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102540404300 = 225217325723063
BaseRepresentation
bin101111101111111100…
…0100110011001001100
3100210200012212020210212
41133133320212121030
53140000320414200
6115034552421552
710260022025015
oct1373770463114
9323605766725
10102540404300
113a53a426494
1217a586a78b8
139891c17759
144d6a5cc00c
152a02297035
hex17dfe2664c

102540404300 has 72 divisors (see below), whose sum is σ = 224679432096. Its totient is φ = 40618639360.

The previous prime is 102540404273. The next prime is 102540404303. The reversal of 102540404300 is 3404045201.

It is not an unprimeable number, because it can be changed into a prime (102540404303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4434569 + ... + 4457631.

It is an arithmetic number, because the mean of its divisors is an integer number (3120547668).

Almost surely, 2102540404300 is an apocalyptic number.

102540404300 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 102540404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112339716048).

102540404300 is an abundant number, since it is smaller than the sum of its proper divisors (122139027796).

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

102540404300 is a wasteful number, since it uses less digits than its factorization.

102540404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23507 (or 23500 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 102540404300 its reverse (3404045201), we get a palindrome (105944449501).

The spelling of 102540404300 in words is "one hundred two billion, five hundred forty million, four hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 257 346 514 692 865 1028 1285 1730 2570 3460 4325 5140 6425 8650 12850 17300 23063 25700 44461 46126 88922 92252 115315 177844 222305 230630 444610 461260 576575 889220 1111525 1153150 2223050 2306300 3989899 4446100 5927191 7979798 11854382 15959596 19949495 23708764 29635955 39898990 59271910 79797980 99747475 118543820 148179775 199494950 296359550 398989900 592719100 1025404043 2050808086 4101616172 5127020215 10254040430 20508080860 25635101075 51270202150 102540404300