Search a number
-
+
1104136261500 = 223531804140801
BaseRepresentation
bin10000000100010011101…
…001100100111101111100
310220112222011011121211010
4100010103221210331330
5121042232340332000
62203122211555220
7142525345240656
oct20042351447574
93815864147733
101104136261500
11396297153528
12159ba4bbbb10
13801729c849c
143b62496b6d6
151dac3b8ed50
hex10113a64f7c

1104136261500 has 96 divisors (see below), whose sum is σ = 3215501819712. Its totient is φ = 294412800000.

The previous prime is 1104136261477. The next prime is 1104136261541. The reversal of 1104136261500 is 51626314011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27041100 + ... + 27081900.

It is an arithmetic number, because the mean of its divisors is an integer number (33494810622).

Almost surely, 21104136261500 is an apocalyptic number.

1104136261500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104136261500 is an abundant number, since it is smaller than the sum of its proper divisors (2111365558212).

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

1104136261500 is a wasteful number, since it uses less digits than its factorization.

1104136261500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58864 (or 58852 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 1104136261500 in words is "one trillion, one hundred four billion, one hundred thirty-six million, two hundred sixty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 18041 36082 40801 54123 72164 81602 90205 108246 122403 163204 180410 204005 216492 244806 270615 360820 408010 451025 489612 541230 612015 816020 902050 1020025 1082460 1224030 1353075 1804100 2040050 2255125 2448060 2706150 3060075 4080100 4510250 5100125 5412300 6120150 6765375 9020500 10200250 12240300 13530750 15300375 20400500 27061500 30600750 61201500 736090841 1472181682 2208272523 2944363364 3680454205 4416545046 7360908410 8833090092 11041362615 14721816820 18402271025 22082725230 36804542050 44165450460 55206813075 73609084100 92011355125 110413626150 184022710250 220827252300 276034065375 368045420500 552068130750 1104136261500