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10003241232 = 2433223103837
BaseRepresentation
bin10010101000011110…
…10101100100010000
3221211010212022021000
421110033111210100
5130441312204412
64332340102000
7502614101415
oct112417254420
927733768230
1010003241232
114273629216
121b32094900
13c3558386a
146ac76810c
153d82ed4dc
hex2543d5910

10003241232 has 80 divisors (see below), whose sum is σ = 28842042880. Its totient is φ = 3319429248.

The previous prime is 10003241207. The next prime is 10003241243. The reversal of 10003241232 is 23214230001.

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

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, 44418 + ... + 148254.

It is an arithmetic number, because the mean of its divisors is an integer number (360525536).

Almost surely, 210003241232 is an apocalyptic number.

10003241232 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 10003241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421021440).

10003241232 is an abundant number, since it is smaller than the sum of its proper divisors (18838801648).

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

10003241232 is a wasteful number, since it uses less digits than its factorization.

10003241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104077 (or 104065 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10003241232 its reverse (23214230001), we get a palindrome (33217471233).

The spelling of 10003241232 in words is "ten billion, three million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 223 432 446 669 892 1338 1784 2007 2676 3568 4014 5352 6021 8028 10704 12042 16056 24084 32112 48168 96336 103837 207674 311511 415348 623022 830696 934533 1246044 1661392 1869066 2492088 2803599 3738132 4984176 5607198 7476264 11214396 14952528 22428792 23155651 44857584 46311302 69466953 92622604 138933906 185245208 208400859 277867812 370490416 416801718 555735624 625202577 833603436 1111471248 1250405154 1667206872 2500810308 3334413744 5001620616 10003241232