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103042165020 = 22356129579521
BaseRepresentation
bin101111111110111001…
…0101010100100011100
3100211222012000100010020
41133331302222210130
53142012243240040
6115200435112140
710305323644164
oct1377562524434
9324865010106
10103042165020
113a777685773
1217b78742650
139941b680a2
144db70c15a4
152a3135bcd0
hex17fdcaa91c

103042165020 has 96 divisors (see below), whose sum is σ = 293377847616. Its totient is φ = 27015475200.

The previous prime is 103042165001. The next prime is 103042165027. The reversal of 103042165020 is 20561240301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103042165027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10817860 + ... + 10827380.

It is an arithmetic number, because the mean of its divisors is an integer number (3056019246).

Almost surely, 2103042165020 is an apocalyptic number.

103042165020 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 103042165020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146688923808).

103042165020 is an abundant number, since it is smaller than the sum of its proper divisors (190335682596).

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

103042165020 is a wasteful number, since it uses less digits than its factorization.

103042165020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12551 (or 12549 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 103042165020 in words is "one hundred three billion, forty-two million, one hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 2957 3660 5914 8871 9521 11828 14785 17742 19042 28563 29570 35484 38084 44355 47605 57126 59140 88710 95210 114252 142815 177420 180377 190420 285630 360754 541131 571260 580781 721508 901885 1082262 1161562 1742343 1803770 2164524 2323124 2705655 2903905 3484686 3607540 5411310 5807810 6969372 8711715 10822620 11615620 17423430 28153597 34846860 56307194 84460791 112614388 140767985 168921582 281535970 337843164 422303955 563071940 844607910 1689215820 1717369417 3434738834 5152108251 6869477668 8586847085 10304216502 17173694170 20608433004 25760541255 34347388340 51521082510 103042165020