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23120144102132 = 2271121726310911399
BaseRepresentation
bin1010100000111000100111…
…11110011111001011110100
310000212021010121001112120022
411100130103332133023310
511012300023342232012
6121101125250424312
74604242503215150
oct520342376371364
9100767117045508
1023120144102132
11740421a671a00
122714a09592098
13cb92b2b1351c
1459d04168c060
152a161c047472
hex150713f9f2f4

23120144102132 has 288 divisors, whose sum is σ = 54108659404800. Its totient is φ = 8431966540800.

The previous prime is 23120144102123. The next prime is 23120144102173.

It is a happy number.

23120144102132 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16526192369 + ... + 16526193767.

It is an arithmetic number, because the mean of its divisors is an integer number (187877289600).

Almost surely, 223120144102132 is an apocalyptic number.

23120144102132 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 23120144102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27054329702400).

23120144102132 is an abundant number, since it is smaller than the sum of its proper divisors (30988515302668).

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

23120144102132 is a wasteful number, since it uses less digits than its factorization.

23120144102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2312014 and 4102132, that added together give a palindrome (6414146).

The spelling of 23120144102132 in words is "twenty-three trillion, one hundred twenty billion, one hundred forty-four million, one hundred two thousand, one hundred thirty-two".