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103412504000 = 2653131079293
BaseRepresentation
bin110000001001111011…
…1011001010111000000
3100212220222212111200202
41200103313121113000
53143242100112000
6115301304504332
710320441531521
oct1402367312700
9325828774622
10103412504000
113a947731943
121806077b0a8
1399a07c2a90
145010364848
152a53b11dd5
hex1813dd95c0

103412504000 has 224 divisors, whose sum is σ = 278408684736. Its totient is φ = 37822156800.

The previous prime is 103412503967. The next prime is 103412504029. The reversal of 103412504000 is 405214301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11123354 + ... + 11132646.

It is an arithmetic number, because the mean of its divisors is an integer number (1242895914).

Almost surely, 2103412504000 is an apocalyptic number.

103412504000 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 103412504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139204342368).

103412504000 is an abundant number, since it is smaller than the sum of its proper divisors (174996180736).

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

103412504000 is a wasteful number, since it uses less digits than its factorization.

103412504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 103412504000 its reverse (405214301), we get a palindrome (103817718301).

The spelling of 103412504000 in words is "one hundred three billion, four hundred twelve million, five hundred four thousand".