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23202131001 = 378373918013
BaseRepresentation
bin10101100110111101…
…000110110000111001
32012212222220101012020
4111212331012300321
5340004221143001
614354154105053
71450653600540
oct254675066071
965788811166
1023202131001
119926aa8485
1245b641b189
132259c113ca
1411a16a7157
1590be3a736
hex566f46c39

23202131001 has 32 divisors (see below), whose sum is σ = 35832007680. Its totient is φ = 13080170304.

The previous prime is 23202130981. The next prime is 23202131033. The reversal of 23202131001 is 10013120232.

It is not a de Polignac number, because 23202131001 - 26 = 23202130937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23202131101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1279071 + ... + 1297083.

It is an arithmetic number, because the mean of its divisors is an integer number (1119750240).

Almost surely, 223202131001 is an apocalyptic number.

23202131001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23202131001 is a deficient number, since it is larger than the sum of its proper divisors (12629876679).

23202131001 is a wasteful number, since it uses less digits than its factorization.

23202131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18845.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23202131001 its reverse (10013120232), we get a palindrome (33215251233).

The spelling of 23202131001 in words is "twenty-three billion, two hundred two million, one hundred thirty-one thousand, one".

Divisors: 1 3 7 21 83 249 581 739 1743 2217 5173 15519 18013 54039 61337 126091 184011 378273 429359 1288077 1495079 4485237 10465553 13311607 31396659 39934821 93181249 279543747 1104863381 3314590143 7734043667 23202131001