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103131213213 = 373675632657
BaseRepresentation
bin110000000001100011…
…0010110110110011101
3100212012101120110021110
41200003012112312131
53142203042310323
6115213335452233
710310454564000
oct1400306266635
9325171513243
10103131213213
113a812976a16
1217ba2527079
139957445a22
144dc4c61537
152a3909b793
hex1803196d9d

103131213213 has 64 divisors (see below), whose sum is σ = 163103385600. Its totient is φ = 57927614976.

The previous prime is 103131213203. The next prime is 103131213223. The reversal of 103131213213 is 312312131301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103131213203) and next prime (103131213223).

It is not a de Polignac number, because 103131213213 - 25 = 103131213181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 103131213213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103131213203) 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 63 ways as a sum of consecutive naturals, for example, 38813581 + ... + 38816237.

It is an arithmetic number, because the mean of its divisors is an integer number (2548490400).

Almost surely, 2103131213213 is an apocalyptic number.

It is an amenable number.

103131213213 is a deficient number, since it is larger than the sum of its proper divisors (59972172387).

103131213213 is an equidigital number, since it uses as much as digits as its factorization.

103131213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103131213213 its reverse (312312131301), we get a palindrome (415443344514).

The spelling of 103131213213 in words is "one hundred three billion, one hundred thirty-one million, two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 21 49 67 147 201 343 469 563 1029 1407 1689 2657 3283 3941 7971 9849 11823 18599 22981 27587 37721 55797 68943 82761 113163 130193 178019 193109 264047 390579 534057 579327 792141 911351 1246133 1495891 1848329 2734053 3738399 4487673 5544987 8722931 10471237 12938303 26168793 31413711 38814909 61060517 73298659 100224697 183181551 219895977 300674091 513090613 701572879 1539271839 2104718637 4911010153 14733030459 34377071071 103131213213