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211023012102112 = 2572940531801487
BaseRepresentation
bin101111111110110010011111…
…101011001111111111100000
31000200011121021112121122110001
4233332302133223033333200
5210124400112044231422
62024450344454145344
762306623650243640
oct5776623753177740
91020147245548401
10211023012102112
11612693a1a78171
121b80180b952254
13909950011b6b2
143a177d5518520
15195e2d5b49227
hexbfec9facffe0

211023012102112 has 96 divisors (see below), whose sum is σ = 491186983633920. Its totient is φ = 87317603735040.

The previous prime is 211023012102107. The next prime is 211023012102121. The reversal of 211023012102112 is 211201210320112.

It is a super-2 number, since 2×2110230121021122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211023012102112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262888633 + ... + 263690119.

It is an arithmetic number, because the mean of its divisors is an integer number (5116531079520).

Almost surely, 2211023012102112 is an apocalyptic number.

It is an amenable number.

211023012102112 is an abundant number, since it is smaller than the sum of its proper divisors (280163971531808).

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

211023012102112 is a wasteful number, since it uses less digits than its factorization.

211023012102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842064 (or 842056 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 211023012102112 its reverse (211201210320112), we get a palindrome (422224222422224).

The spelling of 211023012102112 in words is "two hundred eleven trillion, twenty-three billion, twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 40531 81062 162124 283717 324248 567434 648496 801487 1134868 1175399 1296992 1602974 2269736 2350798 3205948 4539472 4701596 5610409 6411896 8227793 9078944 9403192 11220818 12823792 16455586 18806384 22441636 23243123 25647584 32911172 37612768 44883272 46486246 65822344 89766544 92972492 131644688 162701861 179533088 185944984 263289376 325403722 371889968 650807444 743779936 1301614888 2603229776 5206459552 32485069597 64970139194 129940278388 227395487179 259880556776 454790974358 519761113552 909581948716 942067018313 1039522227104 1819163897432 1884134036626 3638327794864 3768268073252 6594469128191 7276655589728 7536536146504 13188938256382 15073072293008 26377876512764 30146144586016 52755753025528 105511506051056 211023012102112