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31145334220 = 225711131555711
BaseRepresentation
bin11101000000011010…
…000001010111001100
32222101120102220120001
4131000122001113030
51002241201143340
622150304334044
72151544654450
oct350032012714
988346386501
1031145334220
1112232802640
126052614324
132c24759560
1417165c8660
15c2446729a
hex7406815cc

31145334220 has 96 divisors (see below), whose sum is σ = 87816830976. Its totient is φ = 8960889600.

The previous prime is 31145334203. The next prime is 31145334263. The reversal of 31145334220 is 2243354113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757836 + ... + 797875.

It is an arithmetic number, because the mean of its divisors is an integer number (914758656).

Almost surely, 231145334220 is an apocalyptic number.

It is an amenable number.

31145334220 is an abundant number, since it is smaller than the sum of its proper divisors (56671496756).

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

31145334220 is a wasteful number, since it uses less digits than its factorization.

31145334220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555751 (or 1555749 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 31145334220 its reverse (2243354113), we get a palindrome (33388688333).

It can be divided in two parts, 3114533 and 4220, that added together give a triangular number (3118753 = T2497).

The spelling of 31145334220 in words is "thirty-one billion, one hundred forty-five million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 1555711 3111422 6222844 7778555 10889977 15557110 17112821 20224243 21779954 31114220 34225642 40448486 43559908 54449885 68451284 80896972 85564105 101121215 108899770 119789747 141569701 171128210 202242430 217799540 222466673 239579494 283139402 342256420 404484860 444933346 479158988 566278804 598948735 707848505 889866692 1112333365 1197897470 1415697010 1557266711 2224666730 2395794940 2831394020 3114533422 4449333460 6229066844 7786333555 15572667110 31145334220