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13100042212420 = 2251150015695621
BaseRepresentation
bin1011111010100001011101…
…0111001101010001000100
31201101100111110120111002011
42332220113113031101010
53204112341301244140
643510024252224004
72521306154361232
oct276502727152104
951340443514064
1013100042212420
1141a0773347699
121576a6176b004
13740437157707
1433408c913952
1517ab6745dcea
hexbea175cd444

13100042212420 has 24 divisors (see below), whose sum is σ = 27510332692248. Its totient is φ = 5239970400000.

The previous prime is 13100042212403. The next prime is 13100042212427. The reversal of 13100042212420 is 2421224000131.

13100042212420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3931464115264 + 9168578097156 = 1982792^2 + 3027966^2 .

It is a super-2 number, since 2×131000422124202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100042212391 and 13100042212400.

It is not an unprimeable number, because it can be changed into a prime (13100042212427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547791 + ... + 5147830.

It is an arithmetic number, because the mean of its divisors is an integer number (1146263862177).

Almost surely, 213100042212420 is an apocalyptic number.

13100042212420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100042212420 is an abundant number, since it is smaller than the sum of its proper divisors (14410290479828).

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

13100042212420 is a wasteful number, since it uses less digits than its factorization.

13100042212420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810631 (or 5810629 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13100042212420 its reverse (2421224000131), we get a palindrome (15521266212551).

The spelling of 13100042212420 in words is "thirteen trillion, one hundred billion, forty-two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 115001 230002 460004 575005 1150010 2300020 5695621 11391242 22782484 28478105 56956210 113912420 655002110621 1310004221242 2620008442484 3275010553105 6550021106210 13100042212420