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31021332320 = 2551167263071
BaseRepresentation
bin11100111001000000…
…111111011101100000
32222001221002221221002
4130321000333131200
51002012430113240
622130114451132
72145510655046
oct347100773540
988057087832
1031021332320
1112179808130
126018b93aa8
132c04b60c54
141703d4a396
15c18620d15
hex73903f760

31021332320 has 96 divisors (see below), whose sum is σ = 81144032256. Its totient is φ = 11112076800.

The previous prime is 31021332313. The next prime is 31021332341. The reversal of 31021332320 is 2323312013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31021332292 and 31021332301.

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, 13616 + ... + 249455.

It is an arithmetic number, because the mean of its divisors is an integer number (845250336).

Almost surely, 231021332320 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 31021332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40572016128).

31021332320 is an abundant number, since it is smaller than the sum of its proper divisors (50122699936).

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

31021332320 is a wasteful number, since it uses less digits than its factorization.

31021332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263164 (or 263156 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31021332320 its reverse (2323312013), we get a palindrome (33344644333).

The spelling of 31021332320 in words is "thirty-one billion, twenty-one million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 67 80 88 110 134 160 176 220 268 335 352 440 536 670 737 880 1072 1340 1474 1760 2144 2680 2948 3685 5360 5896 7370 10720 11792 14740 23584 29480 58960 117920 263071 526142 1052284 1315355 2104568 2630710 2893781 4209136 5261420 5787562 8418272 10522840 11575124 14468905 17625757 21045680 23150248 28937810 35251514 42091360 46300496 57875620 70503028 88128785 92600992 115751240 141006056 176257570 193883327 231502480 282012112 352515140 387766654 463004960 564024224 705030280 775533308 969416635 1410060560 1551066616 1938833270 2820121120 3102133232 3877666540 6204266464 7755333080 15510666160 31021332320