Search a number
-
+
122072171322 = 23295871195169
BaseRepresentation
bin111000110110000010…
…0011000001100111010
3102200002102022211011110
41301230010120030322
54000000433440242
6132025034141150
711551030223133
oct1615404301472
9380072284143
10122072171322
1147852616102
121b7a98817b6
13b6855b064a
145ca062ac8a
153296d7239c
hex1c6c11833a

122072171322 has 32 divisors (see below), whose sum is σ = 252993585600. Its totient is φ = 39220633088.

The previous prime is 122072171257. The next prime is 122072171323. The reversal of 122072171322 is 223171270221.

It is a happy number.

It is a super-2 number, since 2×1220721713222 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122072171322.

It is not an unprimeable number, because it can be changed into a prime (122072171323) 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, 495447 + ... + 699722.

It is an arithmetic number, because the mean of its divisors is an integer number (7906049550).

Almost surely, 2122072171322 is an apocalyptic number.

122072171322 is an abundant number, since it is smaller than the sum of its proper divisors (130921414278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122072171322 is a wasteful number, since it uses less digits than its factorization.

122072171322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195790.

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 122072171322 in words is "one hundred twenty-two billion, seventy-two million, one hundred seventy-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 29 58 87 174 587 1174 1761 3522 17023 34046 51069 102138 1195169 2390338 3585507 7171014 34659901 69319802 103979703 207959406 701564203 1403128406 2104692609 4209385218 20345361887 40690723774 61036085661 122072171322