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103131132219 = 321011375091627
BaseRepresentation
bin110000000001100011…
…0000011000100111011
3100212012101102100011200
41200003012003010323
53142203032212334
6115213334025243
710310454105603
oct1400306030473
9325171370150
10103131132219
113a812921085
1217ba24a8223
139957417bbb
144dc4c3dc03
152a39082799
hex180318313b

103131132219 has 48 divisors (see below), whose sum is σ = 151931276640. Its totient is φ = 67402252800.

The previous prime is 103131132211. The next prime is 103131132259. The reversal of 103131132219 is 912231131301.

103131132219 is a `hidden beast` number, since 1 + 0 + 313 + 1 + 132 + 219 = 666.

It is not a de Polignac number, because 103131132219 - 23 = 103131132211 is a prime.

It is a super-2 number, since 2×1031311322192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103131132192 and 103131132201.

It is not an unprimeable number, because it can be changed into a prime (103131132211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63386484 + ... + 63388110.

It is an arithmetic number, because the mean of its divisors is an integer number (3165234930).

Almost surely, 2103131132219 is an apocalyptic number.

103131132219 is a deficient number, since it is larger than the sum of its proper divisors (48800144421).

103131132219 is a wasteful number, since it uses less digits than its factorization.

103131132219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 103131132219 in words is "one hundred three billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred nineteen".

Divisors: 1 3 9 101 137 303 411 509 909 1233 1527 1627 4581 4881 13837 14643 41511 51409 69733 124533 154227 164327 209199 222899 462681 492981 627597 668697 828143 1478943 2006091 2484429 7043033 7453287 21129099 22512799 63387297 67538397 83642443 113455591 202615191 250927329 340366773 752781987 1021100319 11459014691 34377044073 103131132219