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10032001232 = 2411712812857
BaseRepresentation
bin10010101011111010…
…00011000011010000
3221220010222110120012
421111331003003100
5131021143014412
64335244334052
7503413414001
oct112575030320
927803873505
1010032001232
114288892010
121b3b844328
13c3b513306
146b24d31a8
153daacec22
hex255f430d0

10032001232 has 80 divisors (see below), whose sum is σ = 21586725504. Its totient is φ = 4478208000.

The previous prime is 10032001211. The next prime is 10032001267. The reversal of 10032001232 is 23210023001.

It is a happy number.

It is a congruent number.

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, 3509948 + ... + 3512804.

Almost surely, 210032001232 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 10032001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793362752).

10032001232 is an abundant number, since it is smaller than the sum of its proper divisors (11554724272).

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

10032001232 is a wasteful number, since it uses less digits than its factorization.

10032001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10032001232 its reverse (23210023001), we get a palindrome (33242024233).

The spelling of 10032001232 in words is "ten billion, thirty-two million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 281 284 562 568 781 1124 1136 1562 2248 2857 3091 3124 4496 5714 6182 6248 11428 12364 12496 19951 22856 24728 31427 39902 45712 49456 62854 79804 125708 159608 202847 219461 251416 319216 405694 438922 502832 802817 811388 877844 1605634 1622776 1755688 2231317 3211268 3245552 3511376 4462634 6422536 8830987 8925268 12845072 17661974 17850536 35323948 35701072 57000007 70647896 114000014 141295792 228000028 456000056 627000077 912000112 1254000154 2508000308 5016000616 10032001232