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201112202211102 = 232713204517600337
BaseRepresentation
bin101101101110100100010101…
…010111110110111100011110
3222101002010202011022101010200
4231232210111113312330132
5202330010242231223402
61551421400434444330
760234606565162530
oct5556442527667436
9871063664271120
10201112202211102
115909822a189126
121a680a857336a6
13882aa5107b4c0
143793c4d905850
15183b5cae0521c
hexb6e9155f6f1e

201112202211102 has 96 divisors (see below), whose sum is σ = 536302721502912. Its totient is φ = 53040233106432.

The previous prime is 201112202211097. The next prime is 201112202211119.

201112202211102 is a `hidden beast` number, since 2 + 0 + 111 + 220 + 221 + 110 + 2 = 666.

201112202211102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2011122022111022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334698678 + ... + 335299014.

It is an arithmetic number, because the mean of its divisors is an integer number (5586486682322).

Almost surely, 2201112202211102 is an apocalyptic number.

201112202211102 is an abundant number, since it is smaller than the sum of its proper divisors (335190519291810).

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

201112202211102 is a wasteful number, since it uses less digits than its factorization.

201112202211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804882 (or 804879 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 20111220 and 2211102, that added together give a palindrome (22322322).

The spelling of 201112202211102 in words is "two hundred one trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 204517 409034 600337 613551 1200674 1227102 1431619 1801011 1840653 2658721 2863238 3602022 3681306 4202359 4294857 5317442 5403033 7804381 7976163 8404718 8589714 10806066 12607077 12884571 15608762 15952326 18611047 23413143 23928489 25214154 25769142 37222094 37821231 46826286 47856978 54630667 55833141 70239429 75642462 109261334 111666282 140478858 163892001 167499423 327784002 334998846 491676003 983352006 122779122229 245558244458 368337366687 736674733374 859453855603 1105012100061 1596128588977 1718907711206 2210024200122 2578361566809 3192257177954 4788385766931 5156723133618 7735084700427 9576771533862 11172900122839 14365157300793 15470169400854 22345800245678 28730314601586 33518700368517 67037400737034 100556101105551 201112202211102