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111100010000001 = 311371091275765437
BaseRepresentation
bin11001010000101101111100…
…101000010110111010000001
3112120101001112201102121021020
4121100231330220112322001
5104030230310030000001
61032142350123420053
732254465550323611
oct3120557450267201
9476331481377236
10111100010000001
1132444282301350
1210563b14684629
1349cb8bc16b299
141d613aa88ca41
15cc9e75edb736
hex650b7ca16e81

111100010000001 has 64 divisors (see below), whose sum is σ = 167505909922560. Its totient is φ = 64906397660160.

The previous prime is 111100009999903. The next prime is 111100010000033. The reversal of 111100010000001 is 100000010001111.

It is not a de Polignac number, because 111100010000001 - 210 = 111100009998977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111100010000801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1697783655 + ... + 1697849091.

It is an arithmetic number, because the mean of its divisors is an integer number (2617279842540).

Almost surely, 2111100010000001 is an apocalyptic number.

111100010000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111100010000001 is a deficient number, since it is larger than the sum of its proper divisors (56405899922559).

111100010000001 is a wasteful number, since it uses less digits than its factorization.

111100010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78354.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111100010000001 its reverse (100000010001111), we get a palindrome (211100020001112).

The spelling of 111100010000001 in words is "one hundred eleven trillion, one hundred billion, ten million, one", and thus it is an aban number.

Divisors: 1 3 11 33 37 109 111 327 407 1199 1221 3597 4033 12099 12757 38271 44363 65437 133089 140327 196311 420981 472009 719807 1390513 1416027 2159421 2421169 4171539 5192099 7132633 7263507 15295643 15576297 21397899 26632859 45886929 51448981 78458963 79898577 154346943 235376889 263907421 565938791 791722263 834779809 1697816373 2504339427 2902981631 8708944893 9182577899 27547733697 30886852933 90990999181 92660558799 272972997543 339755382263 1000900990991 1019266146789 3002702972973 3366666969697 10100000909091 37033336666667 111100010000001