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23124122142132 = 22311175182743501
BaseRepresentation
bin1010100001000000000010…
…00101100000010110110100
310000212122101211102220120010
411100200001011200112310
511012331200232022012
6121103024113540220
74604443206050334
oct520400105402664
9100778354386503
1023124122142132
117405981117270
122715739874670
13cb979801664b
1459d2dbb270c4
152a17a13d0c3c
hex1508011605b4

23124122142132 has 24 divisors (see below), whose sum is σ = 58861401816672. Its totient is φ = 7007309740000.

The previous prime is 23124122142131. The next prime is 23124122142139.

23124122142132 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23124122142132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23124122142131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87591371619 + ... + 87591371882.

It is an arithmetic number, because the mean of its divisors is an integer number (2452558409028).

Almost surely, 223124122142132 is an apocalyptic number.

23124122142132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23124122142132 is an abundant number, since it is smaller than the sum of its proper divisors (35737279674540).

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

23124122142132 is a wasteful number, since it uses less digits than its factorization.

23124122142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175182743519 (or 175182743517 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2312412 and 2142132, that added together give a palindrome (4454544).

The spelling of 23124122142132 in words is "twenty-three trillion, one hundred twenty-four billion, one hundred twenty-two million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 175182743501 350365487002 525548230503 700730974004 1051096461006 1927010178511 2102192922012 3854020357022 5781030535533 7708040714044 11562061071066 23124122142132