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103031111300 = 225213497315937
BaseRepresentation
bin101111111110100100…
…0011111111010000100
3100211221102012202021012
41133331020133322010
53142001431030200
6115155402141352
710305130665455
oct1377510377204
9324842182235
10103031111300
113a771415967
1217b74ab1858
13993c797a20
144db584512c
152a303c6a35
hex17fd21fe84

103031111300 has 72 divisors (see below), whose sum is σ = 240839309256. Its totient is φ = 38032220160.

The previous prime is 103031111291. The next prime is 103031111303. The reversal of 103031111300 is 3111130301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 28235425156 + 74795686144 = 168034^2 + 273488^2 .

It is not an unprimeable number, because it can be changed into a prime (103031111303) 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, 6456932 + ... + 6472868.

Almost surely, 2103031111300 is an apocalyptic number.

103031111300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103031111300 is an abundant number, since it is smaller than the sum of its proper divisors (137808197956).

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

103031111300 is a wasteful number, since it uses less digits than its factorization.

103031111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20937 (or 20930 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 103031111300 its reverse (3111130301), we get a palindrome (106142241601).

The spelling of 103031111300 in words is "one hundred three billion, thirty-one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 4973 9946 15937 19892 24865 31874 49730 63748 64649 79685 99460 124325 129298 159370 207181 248650 258596 318740 323245 398425 414362 497300 646490 796850 828724 1035905 1292980 1593700 1616225 2071810 3232450 4143620 5179525 6464900 10359050 20718100 79254701 158509402 317018804 396273505 792547010 1030311113 1585094020 1981367525 2060622226 3962735050 4121244452 5151555565 7925470100 10303111130 20606222260 25757777825 51515555650 103031111300