Search a number
-
+
122312150133153 = 34091619346917749
BaseRepresentation
bin11011110011111000000100…
…010000101010100110100001
3121001001221001001011121222020
4123303320010100222212201
5112012430240413230103
61112045232010332053
734522522050064401
oct3363700420524641
9531057031147866
10122312150133153
1135a77323096152
1211874ab772a029
135332ca8a9bb36
14222bd225a0801
15e2194681b753
hex6f3e0442a9a1

122312150133153 has 32 divisors (see below), whose sum is σ = 163638954000000. Its totient is φ = 81263810898432.

The previous prime is 122312150133143. The next prime is 122312150133163. The reversal of 122312150133153 is 351331051213221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122312150133143) and next prime (122312150133163).

It is not a de Polignac number, because 122312150133153 - 210 = 122312150132129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122312150133143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6891204723 + ... + 6891222471.

It is an arithmetic number, because the mean of its divisors is an integer number (5113717312500).

Almost surely, 2122312150133153 is an apocalyptic number.

It is an amenable number.

122312150133153 is a deficient number, since it is larger than the sum of its proper divisors (41326803866847).

122312150133153 is a wasteful number, since it uses less digits than its factorization.

122312150133153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23249.

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 122312150133153 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred fifty million, one hundred thirty-three thousand, one hundred fifty-three".

Divisors: 1 3 409 1227 1619 3469 4857 10407 17749 53247 662171 1418821 1986513 4256463 5616311 7259341 16848933 21778023 28735631 61571281 86206893 184713843 2297071199 6891213597 11752873079 25182653929 35258619237 75547961787 99683903939 299051711817 40770716711051 122312150133153