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31322001223100 = 22527443162162311
BaseRepresentation
bin1110001111100101110001…
…10000011010110110111100
311002220100120010020010222002
413013302320300122312330
513101134424303114400
6150341043445241432
76411640250362310
oct707627060326674
9132810503203862
1031322001223100
119a8664a144855
12361a4b6a03278
1314628626c62a3
147a3dc8913b40
15394b554beed5
hex1c7cb8c1adbc

31322001223100 has 144 divisors (see below), whose sum is σ = 77903188210176. Its totient is φ = 10707948576000.

The previous prime is 31322001223087. The next prime is 31322001223187. The reversal of 31322001223100 is 132210022313.

It is a super-2 number, since 2×313220012231002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502640945 + ... + 502703255.

Almost surely, 231322001223100 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 31322001223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38951594105088).

31322001223100 is an abundant number, since it is smaller than the sum of its proper divisors (46581186987076).

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

31322001223100 is a wasteful number, since it uses less digits than its factorization.

31322001223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64396 (or 64389 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31322001223100 its reverse (132210022313), we get a palindrome (31454211245413).

The spelling of 31322001223100 in words is "thirty-one trillion, three hundred twenty-two billion, one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 443 700 886 1621 1772 2215 3101 3242 4430 6202 6484 8105 8860 11075 11347 12404 15505 16210 22150 22694 31010 32420 40525 44300 45388 56735 62020 62311 77525 81050 113470 124622 155050 162100 226940 249244 283675 310100 311555 436177 567350 623110 718103 872354 1134700 1246220 1436206 1557775 1744708 2180885 2872412 3115550 3590515 4361770 5026721 6231100 7181030 8723540 10053442 10904425 14362060 17952575 20106884 21808850 25133605 27603773 35905150 43617700 50267210 55207546 71810300 100534420 101006131 110415092 125668025 138018865 193226411 202012262 251336050 276037730 386452822 404024524 502672100 505030655 552075460 690094325 707042917 772905644 966132055 1010061310 1380188650 1414085834 1932264110 2020122620 2525153275 2760377300 2828171668 3535214585 3864528220 4830660275 5050306550 7070429170 9661320550 10100613100 14140858340 17676072925 19322641100 35352145850 44745716033 70704291700 89491432066 178982864132 223728580165 313220012231 447457160330 626440024462 894914320660 1118642900825 1252880048924 1566100061155 2237285801650 3132200122310 4474571603300 6264400244620 7830500305775 15661000611550 31322001223100