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103240010123300 = 22529372546943261
BaseRepresentation
bin10111011110010101110000…
…001000010100100000100100
3111112112122111210222100021202
4113132111300020110200210
5102012441020042421200
61003323450024102032
730513562456606211
oct2736256010244044
9445478453870252
10103240010123300
112a99392a286956
12b6b4732604918
13457b65018028b
141b6cbb3870b08
15be0799cbe1d5
hex5de570214824

103240010123300 has 72 divisors (see below), whose sum is σ = 224283905614440. Its totient is φ = 41249358259200.

The previous prime is 103240010123297. The next prime is 103240010123333. The reversal of 103240010123300 is 3321010042301.

It can be written as a sum of positive squares in 12 ways, for example, as 36371055228964 + 66868954894336 = 6030842^2 + 8177344^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386423670 + ... + 2386466930.

It is an arithmetic number, because the mean of its divisors is an integer number (3115054244645).

Almost surely, 2103240010123300 is an apocalyptic number.

103240010123300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103240010123300 is an abundant number, since it is smaller than the sum of its proper divisors (121043895491140).

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

103240010123300 is a wasteful number, since it uses less digits than its factorization.

103240010123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69681 (or 69674 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103240010123300 its reverse (3321010042301), we get a palindrome (106561020165601).

The spelling of 103240010123300 in words is "one hundred three trillion, two hundred forty billion, ten million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 937 1874 3748 4685 9370 18740 23425 25469 43261 46850 50938 86522 93700 101876 127345 173044 216305 254690 432610 509380 636725 865220 1081525 1273450 2163050 2546900 4326100 23864453 40535557 47728906 81071114 95457812 119322265 162142228 202677785 238644530 405355570 477289060 596611325 810711140 1013388925 1101814409 1193222650 2026777850 2203628818 2386445300 4053555700 4407257636 5509072045 11018144090 22036288180 27545360225 55090720450 110181440900 1032400101233 2064800202466 4129600404932 5162000506165 10324001012330 20648002024660 25810002530825 51620005061650 103240010123300