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211111022021268 = 2231931138792152069
BaseRepresentation
bin110000000000000100011101…
…011110011100101010010100
31000200111000110002210202212110
4300000010131132130222110
5210132320333114140033
62024555021544151020
762316160633230345
oct6000043536345224
91020430402722773
10211111022021268
11612a2755307046
121b816892168470
1390a48b785a435
143a1bb83dc00cc
151961737422363
hexc0011d79ca94

211111022021268 has 96 divisors (see below), whose sum is σ = 535283510272000. Its totient is φ = 64511423360640.

The previous prime is 211111022021267. The next prime is 211111022021281. The reversal of 211111022021268 is 862120220111112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211111022021267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97020738 + ... + 99172806.

Almost surely, 2211111022021268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111022021268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267641755136000).

211111022021268 is an abundant number, since it is smaller than the sum of its proper divisors (324172488250732).

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

211111022021268 is a wasteful number, since it uses less digits than its factorization.

211111022021268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166005 (or 2166003 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The spelling of 211111022021268 in words is "two hundred eleven trillion, one hundred eleven billion, twenty-two million, twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 7068 13879 27758 41637 55516 83274 166548 263701 430249 527402 791103 860498 1054804 1290747 1582206 1720996 2152069 2581494 3164412 4304138 5162988 6456207 8174731 8608276 12912414 16349462 24524193 25824828 32698924 40889311 49048386 66714139 81778622 98096772 122667933 133428278 163557244 200142417 245335866 266856556 400284834 490671732 800569668 1267568641 2535137282 3802705923 5070274564 7605411846 15210823692 29868565651 59737131302 89605696953 119474262604 179211393906 358422787812 567502747369 925925535181 1135005494738 1702508242107 1851851070362 2270010989476 2777776605543 3405016484214 3703702140724 5555553211086 6810032968428 11111106422172 17592585168439 35185170336878 52777755505317 70370340673756 105555511010634 211111022021268