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10032122232 = 23321112666821
BaseRepresentation
bin10010101011111011…
…00000100101111000
3221220011012121112200
421111331200211320
5131021210402412
64335251110200
7503414426526
oct112575404570
927804177480
1010032122232
114288964a10
121b3b8a2360
13c3b556402
146b2525316
153dab059dc
hex255f60978

10032122232 has 48 divisors (see below), whose sum is σ = 29640363480. Its totient is φ = 3040036800.

The previous prime is 10032122209. The next prime is 10032122251. The reversal of 10032122232 is 23222123001.

10032122232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6332619 + ... + 6334202.

Almost surely, 210032122232 is an apocalyptic number.

10032122232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032122232 is an abundant number, since it is smaller than the sum of its proper divisors (19608241248).

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

10032122232 is a wasteful number, since it uses less digits than its factorization.

10032122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666844 (or 12666837 counting only the distinct ones).

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

Adding to 10032122232 its reverse (23222123001), we get a palindrome (33254245233).

The spelling of 10032122232 in words is "ten billion, thirty-two million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 12666821 25333642 38000463 50667284 76000926 101334568 114001389 139335031 152001852 228002778 278670062 304003704 418005093 456005556 557340124 836010186 912011112 1114680248 1254015279 1672020372 2508030558 3344040744 5016061116 10032122232