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31002320320 = 265539771871
BaseRepresentation
bin11100110111111000…
…011101110111000000
32222000121100001100221
4130313320131313000
51001443043222240
622124155152424
72145160242346
oct346770356700
988017301327
1031002320320
111216a002134
126012745714
132c00c3544a
1417015db996
15c16b17a4a
hex737e1ddc0

31002320320 has 112 divisors (see below), whose sum is σ = 75334416768. Its totient is φ = 12147998720.

The previous prime is 31002320243. The next prime is 31002320347. The reversal of 31002320320 is 2302320013.

It is a super-2 number, since 2×310023203202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31002320294 and 31002320303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16568985 + ... + 16570855.

Almost surely, 231002320320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37667208384).

31002320320 is an abundant number, since it is smaller than the sum of its proper divisors (44332096448).

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

31002320320 is a wasteful number, since it uses less digits than its factorization.

31002320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 31002320320 its reverse (2302320013), we get a palindrome (33304640333).

The spelling of 31002320320 in words is "thirty-one billion, two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 977 1060 1696 1871 1954 2120 3392 3742 3908 4240 4885 7484 7816 8480 9355 9770 14968 15632 16960 18710 19540 29936 31264 37420 39080 51781 59872 62528 74840 78160 99163 103562 119744 149680 156320 198326 207124 258905 299360 312640 396652 414248 495815 517810 598720 793304 828496 991630 1035620 1586608 1656992 1827967 1983260 2071240 3173216 3313984 3655934 3966520 4142480 6346432 7311868 7933040 8284960 9139835 14623736 15866080 16569920 18279670 29247472 31732160 36559340 58494944 73118680 96882251 116989888 146237360 193764502 292474720 387529004 484411255 584949440 775058008 968822510 1550116016 1937645020 3100232032 3875290040 6200464064 7750580080 15501160160 31002320320