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111020012212101 = 31719592203881477
BaseRepresentation
bin11001001111100011011100…
…011001000000111110000101
3112120002102001112110220200220
4121033203130121000332011
5104022422441111241401
61032041520045254553
732245634253334356
oct3117433431007605
9476072045426626
10111020012212101
1132413360676253
1210550509564459
1349c41b062c305
141d5b57c12bd2d
15cc7d42d08336
hex64f8dc640f85

111020012212101 has 64 divisors (see below), whose sum is σ = 167855977036800. Its totient is φ = 64845267158016.

The previous prime is 111020012212099. The next prime is 111020012212127. The reversal of 111020012212101 is 101212210020111.

It is a happy number.

It is not a de Polignac number, because 111020012212101 - 21 = 111020012212099 is a prime.

It is a super-2 number, since 2×1110200122121012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020012212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125506975 + ... + 126388451.

It is an arithmetic number, because the mean of its divisors is an integer number (2622749641200).

Almost surely, 2111020012212101 is an apocalyptic number.

It is an amenable number.

111020012212101 is a deficient number, since it is larger than the sum of its proper divisors (56835964824699).

111020012212101 is a wasteful number, since it uses less digits than its factorization.

111020012212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883778.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111020012212101 its reverse (101212210020111), we get a palindrome (212232222232212).

The spelling of 111020012212101 in words is "one hundred eleven trillion, twenty billion, twelve million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 17 19 51 57 59 177 323 969 1003 1121 2203 3009 3363 6609 19057 37451 41857 57171 112353 125571 129977 389931 711569 881477 2134707 2209609 2469563 2644431 6628827 7408689 14985109 16748063 41982571 44955327 50244189 52007143 125947713 156021429 284717071 854151213 884121431 988135717 1941893831 2652364293 2964407151 5825681493 16798307189 33012195127 36895982789 50394921567 99036585381 110687948367 114571736029 343715208087 627231707413 1881695122239 1947719512493 2176862984551 5843158537479 6530588953653 37006670737367 111020012212101