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31002213200220 = 22325374654986967
BaseRepresentation
bin1110000110010010000111…
…11001111011000101011100
311001202210010112122101220200
413003021003321323011130
513030420013034401340
6145534115314143500
76346556513133063
oct703110371730534
9131683115571820
1031002213200220
119972a68142039
12358852a581b90
13143b65b0ab802
1479272d7091da
1538b68a9b8330
hex1c3243e7b15c

31002213200220 has 72 divisors (see below), whose sum is σ = 96581669612064. Its totient is φ = 8043817477248.

The previous prime is 31002213200209. The next prime is 31002213200227. The reversal of 31002213200220 is 2200231220013.

31002213200220 is a `hidden beast` number, since 3 + 100 + 2 + 21 + 320 + 0 + 220 = 666.

It is a super-3 number, since 3×310022132002203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 31002213200193 and 31002213200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002213200227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2327486824 + ... + 2327500143.

Almost surely, 231002213200220 is an apocalyptic number.

31002213200220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31002213200220 is an abundant number, since it is smaller than the sum of its proper divisors (65579456411844).

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

31002213200220 is a wasteful number, since it uses less digits than its factorization.

31002213200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654987019 (or 4654987014 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31002213200220 its reverse (2200231220013), we get a palindrome (33202444420233).

The spelling of 31002213200220 in words is "thirty-one trillion, two billion, two hundred thirteen million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 4654986967 9309973934 13964960901 18619947868 23274934835 27929921802 41894882703 46549869670 55859843604 69824804505 83789765406 93099739340 139649609010 167579530812 172234517779 209474413515 279299218020 344469035558 418948827030 516703553337 688938071116 837897654060 861172588895 1033407106674 1550110660011 1722345177790 2066814213348 2583517766685 3100221320022 3444690355580 5167035533370 6200442640044 7750553300055 10334071066740 15501106600110 31002213200220