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10023313032 = 233355783311
BaseRepresentation
bin10010101010110111…
…11001111010001000
3221212112122001121000
421111123321322020
5131011432004112
64334334215000
7503246516655
oct112533717210
927775561530
1010023313032
114283998487
121b38954460
13c39790875
146b12b0c2c
153d9e657dc
hex2556f9e88

10023313032 has 64 divisors (see below), whose sum is σ = 27892857600. Its totient is φ = 3335065920.

The previous prime is 10023313021. The next prime is 10023313051. The reversal of 10023313032 is 23031332001.

It is a super-2 number, since 2×100233130322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10023312996 and 10023313014.

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, 78657 + ... + 161967.

It is an arithmetic number, because the mean of its divisors is an integer number (435825900).

Almost surely, 210023313032 is an apocalyptic number.

10023313032 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 10023313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946428800).

10023313032 is an abundant number, since it is smaller than the sum of its proper divisors (17869544568).

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

10023313032 is a wasteful number, since it uses less digits than its factorization.

10023313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83883 (or 83873 counting only the distinct ones).

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

Adding to 10023313032 its reverse (23031332001), we get a palindrome (33054645033).

The spelling of 10023313032 in words is "ten billion, twenty-three million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 557 1114 1671 2228 3342 4456 5013 6684 10026 13368 15039 20052 30078 40104 60156 83311 120312 166622 249933 333244 499866 666488 749799 999732 1499598 1999464 2249397 2999196 4498794 5998392 8997588 17995176 46404227 92808454 139212681 185616908 278425362 371233816 417638043 556850724 835276086 1113701448 1252914129 1670552172 2505828258 3341104344 5011656516 10023313032