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31112200111302 = 235241631420967
BaseRepresentation
bin1110001001011110111111…
…01000101100010011000110
311002011022000201102101200000
413010233133220230103012
513034220241212030202
6150100425235302130
76360532215350322
oct704573750542306
9132138021371600
1031112200111302
119a05678962262
1235a5904a4a946
131448b38974b9b
14797ba4c82982
1538e47687791c
hex1c4bdfa2c4c6

31112200111302 has 96 divisors (see below), whose sum is σ = 70307906532864. Its totient is φ = 10311309590400.

The previous prime is 31112200111283. The next prime is 31112200111319. The reversal of 31112200111302 is 20311100221113.

31112200111302 is a `hidden beast` number, since 31 + 1 + 1 + 220 + 0 + 111 + 302 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73696023 + ... + 74116989.

It is an arithmetic number, because the mean of its divisors is an integer number (732374026384).

Almost surely, 231112200111302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112200111302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35153953266432).

31112200111302 is an abundant number, since it is smaller than the sum of its proper divisors (39195706421562).

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

31112200111302 is a wasteful number, since it uses less digits than its factorization.

31112200111302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421856 (or 421844 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31112200111302 its reverse (20311100221113), we get a palindrome (51423300332415).

The spelling of 31112200111302 in words is "thirty-one trillion, one hundred twelve billion, two hundred million, one hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 241 243 482 486 631 723 1262 1446 1893 2169 3786 4338 5679 6507 11358 13014 17037 19521 34074 39042 51111 58563 102222 117126 152071 153333 304142 306666 420967 456213 841934 912426 1262901 1368639 2525802 2737278 3788703 4105917 7577406 8211834 11366109 12317751 22732218 24635502 34098327 36953253 68196654 73906506 101453047 102294981 202906094 204589962 265630177 304359141 531260354 608718282 796890531 913077423 1593781062 1826154846 2390671593 2739232269 4781343186 5478464538 7172014779 8217696807 14344029558 16435393614 21516044337 24653090421 43032088674 49306180842 64016872657 64548133011 128033745314 129096266022 192050617971 384101235942 576151853913 1152303707826 1728455561739 3456911123478 5185366685217 10370733370434 15556100055651 31112200111302