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13120114201020 = 22325179407204041
BaseRepresentation
bin1011111011101100001110…
…1111110001000110111100
31201110021022022120011010100
42332323003233301012330
53204424443213413040
643523144112441100
72522616442433361
oct276730357610674
951407268504110
1013120114201020
1141a9233475822
12157a923849190
137422b5719048
143350345b8468
1517b43e699b30
hexbeec3bf11bc

13120114201020 has 72 divisors (see below), whose sum is σ = 40020013247760. Its totient is φ = 3479151317760.

The previous prime is 13120114200967. The next prime is 13120114201039. The reversal of 13120114201020 is 2010241102131.

13120114201020 is a `hidden beast` number, since 1 + 31 + 201 + 1 + 420 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13120114200984 and 13120114201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203569801 + ... + 203634240.

It is an arithmetic number, because the mean of its divisors is an integer number (555833517330).

Almost surely, 213120114201020 is an apocalyptic number.

13120114201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120114201020 is an abundant number, since it is smaller than the sum of its proper divisors (26899899046740).

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

13120114201020 is a wasteful number, since it uses less digits than its factorization.

13120114201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407204235 (or 407204230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13120114201020 its reverse (2010241102131), we get a palindrome (15130355303151).

The spelling of 13120114201020 in words is "thirteen trillion, one hundred twenty billion, one hundred fourteen million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 716 895 1074 1611 1790 2148 2685 3222 3580 5370 6444 8055 10740 16110 32220 407204041 814408082 1221612123 1628816164 2036020205 2443224246 3664836369 4072040410 4886448492 6108060615 7329672738 8144080820 12216121230 14659345476 18324181845 24432242460 36648363690 72889523339 73296727380 145779046678 218668570017 291558093356 364447616695 437337140034 656005710051 728895233390 874674280068 1093342850085 1312011420102 1457790466780 2186685700170 2624022840204 3280028550255 4373371400340 6560057100510 13120114201020