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103024024400 = 24521123414551
BaseRepresentation
bin101111111110010110…
…1011101101101010000
3100211220220212200212102
41133330231131231100
53141443122240100
6115154550215532
710305013521113
oct1377455355520
9324826780772
10103024024400
113a768415420
1217b726545a8
13993b1860ab
144db491c57a
152a2e976cd5
hex17fcb5db50

103024024400 has 60 divisors (see below), whose sum is σ = 270016613664. Its totient is φ = 37463280000.

The previous prime is 103024024391. The next prime is 103024024417. The reversal of 103024024400 is 4420420301.

It is a super-2 number, since 2×1030240244002 (a number of 23 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11702876 + ... + 11711675.

Almost surely, 2103024024400 is an apocalyptic number.

103024024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103024024400 is an abundant number, since it is smaller than the sum of its proper divisors (166992589264).

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

103024024400 is a wasteful number, since it uses less digits than its factorization.

103024024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23414580 (or 23414569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 103024024400 its reverse (4420420301), we get a palindrome (107444444701).

The spelling of 103024024400 in words is "one hundred three billion, twenty-four million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 23414551 46829102 93658204 117072755 187316408 234145510 257560061 374632816 468291020 515120122 585363775 936582040 1030240244 1170727550 1287800305 1873164080 2060480488 2341455100 2575600610 4120960976 4682910200 5151201220 6439001525 9365820400 10302402440 12878003050 20604804880 25756006100 51512012200 103024024400