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13100103220 = 2251733786157
BaseRepresentation
bin11000011001101001…
…11011011000110100
31020210222011012021011
430030310323120310
5203312111300340
610003524402004
7642430016521
oct141464733064
936728135234
1013100103220
115612737496
122657246304
13130a050489
148c3b86148
1551a1270ea
hex30cd3b634

13100103220 has 24 divisors (see below), whose sum is σ = 27669242664. Its totient is φ = 5209750656.

The previous prime is 13100103199. The next prime is 13100103257. The reversal of 13100103220 is 2230100131.

13100103220 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 1209509284 + 11890593936 = 34778^2 + 109044^2 .

It is a super-3 number, since 3×131001032203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13100103220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1889619 + ... + 1896538.

It is an arithmetic number, because the mean of its divisors is an integer number (1152885111).

Almost surely, 213100103220 is an apocalyptic number.

13100103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100103220 is an abundant number, since it is smaller than the sum of its proper divisors (14569139444).

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

13100103220 is a wasteful number, since it uses less digits than its factorization.

13100103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786339 (or 3786337 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13100103220 its reverse (2230100131), we get a palindrome (15330203351).

The spelling of 13100103220 in words is "thirteen billion, one hundred million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 3786157 7572314 15144628 18930785 37861570 75723140 655005161 1310010322 2620020644 3275025805 6550051610 13100103220