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31113311132232 = 23327223276828521
BaseRepresentation
bin1110001001100001000011…
…10110111001101001001000
311002011101220011000002212100
413010300201312321221020
513034230030122212412
6150101131404313400
76360601566024360
oct704604166715110
9132141804002770
1031113311132232
119a0609901477a
1235a5b74b42860
131448c84bb4014
14797c6c64d9a0
1538e4de188edc
hex1c4c21db9a48

31113311132232 has 96 divisors (see below), whose sum is σ = 96734958727680. Its totient is φ = 8849654127360.

The previous prime is 31113311132221. The next prime is 31113311132237. The reversal of 31113311132232 is 23223111331113.

31113311132232 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 331 + 1 + 1 + 322 + 3 + 2 = 666.

It is a super-2 number, since 2×311133111322322 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31113311132196 and 31113311132205.

It is not an unprimeable number, because it can be changed into a prime (31113311132237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138301869 + ... + 138526652.

It is an arithmetic number, because the mean of its divisors is an integer number (1007655820080).

Almost surely, 231113311132232 is an apocalyptic number.

It is an amenable number.

31113311132232 is an abundant number, since it is smaller than the sum of its proper divisors (65621647595448).

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

31113311132232 is a wasteful number, since it uses less digits than its factorization.

31113311132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276828763 (or 276828756 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 31113311132232 its reverse (23223111331113), we get a palindrome (54336422463345).

The spelling of 31113311132232 in words is "thirty-one trillion, one hundred thirteen billion, three hundred eleven million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 223 252 446 504 669 892 1338 1561 1784 2007 2676 3122 4014 4683 5352 6244 8028 9366 12488 14049 16056 18732 28098 37464 56196 112392 276828521 553657042 830485563 1107314084 1660971126 1937799647 2214628168 2491456689 3321942252 3875599294 4982913378 5813398941 6643884504 7751198588 9965826756 11626797882 15502397176 17440196823 19931653512 23253595764 34880393646 46507191528 61732760183 69760787292 123465520366 139521574584 185198280549 246931040732 370396561098 432129321281 493862081464 555594841647 740793122196 864258642562 1111189683294 1296387963843 1481586244392 1728517285124 2222379366588 2592775927686 3457034570248 3889163891529 4444758733176 5185551855372 7778327783058 10371103710744 15556655566116 31113311132232