Search a number
-
+
122041144353 = 3235333371929
BaseRepresentation
bin111000110101000111…
…0000001010000100001
3102200000020221111011110
41301222032001100201
53444420013104403
6132022005133533
711550202416402
oct1615216012041
9380006844143
10122041144353
1147837054087
121b79b3ba2a9
13b67c0390ab
145c9a4719a9
153294294103
hex1c6a381421

122041144353 has 16 divisors (see below), whose sum is σ = 173000085120. Its totient is φ = 76354971264.

The previous prime is 122041144327. The next prime is 122041144363. The reversal of 122041144353 is 353441140221.

It is a de Polignac number, because none of the positive numbers 2k-122041144353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122041144353.

It is not an unprimeable number, because it can be changed into a prime (122041144363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16682308 + ... + 16689621.

It is an arithmetic number, because the mean of its divisors is an integer number (10812505320).

Almost surely, 2122041144353 is an apocalyptic number.

It is an amenable number.

122041144353 is a deficient number, since it is larger than the sum of its proper divisors (50958940767).

122041144353 is a wasteful number, since it uses less digits than its factorization.

122041144353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33372008.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 122041144353 its reverse (353441140221), we get a palindrome (475482284574).

The spelling of 122041144353 in words is "one hundred twenty-two billion, forty-one million, one hundred forty-four thousand, three hundred fifty-three".

Divisors: 1 3 23 53 69 159 1219 3657 33371929 100115787 767554367 1768712237 2302663101 5306136711 40680381451 122041144353