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31312103220 = 223253718232579
BaseRepresentation
bin11101001010010110…
…001100011100110100
32222211012020122121200
4131022112030130310
51003111344300340
622215023012500
72155641325446
oct351226143464
988735218550
1031312103220
1112308958662
12609a43a130
132c5017a038
1417307da496
15c33e0a330
hex74a58c734

31312103220 has 144 divisors (see below), whose sum is σ = 97638428160. Its totient is φ = 8116616448.

The previous prime is 31312103201. The next prime is 31312103243. The reversal of 31312103220 is 2230121313.

31312103220 is a `hidden beast` number, since 3 + 131 + 210 + 322 + 0 = 666.

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 = 31312103193 and 31312103202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12139891 + ... + 12142469.

It is an arithmetic number, because the mean of its divisors is an integer number (678044640).

Almost surely, 231312103220 is an apocalyptic number.

31312103220 is a gapful number since it is divisible by the number (30) 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 31312103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48819214080).

31312103220 is an abundant number, since it is smaller than the sum of its proper divisors (66326324940).

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

31312103220 is a wasteful number, since it uses less digits than its factorization.

31312103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31312103220 its reverse (2230121313), we get a palindrome (33542224533).

The spelling of 31312103220 in words is "thirty-one billion, three hundred twelve million, one hundred three 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 1823 2220 2579 3330 3646 5158 5469 6660 7292 7737 9115 10316 10938 12895 15474 16407 18230 21876 23211 25790 27345 30948 32814 36460 38685 46422 51580 54690 65628 67451 77370 82035 92844 95423 109380 116055 134902 154740 164070 190846 202353 232110 269804 286269 328140 337255 381692 404706 464220 477115 572538 607059 674510 809412 858807 954230 1011765 1145076 1214118 1349020 1431345 1717614 1908460 2023530 2428236 2862690 3035295 3435228 4047060 4294035 4701517 5725380 6070590 8588070 9403034 12141180 14104551 17176140 18806068 23507585 28209102 42313653 47015170 56418204 70522755 84627306 94030340 141045510 169254612 173956129 211568265 282091020 347912258 423136530 521868387 695824516 846273060 869780645 1043736774 1565605161 1739561290 2087473548 2609341935 3131210322 3479122580 5218683870 6262420644 7828025805 10437367740 15656051610 31312103220