Search a number
-
+
23430401240121 = 34299974628029
BaseRepresentation
bin1010101001111010100001…
…01111100010110000111001
310001221220221221121011110000
411110331100233202300321
511032340430204140441
6121455435553543213
74635535120324101
oct524752057426071
9101856857534400
1023430401240121
117513860741847
122764b75b74b09
13100c6289a0c45
145b0074b6a201
152a9729e582b6
hex154f50be2c39

23430401240121 has 20 divisors (see below), whose sum is σ = 36207899748900. Its totient is φ = 15081637578336.

The previous prime is 23430401240117. The next prime is 23430401240123. The reversal of 23430401240121 is 12104210403432.

23430401240121 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 0 + 401 + 240 + 12 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16626332451600 + 6804068788521 = 4077540^2 + 2608461^2 .

It is not a de Polignac number, because 23430401240121 - 22 = 23430401240117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23430401240123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4987311666 + ... + 4987316363.

It is an arithmetic number, because the mean of its divisors is an integer number (1810394987445).

Almost surely, 223430401240121 is an apocalyptic number.

It is an amenable number.

23430401240121 is a deficient number, since it is larger than the sum of its proper divisors (12777498508779).

23430401240121 is an equidigital number, since it uses as much as digits as its factorization.

23430401240121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974628070 (or 9974628061 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 23430401240121 its reverse (12104210403432), we get a palindrome (35534611643553).

The spelling of 23430401240121 in words is "twenty-three trillion, four hundred thirty billion, four hundred one million, two hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 9974628029 29923884087 89771652261 269314956783 289264212841 807944870349 867792638523 2603377915569 7810133746707 23430401240121