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31320213432 = 233171512631933
BaseRepresentation
bin11101001010110101…
…001000011110111000
32222211202111200201220
4131022311020132320
51003120433312212
622215512512040
72156100264414
oct351265103670
988752450656
1031320213432
1112312497a12
1260a10ab620
132c51a59691
14173190bd44
15c349ad38c
hex74ad487b8

31320213432 has 128 divisors (see below), whose sum is σ = 83816156160. Its totient is φ = 9718732800.

The previous prime is 31320213413. The next prime is 31320213467. The reversal of 31320213432 is 23431202313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 16201938 + ... + 16203870.

It is an arithmetic number, because the mean of its divisors is an integer number (654813720).

Almost surely, 231320213432 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 31320213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41908078080).

31320213432 is an abundant number, since it is smaller than the sum of its proper divisors (52495942728).

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

31320213432 is a wasteful number, since it uses less digits than its factorization.

31320213432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31320213432 its reverse (23431202313), we get a palindrome (54751415745).

The spelling of 31320213432 in words is "thirty-one billion, three hundred twenty million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 151 204 263 302 408 453 526 604 789 906 1052 1208 1578 1812 1933 2104 2567 3156 3624 3866 4471 5134 5799 6312 7701 7732 8942 10268 11598 13413 15402 15464 17884 20536 23196 26826 30804 32861 35768 39713 46392 53652 61608 65722 79426 98583 107304 119139 131444 158852 197166 238278 262888 291883 317704 394332 476556 508379 583766 675121 788664 875649 953112 1016758 1167532 1350242 1525137 1751298 2025363 2033516 2335064 2700484 3050274 3502596 4050726 4067032 4962011 5400968 6100548 7005192 8101452 8642443 9924022 12201096 14886033 16202904 17284886 19848044 25927329 29772066 34569772 39696088 51854658 59544132 69139544 76765229 103709316 119088264 153530458 207418632 230295687 307060916 460591374 614121832 921182748 1305008893 1842365496 2610017786 3915026679 5220035572 7830053358 10440071144 15660106716 31320213432