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103131300024 = 233259149162937
BaseRepresentation
bin110000000001100011…
…0101100000010111000
3100212012101201212100200
41200003012230002320
53142203103100044
6115213341402200
710310455405044
oct1400306540270
9325171655320
10103131300024
113a812a26165
1217ba2569360
1399574763ac
144dc4c85024
152a390b7369
hex18031ac0b8

103131300024 has 96 divisors (see below), whose sum is σ = 285956190000. Its totient is φ = 33567422976.

The previous prime is 103131300023. The next prime is 103131300043. The reversal of 103131300024 is 420003131301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131300023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551484 + ... + 714420.

Almost surely, 2103131300024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142978095000).

103131300024 is an abundant number, since it is smaller than the sum of its proper divisors (182824889976).

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

103131300024 is a wasteful number, since it uses less digits than its factorization.

103131300024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163157 (or 163150 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103131300024 its reverse (420003131301), we get a palindrome (523134431325).

The spelling of 103131300024 in words is "one hundred three billion, one hundred thirty-one million, three hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 149 177 236 298 354 447 472 531 596 708 894 1062 1192 1341 1416 1788 2124 2682 3576 4248 5364 8791 10728 17582 26373 35164 52746 70328 79119 105492 158238 162937 210984 316476 325874 488811 632952 651748 977622 1303496 1466433 1955244 2932866 3910488 5865732 9613283 11731464 19226566 24277613 28839849 38453132 48555226 57679698 72832839 76906264 86519547 97110452 115359396 145665678 173039094 194220904 218498517 230718792 291331356 346078188 436997034 582662712 692156376 873994068 1432379167 1747988136 2864758334 4297137501 5729516668 8594275002 11459033336 12891412503 17188550004 25782825006 34377100008 51565650012 103131300024