Search a number
-
+
123322222101132 = 223222355727579017
BaseRepresentation
bin11100000010100100110001…
…001111011100001010001100
3121011122111012200210001002100
4130002210301033130022030
5112131002402324214012
61114141240254155100
734655510425126515
oct3402446117341214
9534574180701070
10123322222101132
113632672a41071a
12119b880a7b2a90
1353a730a932332
142264b82541a0c
15e3cd624098dc
hex7029313dc28c

123322222101132 has 72 divisors (see below), whose sum is σ = 313691252224896. Its totient is φ = 40849597234944.

The previous prime is 123322222101103. The next prime is 123322222101217. The reversal of 123322222101132 is 231101222223321.

123322222101132 is a `hidden beast` number, since 1 + 2 + 3 + 322 + 2 + 221 + 0 + 113 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123322222101096 and 123322222101105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9317913 + ... + 18261104.

It is an arithmetic number, because the mean of its divisors is an integer number (4356822947568).

Almost surely, 2123322222101132 is an apocalyptic number.

123322222101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123322222101132 is an abundant number, since it is smaller than the sum of its proper divisors (190369030123764).

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

123322222101132 is a wasteful number, since it uses less digits than its factorization.

123322222101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27579807 (or 27579802 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 123322222101132 its reverse (231101222223321), we get a palindrome (354423444324453).

The spelling of 123322222101132 in words is "one hundred twenty-three trillion, three hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 557 669 892 1114 1338 1671 2007 2228 2676 3342 4014 5013 6684 8028 10026 20052 124211 248422 372633 496844 745266 1117899 1490532 2235798 4471596 27579017 55158034 82737051 110316068 165474102 248211153 330948204 496422306 992844612 6150120791 12300241582 15361512469 18450362373 24600483164 30723024938 36900724746 46084537407 55351087119 61446049876 73801449492 92169074814 110702174238 138253612221 184338149628 221404348476 276507224442 553014448884 3425617280587 6851234561174 10276851841761 13702469122348 20553703683522 30830555525283 41107407367044 61661111050566 123322222101132