Search a number
-
+
103410002242140 = 2235113173641108013
BaseRepresentation
bin10111100000110100000100…
…011100110010101001011100
3111120010220021212010201111020
4113200310010130302221130
5102023232141033222030
61003533522121124140
730532061154021216
oct2740640434625134
9446126255121436
10103410002242140
112aa49a32410870
12b721674629650
1345916a15a8049
141b770dc4555b6
15be4de8aae510
hex5e0d04732a5c

103410002242140 has 384 divisors, whose sum is σ = 331045206073344. Its totient is φ = 23890526208000.

The previous prime is 103410002242097. The next prime is 103410002242223. The reversal of 103410002242140 is 41242200014301.

It is a self number, because there is not a number n which added to its sum of digits gives 103410002242140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 957330774 + ... + 957438786.

It is an arithmetic number, because the mean of its divisors is an integer number (862096890816).

Almost surely, 2103410002242140 is an apocalyptic number.

103410002242140 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 103410002242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165522603036672).

103410002242140 is an abundant number, since it is smaller than the sum of its proper divisors (227635203831204).

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

103410002242140 is a wasteful number, since it uses less digits than its factorization.

103410002242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108781 (or 108779 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 103410002242140 its reverse (41242200014301), we get a palindrome (144652202256441).

The spelling of 103410002242140 in words is "one hundred three trillion, four hundred ten billion, two million, two hundred forty-two thousand, one hundred forty".