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11123012120130 = 23255313717020937
BaseRepresentation
bin1010000111011100011100…
…1011111010111001000010
31110101100102211122211211200
42201313013023322321002
52424214412100321010
635353501412122030
72225416416021141
oct241670713727102
943340384584750
1011123012120130
1135a9274402509
1212b786a306316
13628b84677511
142a64dc95b758
15144505ce9cc0
hexa1dc72fae42

11123012120130 has 96 divisors (see below), whose sum is σ = 29680567014384. Its totient is φ = 2888929425408.

The previous prime is 11123012120069. The next prime is 11123012120137. The reversal of 11123012120130 is 3102121032111.

11123012120130 is a `hidden beast` number, since 1 + 112 + 301 + 2 + 120 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3540858868089 + 7582153252041 = 1881717^2 + 2753571^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11123012120137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7856979 + ... + 9163958.

Almost surely, 211123012120130 is an apocalyptic number.

11123012120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11123012120130 is an abundant number, since it is smaller than the sum of its proper divisors (18557554894254).

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

11123012120130 is a wasteful number, since it uses less digits than its factorization.

11123012120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17021140 (or 17021137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11123012120130 its reverse (3102121032111), we get a palindrome (14225133152241).

The spelling of 11123012120130 in words is "eleven trillion, one hundred twenty-three billion, twelve million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 137 159 265 274 318 411 477 530 685 795 822 954 1233 1370 1590 2055 2385 2466 4110 4770 6165 7261 12330 14522 21783 36305 43566 65349 72610 108915 130698 217830 326745 653490 17020937 34041874 51062811 85104685 102125622 153188433 170209370 255314055 306376866 510628110 765942165 902109661 1531884330 1804219322 2331868369 2706328983 4510548305 4663736738 5412657966 6995605107 8118986949 9021096610 11659341845 13531644915 13991210214 16237973898 20986815321 23318683690 27063289830 34978025535 40594934745 41973630642 69956051070 81189869490 104934076605 123589023557 209868153210 247178047114 370767070671 617945117785 741534141342 1112301212013 1235890235570 1853835353355 2224602424026 3707670706710 5561506060065 11123012120130