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10232112400 = 245243159351
BaseRepresentation
bin10011000011110000…
…11010010100010000
3222102002112011110221
421201320122110100
5131423410044100
64411153402424
7511363343326
oct114170322420
928362464427
1010232112400
114380840544
121b96869414
13c70b090a3
146d0d03d16
153ed45c01a
hex261e1a510

10232112400 has 60 divisors (see below), whose sum is σ = 24640101504. Its totient is φ = 4083280000.

The previous prime is 10232112383. The next prime is 10232112421. The reversal of 10232112400 is 421123201.

It is a super-2 number, since 2×102321124002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142725 + ... + 202075.

Almost surely, 210232112400 is an apocalyptic number.

10232112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320050752).

10232112400 is an abundant number, since it is smaller than the sum of its proper divisors (14407989104).

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

10232112400 is a wasteful number, since it uses less digits than its factorization.

10232112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59800 (or 59789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10232112400 its reverse (421123201), we get a palindrome (10653235601).

The spelling of 10232112400 in words is "ten billion, two hundred thirty-two million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 431 862 1724 2155 3448 4310 6896 8620 10775 17240 21550 34480 43100 59351 86200 118702 172400 237404 296755 474808 593510 949616 1187020 1483775 2374040 2967550 4748080 5935100 11870200 23740400 25580281 51160562 102321124 127901405 204642248 255802810 409284496 511605620 639507025 1023211240 1279014050 2046422480 2558028100 5116056200 10232112400