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10005133032 = 2332236041747
BaseRepresentation
bin10010101000101101…
…00011011011101000
3221211021102102022200
421110112203123220
5130442303224112
64332444420200
7502636141026
oct112426433350
927737372280
1010005133032
114274700594
121b32847660
13c35a9697b
146acadb716
153d8573cdc
hex2545a36e8

10005133032 has 48 divisors (see below), whose sum is σ = 28275380640. Its totient is φ = 3190041888.

The previous prime is 10005133013. The next prime is 10005133043. The reversal of 10005133032 is 23033150001.

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 = 10005132996 and 10005133014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3019218 + ... + 3022529.

It is an arithmetic number, because the mean of its divisors is an integer number (589070430).

Almost surely, 210005133032 is an apocalyptic number.

10005133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10005133032 is an abundant number, since it is smaller than the sum of its proper divisors (18270247608).

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

10005133032 is a wasteful number, since it uses less digits than its factorization.

10005133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041782 (or 6041775 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 10005133032 its reverse (23033150001), we get a palindrome (33038283033).

The spelling of 10005133032 in words is "ten billion, five million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 6041747 12083494 18125241 24166988 36250482 48333976 54375723 72500964 108751446 138960181 145001928 217502892 277920362 416880543 435005784 555840724 833761086 1111681448 1250641629 1667522172 2501283258 3335044344 5002566516 10005133032