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31330122320 = 24571932271277
BaseRepresentation
bin11101001011011010…
…111011101001010000
32222212110011010011202
4131023122323221100
51003131002403240
622220505130332
72156250434330
oct351332735120
988773133152
1031330122320
1112318045682
1260a44899a8
132c53b18923
141732d6b0c0
15c357b9315
hex74b6bba50

31330122320 has 160 divisors (see below), whose sum is σ = 84114402048. Its totient is φ = 10630692864.

The previous prime is 31330122319. The next prime is 31330122337. The reversal of 31330122320 is 2322103313.

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 = 31330122292 and 31330122301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24533522 + ... + 24534798.

Almost surely, 231330122320 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 31330122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42057201024).

31330122320 is an abundant number, since it is smaller than the sum of its proper divisors (52784279728).

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

31330122320 is a wasteful number, since it uses less digits than its factorization.

31330122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1711 counting only the distinct ones).

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

Adding to 31330122320 its reverse (2322103313), we get a palindrome (33652225633).

The spelling of 31330122320 in words is "thirty-one billion, three hundred thirty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 193 227 280 386 454 560 772 908 965 1135 1277 1351 1544 1589 1816 1930 2270 2554 2702 3088 3178 3632 3860 4540 5108 5404 6356 6385 6755 7720 7945 8939 9080 10216 10808 12712 12770 13510 15440 15890 17878 18160 20432 21616 25424 25540 27020 31780 35756 43811 44695 51080 54040 63560 71512 87622 89390 102160 108080 127120 143024 175244 178780 219055 246461 289879 306677 350488 357560 438110 492922 579758 613354 700976 715120 876220 985844 1159516 1226708 1232305 1449395 1533385 1725227 1752440 1971688 2029153 2319032 2453416 2464610 2898790 3066770 3450454 3504880 3943376 4058306 4638064 4906832 4929220 5797580 6133540 6900908 8116612 8626135 9858440 10145765 11595160 12267080 13801816 16233224 17252270 19716880 20291530 23190320 24534160 27603632 32466448 34504540 40583060 55946647 69009080 81166120 111893294 138018160 162332240 223786588 279733235 391626529 447573176 559466470 783253058 895146352 1118932940 1566506116 1958132645 2237865880 3133012232 3916265290 4475731760 6266024464 7832530580 15665061160 31330122320