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104031033132 = 2231310920692957
BaseRepresentation
bin110000011100010111…
…0111001011100101100
3100221112002202001011010
41200320232321130230
53201023421030012
6115442522025220
710341662122455
oct1407056713454
9327462661133
10104031033132
1140134895a44
12181b3948210
139a6b9a8450
14506c57212c
152a8d08ec3c
hex1838bb972c

104031033132 has 96 divisors (see below), whose sum is σ = 264026347200. Its totient is φ = 31689833472.

The previous prime is 104031033077. The next prime is 104031033151. The reversal of 104031033132 is 231330130401.

It is a super-2 number, since 2×1040310331322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104031033099 and 104031033108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35179798 + ... + 35182754.

It is an arithmetic number, because the mean of its divisors is an integer number (2750274450).

Almost surely, 2104031033132 is an apocalyptic number.

104031033132 is a gapful number since it is divisible by the number (12) 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 104031033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132013173600).

104031033132 is an abundant number, since it is smaller than the sum of its proper divisors (159995314068).

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

104031033132 is a wasteful number, since it uses less digits than its factorization.

104031033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 104031033132 its reverse (231330130401), we get a palindrome (335361163533).

The spelling of 104031033132 in words is "one hundred four billion, thirty-one million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2069 2834 2957 4138 4251 5668 5914 6207 8276 8502 8871 11828 12414 17004 17742 24828 26897 35484 38441 53794 76882 80691 107588 115323 153764 161382 225521 230646 322313 322764 451042 461292 644626 676563 902084 966939 1289252 1353126 1933878 2706252 2931773 3867756 4190069 5863546 6118033 8380138 8795319 11727092 12236066 12570207 16760276 17590638 18354099 24472132 25140414 35181276 36708198 50280828 73416396 79534429 159068858 238603287 318137716 477206574 666865597 954413148 1333731194 2000596791 2667462388 4001193582 8002387164 8669252761 17338505522 26007758283 34677011044 52015516566 104031033132