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10104134334 = 237101107113197
BaseRepresentation
bin10010110100100000…
…01101101010111110
3222002011201012120120
421122100031222332
5131143124244314
64350342355410
7505250503410
oct113220155276
928064635516
1010104134334
11431557a748
121b5ba2bb66
13c5044aa18
146bbd0c9b0
153e20cc8a9
hex25a40dabe

10104134334 has 128 divisors (see below), whose sum is σ = 23870702592. Its totient is φ = 2792294400.

The previous prime is 10104134329. The next prime is 10104134377. The reversal of 10104134334 is 43343140101.

10104134334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51289924 + ... + 51290120.

It is an arithmetic number, because the mean of its divisors is an integer number (186489864).

Almost surely, 210104134334 is an apocalyptic number.

10104134334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10104134334 is an abundant number, since it is smaller than the sum of its proper divisors (13766568258).

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

10104134334 is a wasteful number, since it uses less digits than its factorization.

10104134334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10104134334 its reverse (43343140101), we get a palindrome (53447274435).

The spelling of 10104134334 in words is "ten billion, one hundred four million, one hundred thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 101 107 113 197 202 214 226 303 321 339 394 591 606 642 678 707 749 791 1182 1379 1414 1498 1582 2121 2247 2373 2758 4137 4242 4494 4746 8274 10807 11413 12091 19897 21079 21614 22261 22826 24182 32421 34239 36273 39794 42158 44522 59691 63237 64842 66783 68478 72546 75649 79891 84637 119382 126474 133566 139279 147553 151298 155827 159782 169274 226947 239673 253911 278558 295106 311654 417837 442659 453894 467481 479346 507822 835674 885318 934962 1221191 2128979 2248361 2381927 2442382 3663573 4257958 4496722 4763854 6386937 6745083 7145781 7327146 8548337 12773874 13490166 14291562 14902853 15738527 16673489 17096674 25645011 29805706 31477054 33346978 44708559 47215581 50020467 51290022 89417118 94431162 100040934 240574627 481149254 721723881 1443447762 1684022389 3368044778 5052067167 10104134334