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13103001210020 = 22517121973159649
BaseRepresentation
bin1011111010101100011110…
…1110111000110010100100
31201101122010200110010200212
42332223013232320302210
53204134421302210040
643511234033554552
72521442404422341
oct276530756706244
951348120403625
1013103001210020
1141a1a51652357
121577548715a58
137407b91b4077
1433428d8c57c8
1517ac8c103d65
hexbeac7bb8ca4

13103001210020 has 48 divisors (see below), whose sum is σ = 29137306489200. Its totient is φ = 4932488577024.

The previous prime is 13103001210017. The next prime is 13103001210023. The reversal of 13103001210020 is 2001210030131.

It is an interprime number because it is at equal distance from previous prime (13103001210017) and next prime (13103001210023).

It can be written as a sum of positive squares in 8 ways, for example, as 172303028836 + 12930698181184 = 415094^2 + 3595928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13103001209977 and 13103001210004.

It is not an unprimeable number, because it can be changed into a prime (13103001210023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2567156 + ... + 5726804.

It is an arithmetic number, because the mean of its divisors is an integer number (607027218525).

Almost surely, 213103001210020 is an apocalyptic number.

13103001210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13103001210020 is an abundant number, since it is smaller than the sum of its proper divisors (16034305279180).

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

13103001210020 is a wasteful number, since it uses less digits than its factorization.

13103001210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171872 (or 3171870 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13103001210020 its reverse (2001210030131), we get a palindrome (15104211240151).

The spelling of 13103001210020 in words is "thirteen trillion, one hundred three billion, one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 12197 24394 48788 60985 121970 207349 243940 414698 829396 1036745 2073490 3159649 4146980 6319298 12638596 15798245 31596490 53714033 63192980 107428066 214856132 268570165 537140330 1074280660 38538238853 77076477706 154152955412 192691194265 385382388530 655150060501 770764777060 1310300121002 2620600242004 3275750302505 6551500605010 13103001210020