Search a number
-
+
211032222230112 = 2535637559516541
BaseRepresentation
bin101111111110111011000100…
…101001000110011001100000
31000200012111001102002121212220
4233332323010221012121200
5210130022442342330422
62024454510423151040
762310401124114033
oct5776730451063140
91020174042077786
10211032222230112
11612722989396a8
121b8035602a5480
13909a33a290b8a
143a1802a7cb01a
15195e6744d0e5c
hexbfeec4a46660

211032222230112 has 96 divisors (see below), whose sum is σ = 555018015202560. Its totient is φ = 70209703610880.

The previous prime is 211032222230099. The next prime is 211032222230177.

211032222230112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 408290562 + ... + 408807102.

It is an arithmetic number, because the mean of its divisors is an integer number (5781437658360).

Almost surely, 2211032222230112 is an apocalyptic number.

It is an amenable number.

211032222230112 is an abundant number, since it is smaller than the sum of its proper divisors (343985792972448).

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

211032222230112 is a wasteful number, since it uses less digits than its factorization.

211032222230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524676 (or 524668 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 211032222230112 in words is "two hundred eleven trillion, thirty-two billion, two hundred twenty-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 563 1126 1689 2252 3378 4504 6756 7559 9008 13512 15118 18016 22677 27024 30236 45354 54048 60472 90708 120944 181416 241888 362832 516541 725664 1033082 1549623 2066164 3099246 4132328 4255717 6198492 8264656 8511434 12396984 12767151 16529312 17022868 24793968 25534302 34045736 49587936 51068604 68091472 102137208 136182944 204274416 290812583 408548832 581625166 872437749 1163250332 1744875498 2326500664 3489750996 3904533419 4653001328 6979501992 7809066838 9306002656 11713600257 13959003984 15618133676 23427200514 27918007968 31236267352 46854401028 62472534704 93708802056 124945069408 187417604112 374835208224 2198252314897 4396504629794 6594756944691 8793009259588 13189513889382 17586018519176 26379027778764 35172037038352 52758055557528 70344074076704 105516111115056 211032222230112