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20124401304 = 233717192131149
BaseRepresentation
bin10010101111100000…
…011111111010011000
31220221111121111202110
4102233200133322120
5312203321320204
613124531432320
71311462405630
oct225740377230
956844544673
1020124401304
118597777617
123a977556a0
131b893b2c87
14d8ca296c0
157cbb40889
hex4af81fe98

20124401304 has 384 divisors, whose sum is σ = 65178432000. Its totient is φ = 5053501440.

The previous prime is 20124401281. The next prime is 20124401329. The reversal of 20124401304 is 40310442102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135063022 + ... + 135063170.

It is an arithmetic number, because the mean of its divisors is an integer number (169735500).

Almost surely, 220124401304 is an apocalyptic number.

20124401304 is a gapful number since it is divisible by the number (24) 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 20124401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32589216000).

20124401304 is an abundant number, since it is smaller than the sum of its proper divisors (45054030696).

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

20124401304 is a wasteful number, since it uses less digits than its factorization.

20124401304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20124401304 its reverse (40310442102), we get a palindrome (60434843406).

The spelling of 20124401304 in words is "twenty billion, one hundred twenty-four million, four hundred one thousand, three hundred four".