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230103012400 = 24522325011197
BaseRepresentation
bin1101011001001100110…
…1010101010000110000
3210222221021102011022121
43112103031111100300
512232222332344100
6253412522044024
722424111222362
oct3262315252060
9728837364277
10230103012400
118964a173a48
1238719049614
1318910b40c51
14b1cc0a2d32
155ebb14a51a
hex3593355430

230103012400 has 60 divisors (see below), whose sum is σ = 576858270672. Its totient is φ = 88039409920.

The previous prime is 230103012383. The next prime is 230103012407. The reversal of 230103012400 is 4210301032.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (230103012407) by changing a digit.

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, 12496399 + ... + 12514798.

Almost surely, 2230103012400 is an apocalyptic number.

230103012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230103012400 is an abundant number, since it is smaller than the sum of its proper divisors (346755258272).

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

230103012400 is a wasteful number, since it uses less digits than its factorization.

230103012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25011238 (or 25011227 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 230103012400 its reverse (4210301032), we get a palindrome (234313313432).

The spelling of 230103012400 in words is "two hundred thirty billion, one hundred three million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 25011197 50022394 100044788 125055985 200089576 250111970 400179152 500223940 575257531 625279925 1000447880 1150515062 1250559850 2000895760 2301030124 2501119700 2876287655 4602060248 5002239400 5752575310 9204120496 10004478800 11505150620 14381438275 23010301240 28762876550 46020602480 57525753100 115051506200 230103012400