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103131213021 = 3226942598601
BaseRepresentation
bin110000000001100011…
…0010110110011011101
3100212012101120110000100
41200003012112303131
53142203042304041
6115213335451313
710310454563304
oct1400306266335
9325171513010
10103131213021
113a812976861
1217ba2526b39
139957445905
144dc4c6143b
152a3909b6b6
hex1803196cdd

103131213021 has 12 divisors (see below), whose sum is σ = 149521093020. Its totient is φ = 68498548800.

The previous prime is 103131212983. The next prime is 103131213023. The reversal of 103131213021 is 120312131301.

It can be written as a sum of positive squares in 2 ways, for example, as 32860625625 + 70270587396 = 181275^2 + 265086^2 .

It is not a de Polignac number, because 103131213021 - 231 = 100983729373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103131212985 and 103131213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131213023) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21296880 + ... + 21301721.

It is an arithmetic number, because the mean of its divisors is an integer number (12460091085).

Almost surely, 2103131213021 is an apocalyptic number.

It is an amenable number.

103131213021 is a deficient number, since it is larger than the sum of its proper divisors (46389879999).

103131213021 is a wasteful number, since it uses less digits than its factorization.

103131213021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42598876 (or 42598873 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103131213021 its reverse (120312131301), we get a palindrome (223443344322).

The spelling of 103131213021 in words is "one hundred three billion, one hundred thirty-one million, two hundred thirteen thousand, twenty-one".

Divisors: 1 3 9 269 807 2421 42598601 127795803 383387409 11459023669 34377071007 103131213021