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122000113313131 = 7313945232658251
BaseRepresentation
bin11011101111010101011101…
…011010101010010101101011
3120222222002121122211210022011
4123233111131122222111223
5111442322213002010011
61111250024530340351
734461134352633214
oct3357253532522553
9528862548753264
10122000113313131
1135966a59479909
121182453312a6b7
13530c73b2b6421
14221aba09b840b
15e18782567621
hex6ef55d6aa56b

122000113313131 has 16 divisors (see below), whose sum is σ = 124588656017280. Its totient is φ = 119436746184000.

The previous prime is 122000113313119. The next prime is 122000113313149. The reversal of 122000113313131 is 131313311000221.

It is a cyclic number.

It is not a de Polignac number, because 122000113313131 - 27 = 122000113313003 is a prime.

It is a super-2 number, since 2×1220001133131312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122000113313731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44565756 + ... + 47224006.

It is an arithmetic number, because the mean of its divisors is an integer number (7786791001080).

Almost surely, 2122000113313131 is an apocalyptic number.

122000113313131 is a deficient number, since it is larger than the sum of its proper divisors (2588542704149).

122000113313131 is a wasteful number, since it uses less digits than its factorization.

122000113313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662986.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 122000113313131 its reverse (131313311000221), we get a palindrome (253313424313352).

The spelling of 122000113313131 in words is "one hundred twenty-two trillion, one hundred thirteen million, three hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 73 139 4523 10147 330179 628697 2658251 45894881 194052323 369496889 12023269273 26973272897 877698656929 1671234428947 122000113313131