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103005024024 = 2337977627559
BaseRepresentation
bin101111111101110010…
…0111110111100011000
3100211212121010101020210
41133323210332330120
53141423241232044
6115153031051120
710304363154330
oct1377344767430
9324777111223
10103005024024
113a758718131
1217b68210aa0
139937262976
144db21b40c0
152a2ce721b9
hex17fb93ef18

103005024024 has 64 divisors (see below), whose sum is σ = 294601766400. Its totient is φ = 29399837184.

The previous prime is 103005023941. The next prime is 103005024029. The reversal of 103005024024 is 420420500301.

It is a super-2 number, since 2×1030050240242 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103005024029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149644 + ... + 477915.

It is an arithmetic number, because the mean of its divisors is an integer number (4603152600).

Almost surely, 2103005024024 is an apocalyptic number.

103005024024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103005024024 is an abundant number, since it is smaller than the sum of its proper divisors (191596742376).

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

103005024024 is a wasteful number, since it uses less digits than its factorization.

103005024024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628552 (or 628548 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 103005024024 its reverse (420420500301), we get a palindrome (523425524325).

The spelling of 103005024024 in words is "one hundred three billion, five million, twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 977 1954 2931 3908 5862 6839 7816 11724 13678 20517 23448 27356 41034 54712 82068 164136 627559 1255118 1882677 2510236 3765354 4392913 5020472 7530708 8785826 13178739 15061416 17571652 26357478 35143304 52714956 105429912 613125143 1226250286 1839375429 2452500572 3678750858 4291876001 4905001144 7357501716 8583752002 12875628003 14715003432 17167504004 25751256006 34335008008 51502512012 103005024024