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111010101100002 = 233135316131849759
BaseRepresentation
bin11001001111011010001101…
…101001000111110111100010
3112120001110110210222020212000
4121033122031221013313202
5104022242141340200002
61032033200355544430
732245133535303666
oct3117321551076742
9476043423866760
10111010101100002
113240a135053015
121054a6022bb116
1349c3291194840
141d5acbbb068a6
15cc7962b5761c
hex64f68da47de2

111010101100002 has 128 divisors (see below), whose sum is σ = 270845706700800. Its totient is φ = 33491688751872.

The previous prime is 111010101099971. The next prime is 111010101100013. The reversal of 111010101100002 is 200001101010111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59088399 + ... + 60938157.

It is an arithmetic number, because the mean of its divisors is an integer number (2115982083600).

Almost surely, 2111010101100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111010101100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135422853350400).

111010101100002 is an abundant number, since it is smaller than the sum of its proper divisors (159835605600798).

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

111010101100002 is a wasteful number, since it uses less digits than its factorization.

111010101100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851449 (or 1851443 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111010101100002 its reverse (200001101010111), we get a palindrome (311011202110113).

The spelling of 111010101100002 in words is "one hundred eleven trillion, ten billion, one hundred one million, one hundred thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 234 318 351 477 689 702 954 1378 1431 1613 2067 2862 3226 4134 4839 6201 9678 12402 14517 18603 20969 29034 37206 41938 43551 62907 85489 87102 125814 170978 188721 256467 377442 512934 566163 769401 1111357 1132326 1538802 1849759 2222714 2308203 3334071 3699518 4616406 5549277 6668142 10002213 11098554 16647831 20004426 24046867 30006639 33295662 48093734 49943493 60013278 72140601 98037227 99886986 144281202 196074454 216421803 294111681 432843606 588223362 649265409 882335043 1274483951 1298530818 1764670086 2548967902 2647005129 2983661267 3823451853 5294010258 5967322534 7646903706 8950983801 11470355559 17901967602 22940711118 26852951403 34411066677 38787596471 53705902806 68822133354 77575192942 80558854209 116362789413 158134047151 161117708418 232725578826 316268094302 349088368239 474402141453 698176736478 948804282906 1047265104717 1423206424359 2055742612963 2094530209434 2846412848718 4111485225926 4269619273077 6167227838889 8539238546154 12334455677778 18501683516667 37003367033334 55505050550001 111010101100002