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211027154156 = 2271319239127669
BaseRepresentation
bin1100010010001000110…
…0101101010011101100
3202011200211211011020022
43010202030231103230
511424140422413111
6240540004141312
721150310133330
oct3044214552354
9664624734208
10211027154156
1181550366345
1234a94697838
1316b90a63370
14a2dc81d7c0
1557515c92db
hex312232d4ec

211027154156 has 96 divisors (see below), whose sum is σ = 480447744000. Its totient is φ = 78757878528.

The previous prime is 211027153993. The next prime is 211027154179. The reversal of 211027154156 is 651451720112.

211027154156 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1589090 + ... + 1716758.

It is an arithmetic number, because the mean of its divisors is an integer number (5004664000).

Almost surely, 2211027154156 is an apocalyptic number.

211027154156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211027154156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240223872000).

211027154156 is an abundant number, since it is smaller than the sum of its proper divisors (269420589844).

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

211027154156 is a wasteful number, since it uses less digits than its factorization.

211027154156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127951 (or 127949 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

Adding to 211027154156 its reverse (651451720112), we get a palindrome (862478874268).

The spelling of 211027154156 in words is "two hundred eleven billion, twenty-seven million, one hundred fifty-four thousand, one hundred fifty-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 239 247 266 364 478 494 532 956 988 1673 1729 3107 3346 3458 4541 6214 6692 6916 9082 12428 18164 21749 31787 43498 59033 63574 86996 118066 127148 127669 236132 255338 413231 510676 826462 893683 1652924 1659697 1787366 2425711 3319394 3574732 4851422 6638788 9702844 11617879 16979977 23235758 30512891 31534243 33959954 46471516 61025782 63068486 67919908 122051564 126136972 213590237 220739701 396667583 427180474 441479402 579744929 793335166 854360948 882958804 1159489858 1586670332 2318979716 2776673081 4058214503 5553346162 7536684077 8116429006 11106692324 15073368154 16232858012 30146736308 52756788539 105513577078 211027154156