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10611000100104 = 23329373287914197
BaseRepresentation
bin1001101001101001000011…
…1001000100010100001000
31101120101211211201021212120
42122122100321010110020
52342322312011200404
634322343125411240
72143422321453105
oct232322071042410
941511754637776
1010611000100104
113421110a23638
121234596569b20
135bc7c7a46ab1
1428980a2abaac
1513603a86e9d9
hex9a690e44508

10611000100104 has 128 divisors (see below), whose sum is σ = 27527309568000. Its totient is φ = 3404456100864.

The previous prime is 10611000100081. The next prime is 10611000100153. The reversal of 10611000100104 is 40100100011601.

It is a super-2 number, since 2×106110001001042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747404334 + ... + 747418530.

It is an arithmetic number, because the mean of its divisors is an integer number (215057106000).

Almost surely, 210611000100104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10611000100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763654784000).

10611000100104 is an abundant number, since it is smaller than the sum of its proper divisors (16916309467896).

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

10611000100104 is a wasteful number, since it uses less digits than its factorization.

10611000100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17487 (or 17483 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10611000100104 its reverse (40100100011601), we get a palindrome (50711100111705).

The spelling of 10611000100104 in words is "ten trillion, six hundred eleven billion, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 373 696 746 1119 1492 2238 2879 2984 4476 5758 8637 8952 10817 11516 14197 17274 21634 23032 28394 32451 34548 42591 43268 56788 64902 69096 83491 85182 86536 113576 129804 166982 170364 250473 259608 333964 340728 411713 500946 667928 823426 1001892 1073867 1235139 1646852 2003784 2147734 2470278 3221601 3293704 4295468 4940556 5295481 6443202 8590936 9881112 10590962 12886404 15886443 21181924 25772808 31142143 31772886 40873163 42363848 62284286 63545772 81746326 93426429 122619489 124568572 127091544 153568949 163492652 186852858 245238978 249137144 307137898 326985304 373705716 460706847 490477956 614275796 747411432 921413694 980955912 1185321727 1228551592 1842827388 2370643454 3555965181 3685654776 4741286908 7111930362 9482573816 14223860724 15245689799 28447721448 30491379598 45737069397 60982759196 91474138794 121965518392 182948277588 365896555176 442125004171 884250008342 1326375012513 1768500016684 2652750025026 3537000033368 5305500050052 10611000100104