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10740405011130 = 2345191674141687
BaseRepresentation
bin1001110001001011001000…
…0001101000001010111010
31102000202212021212212220000
42130102302001220022322
52401432322140324010
634502023550013430
72155653151164144
oct234226201501272
942022767785800
1010740405011130
113470a866995a3
12125568baa7276
135cba7b552172
14291ba470bc94
151395b13357c0
hex9c4b20682ba

10740405011130 has 160 divisors (see below), whose sum is σ = 30402288005760. Its totient is φ = 2713138312320.

The previous prime is 10740405011101. The next prime is 10740405011131. The reversal of 10740405011130 is 3111050404701.

10740405011130 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 0 + 40 + 501 + 113 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10740405011094 and 10740405011103.

It is not an unprimeable number, because it can be changed into a prime (10740405011131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 257623147 + ... + 257664833.

It is an arithmetic number, because the mean of its divisors is an integer number (190014300036).

Almost surely, 210740405011130 is an apocalyptic number.

10740405011130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10740405011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201144002880).

10740405011130 is an abundant number, since it is smaller than the sum of its proper divisors (19661882994630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10740405011130 is a wasteful number, since it uses less digits than its factorization.

10740405011130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58466 (or 58457 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10740405011130 its reverse (3111050404701), we get a palindrome (13851455415831).

The spelling of 10740405011130 in words is "ten trillion, seven hundred forty billion, four hundred five million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 15390 16741 33482 41687 50223 83374 83705 100446 125061 150669 167410 208435 250122 251115 301338 318079 375183 416870 452007 502230 625305 636158 750366 753345 792053 904014 954237 1125549 1250610 1356021 1506690 1584106 1590395 1875915 1908474 2251098 2260035 2376159 2712042 2862711 3180790 3376647 3751830 3960265 4520070 4752318 4771185 5627745 5725422 6753294 6780105 7128477 7920530 8588133 9542370 11255490 11880795 13560210 14256954 14313555 16883235 17176266 21385431 23761590 25764399 28627110 33766470 35642385 42770862 42940665 51528798 64156293 71284770 85881330 106927155 128312586 128821995 213854310 257643990 320781465 641562930 697882067 1395764134 2093646201 3489410335 4187292402 6280938603 6978820670 10468231005 12561877206 13259759273 18842815809 20936462010 26519518546 31404693015 37685631618 39779277819 56528447427 62809386030 66298796365 79558555638 94214079045 113056894854 119337833457 132597592730 188428158090 198896389095 238675666914 282642237135 358013500371 397792778190 565284474270 596689167285 716027000742 1074040501113 1193378334570 1790067501855 2148081002226 3580135003710 5370202505565 10740405011130