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31230000032 = 2571129094357
BaseRepresentation
bin11101000101011100…
…111111101110100000
32222121110202101012212
4131011130333232200
51002424340000112
622202531141252
72153623422530
oct350534775640
988543671185
1031230000032
1112276580290
126076a44828
132c3916157a
1417239474c0
15c2badd522
hex74573fba0

31230000032 has 96 divisors (see below), whose sum is σ = 76699405440. Its totient is φ = 12160558080.

The previous prime is 31230000017. The next prime is 31230000041. The reversal of 31230000032 is 23000003213.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 31229999971 and 31230000016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7165598 + ... + 7169954.

It is an arithmetic number, because the mean of its divisors is an integer number (798952140).

Almost surely, 231230000032 is an apocalyptic number.

31230000032 is a gapful number since it is divisible by the number (32) 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 31230000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38349702720).

31230000032 is an abundant number, since it is smaller than the sum of its proper divisors (45469405408).

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

31230000032 is a wasteful number, since it uses less digits than its factorization.

31230000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 31230000032 its reverse (23000003213), we get a palindrome (54230003245).

The spelling of 31230000032 in words is "thirty-one billion, two hundred thirty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 2909 4357 5818 8714 11636 17428 20363 23272 30499 31999 34856 40726 46544 47927 60998 63998 69712 81452 93088 95854 121996 127996 139424 162904 191708 223993 243992 255992 325808 335489 383416 447986 487984 511984 651616 670978 766832 895972 975968 1023968 1341956 1533664 1791944 2683912 3583888 5367824 7167776 10735648 12674513 25349026 50698052 88721591 101396104 139419643 177443182 202792208 278839286 354886364 405584416 557678572 709772728 975937501 1115357144 1419545456 1951875002 2230714288 2839090912 3903750004 4461428576 7807500008 15615000016 31230000032