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10243212032 = 28297119433
BaseRepresentation
bin10011000101000101…
…10000001100000000
3222102212102002022102
421202202300030000
5131434230241112
64412231325532
7511556602634
oct114242601400
928385362272
1010243212032
114387031899
121b9a5208a8
13c731c4311
146d2592dc4
153ee400bc2
hex2628b0300

10243212032 has 72 divisors (see below), whose sum is σ = 21450471840. Its totient is φ = 4875100160.

The previous prime is 10243212013. The next prime is 10243212071. The reversal of 10243212032 is 23021234201.

It is a junction number, because it is equal to n+sod(n) for n = 10243211995 and 10243212013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517388 + ... + 536820.

It is an arithmetic number, because the mean of its divisors is an integer number (297923220).

Almost surely, 210243212032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725235920).

10243212032 is an abundant number, since it is smaller than the sum of its proper divisors (11207259808).

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

10243212032 is an equidigital number, since it uses as much as digits as its factorization.

10243212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19549 (or 19535 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10243212032 its reverse (23021234201), we get a palindrome (33264446233).

The spelling of 10243212032 in words is "ten billion, two hundred forty-three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 71 116 128 142 232 256 284 464 568 928 1136 1856 2059 2272 3712 4118 4544 7424 8236 9088 16472 18176 19433 32944 38866 65888 77732 131776 155464 263552 310928 527104 563557 621856 1127114 1243712 1379743 2254228 2487424 2759486 4508456 4974848 5518972 9016912 11037944 18033824 22075888 36067648 40012547 44151776 72135296 80025094 88303552 144270592 160050188 176607104 320100376 353214208 640200752 1280401504 2560803008 5121606016 10243212032