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31083020480 = 265315995231
BaseRepresentation
bin11100111100101100…
…010100000011000000
32222020020012001011202
4130330230110003000
51002124223123410
622140201000332
72150160212651
oct347454240300
988206161152
1031083020480
1112200611386
1260357830a8
132c1487c415
14170c207528
15c1dc58ca5
hex73cb140c0

31083020480 has 112 divisors (see below), whose sum is σ = 76546252800. Its totient is φ = 12009753600.

The previous prime is 31083020477. The next prime is 31083020483. The reversal of 31083020480 is 8402038013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31083020477) and next prime (31083020483).

It is not an unprimeable number, because it can be changed into a prime (31083020483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5939465 + ... + 5944695.

Almost surely, 231083020480 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 31083020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38273126400).

31083020480 is an abundant number, since it is smaller than the sum of its proper divisors (45463232320).

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

31083020480 is a wasteful number, since it uses less digits than its factorization.

31083020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 31083020480 its reverse (8402038013), we get a palindrome (39485058493).

The spelling of 31083020480 in words is "thirty-one billion, eighty-three million, twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 599 620 992 1198 1240 1984 2396 2480 2995 4792 4960 5231 5990 9584 9920 10462 11980 18569 19168 20924 23960 26155 37138 38336 41848 47920 52310 74276 83696 92845 95840 104620 148552 162161 167392 185690 191680 209240 297104 324322 334784 371380 418480 594208 648644 742760 810805 836960 1188416 1297288 1485520 1621610 1673920 2594576 2971040 3133369 3243220 5189152 5942080 6266738 6486440 10378304 12533476 12972880 15666845 25066952 25945760 31333690 50133904 51891520 62667380 97134439 100267808 125334760 194268878 200535616 250669520 388537756 485672195 501339040 777075512 971344390 1002678080 1554151024 1942688780 3108302048 3885377560 6216604096 7770755120 15541510240 31083020480