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31220310033 = 3311139756251
BaseRepresentation
bin11101000100111000…
…000010000000010001
32222120210112002001000
4131010320002000101
51002414344410113
622201543332213
72153445154023
oct350470020021
988523462030
1031220310033
1112271062020
126073751069
132c3714ab43
141722544013
15c2ad27373
hex744e02011

31220310033 has 32 divisors (see below), whose sum is σ = 50820134400. Its totient is φ = 18785250000.

The previous prime is 31220310029. The next prime is 31220310041. The reversal of 31220310033 is 33001302213.

It is not a de Polignac number, because 31220310033 - 22 = 31220310029 is a prime.

It is a super-2 number, since 2×312203100332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31220309988 and 31220310015.

It is not an unprimeable number, because it can be changed into a prime (31220310053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336843 + ... + 419408.

It is an arithmetic number, because the mean of its divisors is an integer number (1588129200).

Almost surely, 231220310033 is an apocalyptic number.

31220310033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31220310033 is a deficient number, since it is larger than the sum of its proper divisors (19599824367).

31220310033 is a wasteful number, since it uses less digits than its factorization.

31220310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756410 (or 756404 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31220310033 its reverse (33001302213), we get a palindrome (64221612246).

The spelling of 31220310033 in words is "thirty-one billion, two hundred twenty million, three hundred ten thousand, thirty-three".

Divisors: 1 3 9 11 27 33 99 139 297 417 1251 1529 3753 4587 13761 41283 756251 2268753 6806259 8318761 20418777 24956283 74868849 105118889 224606547 315356667 946070001 1156307779 2838210003 3468923337 10406770011 31220310033