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211132210314320 = 24519332514206203
BaseRepresentation
bin110000000000011000001100…
…011001010111110001010000
31000200120001010202022120201222
4300000120030121113301100
5210133142231320024240
62025012444242544212
762320540664603441
oct6000301431276120
91020501122276658
10211132210314320
1161300738576239
121b81aa06068068
1390a68b348aa49
143a1cbd40292c8
151962077664eb5
hexc0060c657c50

211132210314320 has 80 divisors (see below), whose sum is σ = 493577715022272. Its totient is φ = 83989441536000.

The previous prime is 211132210314313. The next prime is 211132210314397. The reversal of 211132210314320 is 23413012231112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 211132210314320.

It is a congruent number.

It is an unprimeable number.

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, 48092339 + ... + 52298541.

Almost surely, 2211132210314320 is an apocalyptic number.

211132210314320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211132210314320 is an abundant number, since it is smaller than the sum of its proper divisors (282445504707952).

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

211132210314320 is a wasteful number, since it uses less digits than its factorization.

211132210314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209660 (or 4209654 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 211132210314320 its reverse (23413012231112), we get a palindrome (234545222545432).

The spelling of 211132210314320 in words is "two hundred eleven trillion, one hundred thirty-two billion, two hundred ten million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3251 3860 6502 7720 13004 15440 16255 26008 32510 52016 65020 130040 260080 627443 1254886 2509772 3137215 4206203 5019544 6274430 8412406 10039088 12548860 16824812 21031015 25097720 33649624 42062030 50195440 67299248 84124060 168248120 336496240 811797179 1623594358 3247188716 4058985895 6494377432 8117971790 12988754864 13674365953 16235943580 27348731906 32471887160 54697463812 64943774320 68371829765 109394927624 136743659530 218789855248 273487319060 546974638120 1093949276240 2639152628929 5278305257858 10556610515716 13195763144645 21113221031432 26391526289290 42226442062864 52783052578580 105566105157160 211132210314320