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1110013101340 = 2251113288333811
BaseRepresentation
bin10000001001110001111…
…011111100010100011100
310221010010201111000111221
4100021301323330110130
5121141301323220330
62205533305023124
7143124105453553
oct20116173742434
93833121430457
101110013101340
11398832504260
1215b165184aa4
138089b401b00
143ba2127ad9a
151dd19a9ab7a
hex10271efc51c

1110013101340 has 144 divisors (see below), whose sum is σ = 2756796771456. Its totient is φ = 372158841600.

The previous prime is 1110013101299. The next prime is 1110013101359. The reversal of 1110013101340 is 431013100111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32813035 + ... + 32846845.

It is an arithmetic number, because the mean of its divisors is an integer number (19144422024).

Almost surely, 21110013101340 is an apocalyptic number.

1110013101340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110013101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378398385728).

1110013101340 is an abundant number, since it is smaller than the sum of its proper divisors (1646783670116).

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

1110013101340 is a wasteful number, since it uses less digits than its factorization.

1110013101340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34740 (or 34725 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1110013101340 its reverse (431013100111), we get a palindrome (1541026201451).

The spelling of 1110013101340 in words is "one trillion, one hundred ten billion, thirteen million, one hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 715 845 883 1430 1690 1766 1859 2860 3380 3532 3718 4415 7436 8830 9295 9713 11479 17660 18590 19426 22958 33811 37180 38852 45916 48565 57395 67622 97130 114790 126269 135244 149227 169055 194260 229580 252538 298454 338110 371921 439543 505076 596908 631345 676220 743842 746135 879086 1262690 1487684 1492270 1641497 1758172 1859605 2197715 2525380 2984540 3282994 3719210 4395430 4834973 5714059 6565988 7438420 8207485 8790860 9669946 11428118 16414970 19339892 22856236 24174865 28570295 29855113 32829940 48349730 57140590 59710226 62854649 96699460 114281180 119420452 125709298 149275565 251418596 298551130 314273245 328406243 388116469 597102260 628546490 656812486 776232938 1257092980 1313624972 1552465876 1642031215 1940582345 3284062430 3881164690 4269281159 5045514097 6568124860 7762329380 8538562318 10091028194 17077124636 20182056388 21346405795 25227570485 42692811590 50455140970 55500655067 85385623180 100910281940 111001310134 222002620268 277503275335 555006550670 1110013101340