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120113111322 = 23237180350017
BaseRepresentation
bin110111111011101001…
…1001010000100011010
3102111000220000021001200
41233313103022010122
53431442424030242
6131102412455030
711451341413011
oct1576723120432
9374026007050
10120113111322
1146a377a1356
121b34177a476
13b43276b949
145b5638ba78
1531ced9a04c
hex1bf74ca11a

120113111322 has 24 divisors (see below), whose sum is σ = 267278726676. Its totient is φ = 38955603456.

The previous prime is 120113111291. The next prime is 120113111333. The reversal of 120113111322 is 223111311021.

120113111322 is a `hidden beast` number, since 1 + 20 + 11 + 311 + 1 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120097595601 + 15515721 = 346551^2 + 3939^2 .

It is a super-2 number, since 2×1201131113222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120113111295 and 120113111304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90174343 + ... + 90175674.

Almost surely, 2120113111322 is an apocalyptic number.

120113111322 is an abundant number, since it is smaller than the sum of its proper divisors (147165615354).

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

120113111322 is a wasteful number, since it uses less digits than its factorization.

120113111322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180350062 (or 180350059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120113111322 its reverse (223111311021), we get a palindrome (343224422343).

The spelling of 120113111322 in words is "one hundred twenty billion, one hundred thirteen million, one hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 180350017 360700034 541050051 1082100102 1623150153 3246300306 6672950629 13345901258 20018851887 40037703774 60056555661 120113111322