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211201010022112 = 25115910169540159
BaseRepresentation
bin110000000001011000010001…
…001011011011011011100000
31000200210121201112002212020121
4300001120101023123123200
5210140304132031201422
62025104223215250024
762325524625510055
oct6001302113333340
91020717645085217
10211201010022112
1161327933181a80
121b830206b19914
1390b022903ac06
143a2227d47702c
151963c526cd8c7
hexc016112db6e0

211201010022112 has 48 divisors (see below), whose sum is σ = 461290341657600. Its totient is φ = 94373332666240.

The previous prime is 211201010022091. The next prime is 211201010022137. The reversal of 211201010022112 is 211220010102112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5084749312 + ... + 5084790847.

It is an arithmetic number, because the mean of its divisors is an integer number (9610215451200).

Almost surely, 2211201010022112 is an apocalyptic number.

211201010022112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211201010022112 is an abundant number, since it is smaller than the sum of its proper divisors (250089331635488).

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

211201010022112 is a wasteful number, since it uses less digits than its factorization.

211201010022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169540239 (or 10169540231 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211201010022112 its reverse (211220010102112), we get a palindrome (422421020124224).

The spelling of 211201010022112 in words is "two hundred eleven trillion, two hundred one billion, ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 59 88 118 176 236 352 472 649 944 1298 1888 2596 5192 10384 20768 10169540159 20339080318 40678160636 81356321272 111864941749 162712642544 223729883498 325425285088 447459766996 600002869381 894919533992 1200005738762 1789839067984 2400011477524 3579678135968 4800022955048 6600031563191 9600045910096 13200063126382 19200091820192 26400126252764 52800252505528 105600505011056 211201010022112