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10032210320 = 2451111400239
BaseRepresentation
bin10010101011111011…
…10110000110010000
3221220011101002101012
421111331312012100
5131021221212240
64335253030052
7503415244406
oct112575660620
927804332335
1010032210320
114288a15110
121b3b925328
13c3b587532
146b2549476
153dab21b65
hex255f76190

10032210320 has 40 divisors (see below), whose sum is σ = 25445335680. Its totient is φ = 3648076160.

The previous prime is 10032210299. The next prime is 10032210427. The reversal of 10032210320 is 2301223001.

It is a happy number.

10032210320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10032210295 and 10032210304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5699240 + ... + 5700999.

It is an arithmetic number, because the mean of its divisors is an integer number (636133392).

Almost surely, 210032210320 is an apocalyptic number.

10032210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032210320 is an abundant number, since it is smaller than the sum of its proper divisors (15413125360).

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

10032210320 is a wasteful number, since it uses less digits than its factorization.

10032210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400263 (or 11400257 counting only the distinct ones).

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

Adding to 10032210320 its reverse (2301223001), we get a palindrome (12333433321).

The spelling of 10032210320 in words is "ten billion, thirty-two million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11400239 22800478 45600956 57001195 91201912 114002390 125402629 182403824 228004780 250805258 456009560 501610516 627013145 912019120 1003221032 1254026290 2006442064 2508052580 5016105160 10032210320