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111100600101114 = 233131574332328047
BaseRepresentation
bin11001010000101110011111…
…110011011010100011111010
3112120101010001211210211211000
4121100232133303122203322
5104030233012111213424
61032142524443345430
732254516304154201
oct3120563763324372
9476333054724730
10111100600101114
1132444555409018
121056405a222276
1349cb9844ac340
141d61424dba238
15cc9eacc013c9
hex650b9fcda8fa

111100600101114 has 128 divisors (see below), whose sum is σ = 268193364526080. Its totient is φ = 33888602022912.

The previous prime is 111100600101077. The next prime is 111100600101181. The reversal of 111100600101114 is 411101006001111.

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

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, 46558639 + ... + 48886685.

It is an arithmetic number, because the mean of its divisors is an integer number (2095260660360).

Almost surely, 2111100600101114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100600101114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134096682263040).

111100600101114 is an abundant number, since it is smaller than the sum of its proper divisors (157092764424966).

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

111100600101114 is a wasteful number, since it uses less digits than its factorization.

111100600101114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328661 (or 2328655 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 111100600101114 its reverse (411101006001111), we get a palindrome (522201606102225).

The spelling of 111100600101114 in words is "one hundred eleven trillion, one hundred billion, six hundred million, one hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 157 234 314 351 433 471 702 866 942 1299 1413 2041 2598 2826 3897 4082 4239 5629 6123 7794 8478 11258 11691 12246 16887 18369 23382 33774 36738 50661 55107 67981 101322 110214 135962 151983 203943 303966 407886 611829 883753 1223658 1767506 1835487 2328047 2651259 3670974 4656094 5302518 6984141 7953777 13968282 15907554 20952423 23861331 30264611 41904846 47722662 60529222 62857269 90793833 125714538 181587666 272381499 365503379 544762998 731006758 817144497 1008044351 1096510137 1634288994 2016088702 2193020274 3024133053 3289530411 4751543927 6048266106 6579060822 9072399159 9503087854 9868591233 13104576563 14254631781 18144798318 19737182466 26209153126 27217197477 28509263562 39313729689 42763895343 54434394954 78627459378 85527790686 117941189067 128291686029 158262963107 235882378134 256583372058 316525926214 353823567201 474788889321 707647134402 949577778642 1424366667963 2057418520391 2848733335926 4114837040782 4273100003889 6172255561173 8546200007778 12344511122346 18516766683519 37033533367038 55550300050557 111100600101114