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10232013200 = 245225580033
BaseRepresentation
bin10011000011110000…
…00010000110010000
3222102002100010101212
421201320002012100
5131423343410300
64411151315252
7511362451163
oct114170020620
928362303355
1010232013200
114380782a62
121b9681bb28
13c70aa2ba6
146d0cb9ada
153ed43c935
hex261e02190

10232013200 has 30 divisors (see below), whose sum is σ = 24582412674. Its totient is φ = 4092805120.

The previous prime is 10232013179. The next prime is 10232013221. The reversal of 10232013200 is 231023201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10232013179) and next prime (10232013221).

It can be written as a sum of positive squares in 3 ways, for example, as 419922064 + 9812091136 = 20492^2 + 99056^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12789617 + ... + 12790416.

Almost surely, 210232013200 is an apocalyptic number.

10232013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232013200 is an abundant number, since it is smaller than the sum of its proper divisors (14350399474).

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

10232013200 is a wasteful number, since it uses less digits than its factorization.

10232013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25580051 (or 25580040 counting only the distinct ones).

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

Adding to 10232013200 its reverse (231023201), we get a palindrome (10463036401).

The spelling of 10232013200 in words is "ten billion, two hundred thirty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25580033 51160066 102320132 127900165 204640264 255800330 409280528 511600660 639500825 1023201320 1279001650 2046402640 2558003300 5116006600 10232013200