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212213121032320 = 2751917451736927
BaseRepresentation
bin110000010000000110110111…
…101100100010000010000000
31000211101101011021112100110021
4300100012313230202002000
5210303344432441013240
62031201210102543224
762461614653242552
oct6020066754420200
91024341137470407
10212213121032320
1161688096490111
121b9743a8a37b14
1391547c4468385
143a592541574d2
15198023c2e254a
hexc101b7b22080

212213121032320 has 64 divisors (see below), whose sum is σ = 534023149996800. Its totient is φ = 80417603755008.

The previous prime is 212213121032281. The next prime is 212213121032323. The reversal of 212213121032320 is 23230121312212.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (212213121032323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8725856304 + ... + 8725880623.

It is an arithmetic number, because the mean of its divisors is an integer number (8344111718700).

Almost surely, 2212213121032320 is an apocalyptic number.

212213121032320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213121032320 is an abundant number, since it is smaller than the sum of its proper divisors (321810028964480).

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

212213121032320 is a wasteful number, since it uses less digits than its factorization.

212213121032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17451736965 (or 17451736953 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 212213121032320 its reverse (23230121312212), we get a palindrome (235443242344532).

The spelling of 212213121032320 in words is "two hundred twelve trillion, two hundred thirteen billion, one hundred twenty-one million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 17451736927 34903473854 69806947708 87258684635 139613895416 174517369270 279227790832 331583001613 349034738540 558455581664 663166003226 698069477080 1116911163328 1326332006452 1396138954160 1657915008065 2233822326656 2652664012904 2792277908320 3315830016130 5305328025808 5584555816640 6631660032260 10610656051616 11169111633280 13263320064520 21221312103232 26526640129040 42442624206464 53053280258080 106106560516160 212213121032320