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10232122000 = 24535116061
BaseRepresentation
bin10011000011110000…
…11100101010010000
3222102002112122122111
421201320130222100
5131423410401000
64411153515104
7511363413322
oct114170345220
928362478574
1010232122000
114380847781
121b96872a94
13c70b10579
146d0d07612
153ed45ecba
hex261e1ca90

10232122000 has 40 divisors (see below), whose sum is σ = 24741275832. Its totient is φ = 4092848000.

The previous prime is 10232121983. The next prime is 10232122037. The reversal of 10232122000 is 22123201.

It can be written as a sum of positive squares in 4 ways, for example, as 895924624 + 9336197376 = 29932^2 + 96624^2 .

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

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, 2556031 + ... + 2560030.

Almost surely, 210232122000 is an apocalyptic number.

10232122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232122000 is an abundant number, since it is smaller than the sum of its proper divisors (14509153832).

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

10232122000 is an equidigital number, since it uses as much as digits as its factorization.

10232122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116084 (or 5116068 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10232122000 its reverse (22123201), we get a palindrome (10254245201).

The spelling of 10232122000 in words is "ten billion, two hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5116061 10232122 20464244 25580305 40928488 51160610 81856976 102321220 127901525 204642440 255803050 409284880 511606100 639507625 1023212200 1279015250 2046424400 2558030500 5116061000 10232122000