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22120131312 = 2432153612023
BaseRepresentation
bin10100100110011101…
…100110101011110000
32010002120221002122200
4110212131212223300
5330300223200222
614054543103200
71412105004516
oct244635465360
963076832580
1022120131312
119421268064
124353ba1b00
1321169c38c6
1410dbad24b6
15896e5ceac
hex526766af0

22120131312 has 30 divisors (see below), whose sum is σ = 61905645672. Its totient is φ = 7373377056.

The previous prime is 22120131311. The next prime is 22120131323. The reversal of 22120131312 is 21313102122.

22120131312 is a `hidden beast` number, since 221 + 2 + 0 + 131 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120131311) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76805868 + ... + 76806155.

Almost surely, 222120131312 is an apocalyptic number.

It is an amenable number.

22120131312 is an abundant number, since it is smaller than the sum of its proper divisors (39785514360).

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

22120131312 is a wasteful number, since it uses less digits than its factorization.

22120131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153612037 (or 153612028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22120131312 its reverse (21313102122), we get a palindrome (43433233434).

The spelling of 22120131312 in words is "twenty-two billion, one hundred twenty million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 153612023 307224046 460836069 614448092 921672138 1228896184 1382508207 1843344276 2457792368 2765016414 3686688552 5530032828 7373377104 11060065656 22120131312