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211333212100112 = 241916931197134301
BaseRepresentation
bin110000000011010011011001…
…000010010101011000010000
31000201021020221220122020222212
4300003103121002111120100
5210144440404244200422
62025245045400451252
762341215001566644
oct6003233102253020
91021236856566885
10211333212100112
1161378a0386a983
121b851961179b28
1390bc8371c0b7b
143a288211a0c24
1519673dda1e9e2
hexc034d9095610

211333212100112 has 80 divisors (see below), whose sum is σ = 431311706992320. Its totient is φ = 100034803008000.

The previous prime is 211333212100097. The next prime is 211333212100117. The reversal of 211333212100112 is 211001212333112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211333212100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6161121362 + ... + 6161155662.

It is an arithmetic number, because the mean of its divisors is an integer number (5391396337404).

Almost surely, 2211333212100112 is an apocalyptic number.

It is an amenable number.

211333212100112 is an abundant number, since it is smaller than the sum of its proper divisors (219978494892208).

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

211333212100112 is a wasteful number, since it uses less digits than its factorization.

211333212100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47992 (or 47986 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 211333212100112 its reverse (211001212333112), we get a palindrome (422334424433224).

The spelling of 211333212100112 in words is "two hundred eleven trillion, three hundred thirty-three billion, two hundred twelve million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 304 1693 3386 6772 11971 13544 23942 27088 32167 34301 47884 64334 68602 95768 128668 137204 191536 227449 257336 274408 454898 514672 548816 651719 909796 1303438 1819592 2606876 3639184 5213752 10427504 20266903 40533806 58071593 81067612 116143186 162135224 232286372 324270448 385071157 410617271 464572744 770142314 821234542 929145488 1103360267 1540284628 1642469084 2206720534 3080569256 3284938168 4413441068 6161138512 6569876336 7801728149 8826882136 15603456298 17653764272 31206912596 62413825192 124827650384 695175039803 1390350079606 2780700159212 5561400318424 11122800636848 13208325756257 26416651512514 52833303025028 105666606050056 211333212100112