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100341001020 = 223513757169937
BaseRepresentation
bin101110101110011001…
…0100010101100111100
3100120222221021222201010
41131130302202230330
53120444244013040
6114032423515220
710151354302401
oct1353462425474
9316887258633
10100341001020
1139610974227
1217543bb8b10
1396013648b0
144bdc4682a8
152924146e80
hex175cca2b3c

100341001020 has 96 divisors (see below), whose sum is σ = 302968185408. Its totient is φ = 24666550272.

The previous prime is 100341001001. The next prime is 100341001031. The reversal of 100341001020 is 20100143001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100341000987 and 100341001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505492 + ... + 675428.

It is an arithmetic number, because the mean of its divisors is an integer number (3155918598).

Almost surely, 2100341001020 is an apocalyptic number.

100341001020 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 100341001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151484092704).

100341001020 is an abundant number, since it is smaller than the sum of its proper divisors (202627184388).

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

100341001020 is a wasteful number, since it uses less digits than its factorization.

100341001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170719 (or 170717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100341001020 its reverse (20100143001), we get a palindrome (120441144021).

The spelling of 100341001020 in words is "one hundred billion, three hundred forty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 757 780 1514 2271 3028 3785 4542 7570 9084 9841 11355 15140 19682 22710 29523 39364 45420 49205 59046 98410 118092 147615 169937 196820 295230 339874 509811 590460 679748 849685 1019622 1699370 2039244 2209181 2549055 3398740 4418362 5098110 6627543 8836724 10196220 11045905 13255086 22091810 26510172 33137715 44183620 66275430 128642309 132550860 257284618 385926927 514569236 643211545 771853854 1286423090 1543707708 1672350017 1929634635 2572846180 3344700034 3859269270 5017050051 6689400068 7718538540 8361750085 10034100102 16723500170 20068200204 25085250255 33447000340 50170500510 100341001020