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10031031320 = 2355979173311
BaseRepresentation
bin10010101011110010…
…10110010000011000
3221220002011012002112
421111321112100120
5131020421000240
64335211451452
7503402234162
oct112571262030
927802135075
1010031031320
11428828a332
121b3b456b88
13c3b2639bb
146b231d932
153da98c665
hex255e56418

10031031320 has 128 divisors (see below), whose sum is σ = 23452416000. Its totient is φ = 3859514880.

The previous prime is 10031031293. The next prime is 10031031337. The reversal of 10031031320 is 2313013001.

It is a junction number, because it is equal to n+sod(n) for n = 10031031295 and 10031031304.

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, 32253965 + ... + 32254275.

It is an arithmetic number, because the mean of its divisors is an integer number (183222000).

Almost surely, 210031031320 is an apocalyptic number.

10031031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726208000).

10031031320 is an abundant number, since it is smaller than the sum of its proper divisors (13421384680).

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

10031031320 is a wasteful number, since it uses less digits than its factorization.

10031031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10031031320 its reverse (2313013001), we get a palindrome (12344044321).

The spelling of 10031031320 in words is "ten billion, thirty-one million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 79 118 158 173 236 295 311 316 346 395 472 590 622 632 692 790 865 1180 1244 1384 1555 1580 1730 2360 2488 3110 3160 3460 4661 6220 6920 9322 10207 12440 13667 18349 18644 20414 23305 24569 27334 36698 37288 40828 46610 49138 51035 53803 54668 68335 73396 81656 91745 93220 98276 102070 107606 109336 122845 136670 146792 183490 186440 196552 204140 215212 245690 269015 273340 366980 408280 430424 491380 538030 546680 733960 806353 982760 1076060 1449571 1612706 2152120 2899142 3174377 3225412 4031765 4250437 5798284 6348754 6450824 7247855 8063530 8500874 11596568 12697508 14495710 15871885 16127060 17001748 21252185 25395016 28991420 31743770 32254120 34003496 42504370 57982840 63487540 85008740 126975080 170017480 250775783 501551566 1003103132 1253878915 2006206264 2507757830 5015515660 10031031320