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103312231330100 = 22521379470947177
BaseRepresentation
bin10111011111011001000000…
…110110010111000100110100
3111112210112221000220210001212
4113133121000312113010310
5102020131422210030400
61003420552303140552
730522030255001352
oct2737310066270464
9445715830823055
10103312231330100
112aa11520272521
12b7067292a4758
1345853bc842a80
141b724a54847d2
15be25c53da335
hex5df640d97134

103312231330100 has 36 divisors (see below), whose sum is σ = 241432737526764. Its totient is φ = 38146054644480.

The previous prime is 103312231330079. The next prime is 103312231330103. The reversal of 103312231330100 is 1033132213301.

It can be written as a sum of positive squares in 6 ways, for example, as 3847074268816 + 99465157061284 = 1961396^2 + 9973222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312231330103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39735472289 + ... + 39735474888.

It is an arithmetic number, because the mean of its divisors is an integer number (6706464931299).

Almost surely, 2103312231330100 is an apocalyptic number.

103312231330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312231330100 is an abundant number, since it is smaller than the sum of its proper divisors (138120506196664).

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

103312231330100 is a wasteful number, since it uses less digits than its factorization.

103312231330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79470947204 (or 79470947197 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103312231330100 its reverse (1033132213301), we get a palindrome (104345363543401).

The spelling of 103312231330100 in words is "one hundred three trillion, three hundred twelve billion, two hundred thirty-one million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 79470947177 158941894354 317883788708 397354735885 794709471770 1033122313301 1589418943540 1986773679425 2066244626602 3973547358850 4132489253204 5165611566505 7947094717700 10331223133010 20662446266020 25828057832525 51656115665050 103312231330100