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31131112220010 = 232511197271594037
BaseRepresentation
bin1110001010000010001101…
…11000101010010101101010
311002020002211201220001121200
413011001012320222111222
513040023004212020020
6150113234023345030
76362101660542435
oct705010670522552
9132202751801550
1031131112220010
119a126a3297470
1235a95025b2176
13144a860b4b45a
14798a7a89c81c
1538ebd1d50590
hex1c5046e2a56a

31131112220010 has 96 divisors (see below), whose sum is σ = 88303686112512. Its totient is φ = 7546548992640.

The previous prime is 31131112220009. The next prime is 31131112220093. The reversal of 31131112220010 is 1002221113113.

31131112220010 is a `hidden beast` number, since 31 + 1 + 311 + 122 + 200 + 1 + 0 = 666.

It is a super-2 number, since 2×311311122200102 (a number of 28 digits) contains 22 as substring.

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

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, 18732712 + ... + 20326748.

It is an arithmetic number, because the mean of its divisors is an integer number (919830063672).

Almost surely, 231131112220010 is an apocalyptic number.

31131112220010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31131112220010 is an abundant number, since it is smaller than the sum of its proper divisors (57172573892502).

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

31131112220010 is a wasteful number, since it uses less digits than its factorization.

31131112220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613788 (or 1613785 counting only the distinct ones).

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

Adding to 31131112220010 its reverse (1002221113113), we get a palindrome (32133333333123).

The spelling of 31131112220010 in words is "thirty-one trillion, one hundred thirty-one billion, one hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 19727 39454 59181 98635 118362 177543 197270 216997 295905 355086 433994 591810 650991 887715 1084985 1301982 1594037 1775430 1952973 2169970 3188074 3254955 3905946 4782111 6509910 7970185 9564222 9764865 14346333 15940370 17534407 19529730 23910555 28692666 35068814 47821110 52603221 71731665 87672035 105206442 143463330 157809663 175344070 263016105 315619326 526032210 789048315 1578096630 31445567899 62891135798 94336703697 157227839495 188673407394 283010111091 314455678990 345901246889 471683518485 566020222182 691802493778 943367036970 1037703740667 1415050555455 1729506234445 2075407481334 2830101110910 3113111222001 3459012468890 5188518703335 6226222444002 10377037406670 15565556110005 31131112220010