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31321011020 = 225131012335119
BaseRepresentation
bin11101001010111000…
…001011001101001100
32222211211000012211012
4131022320023031030
51003121134323040
622215541544352
72156110125635
oct351270131514
988754005735
1031321011020
1112312992182
1260a14150b8
132c51c78720
141731a7888c
15c34ab9865
hex74ae0b34c

31321011020 has 96 divisors (see below), whose sum is σ = 71856046080. Its totient is φ = 11398809600.

The previous prime is 31321011019. The next prime is 31321011049. The reversal of 31321011020 is 2011012313.

It is a super-2 number, since 2×313210110202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31321010986 and 31321011004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6116021 + ... + 6121139.

It is an arithmetic number, because the mean of its divisors is an integer number (748500480).

Almost surely, 231321011020 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 31321011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35928023040).

31321011020 is an abundant number, since it is smaller than the sum of its proper divisors (40535035060).

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

31321011020 is a wasteful number, since it uses less digits than its factorization.

31321011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31321011020 its reverse (2011012313), we get a palindrome (33332023333).

The spelling of 31321011020 in words is "thirty-one billion, three hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 233 260 404 466 505 932 1010 1165 1313 2020 2330 2626 3029 4660 5119 5252 6058 6565 10238 12116 13130 15145 20476 23533 25595 26260 30290 47066 51190 60580 66547 94132 102380 117665 133094 235330 266188 305929 332735 470660 517019 611858 665470 1034038 1192727 1223716 1330940 1529645 2068076 2385454 2585095 3059290 4770908 5170190 5963635 6118580 6721247 10340380 11927270 13442494 15505451 23854540 26884988 31010902 33606235 62021804 67212470 77527255 120465427 134424940 155054510 240930854 310109020 481861708 602327135 1204654270 1566050551 2409308540 3132101102 6264202204 7830252755 15660505510 31321011020