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103214040331 = 2911338218243
BaseRepresentation
bin110000000100000001…
…0010100010100001011
3100212102011102111201111
41200020002110110023
53142340243242311
6115225455031151
710312511603323
oct1401002242413
9325364374644
10103214040331
113a8556a9186
121800620b4b7
13996b655b5c
144dd1c62283
152a414acd21
hex180809450b

103214040331 has 16 divisors (see below), whose sum is σ = 107759302560. Its totient is φ = 98735203840.

The previous prime is 103214040313. The next prime is 103214040401. The reversal of 103214040331 is 133040412301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103214040331 is a prime.

It is a super-2 number, since 2×1032140403312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103214047331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12517296 + ... + 12525538.

It is an arithmetic number, because the mean of its divisors is an integer number (6734956410).

Almost surely, 2103214040331 is an apocalyptic number.

103214040331 is a deficient number, since it is larger than the sum of its proper divisors (4545262229).

103214040331 is a wasteful number, since it uses less digits than its factorization.

103214040331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12206.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103214040331 its reverse (133040412301), we get a palindrome (236254452632).

The spelling of 103214040331 in words is "one hundred three billion, two hundred fourteen million, forty thousand, three hundred thirty-one".

Divisors: 1 29 113 3277 3821 8243 110809 239047 431773 931459 12521417 27012311 31496503 913398587 3559104839 103214040331