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23421122112432 = 243113757114471451
BaseRepresentation
bin1010101001101001001111…
…01010011110101110110000
310001221001000021021122020010
411110310213222132232300
511032212424230044212
6121451303122014520
74635056145124512
oct524644752365660
9101831007248203
1023421122112432
11750a929932880
1227632064a7440
13100b7aa450345
145ad834655bb2
152a93854e203c
hex154d27a9ebb0

23421122112432 has 320 divisors, whose sum is σ = 68001381347328. Its totient is φ = 6883885440000.

The previous prime is 23421122112413. The next prime is 23421122112439.

23421122112432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234211221124322 (a number of 28 digits) contains 22 as substring.

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 23421122112432.

It is not an unprimeable number, because it can be changed into a prime (23421122112439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16141365307 + ... + 16141366757.

Almost surely, 223421122112432 is an apocalyptic number.

23421122112432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23421122112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34000690673664).

23421122112432 is an abundant number, since it is smaller than the sum of its proper divisors (44580259234896).

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

23421122112432 is a wasteful number, since it uses less digits than its factorization.

23421122112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3522 counting only the distinct ones).

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

It can be divided in two parts, 2342112 and 2112432, that added together give a palindrome (4454544).

The spelling of 23421122112432 in words is "twenty-three trillion, four hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, four hundred thirty-two".