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3900132901 = 72495716057
BaseRepresentation
bin1110100001110111…
…0100111000100101
3101001210210021112201
43220131310320211
530441413223101
61443001214501
7165435403600
oct35035647045
911053707481
103900132901
111721583635
1290a191431
134a2026562
1428dd99337
1517c5e9e01
hexe8774e25

3900132901 has 12 divisors (see below), whose sum is σ = 4538087148. Its totient is φ = 3342088512.

The previous prime is 3900132883. The next prime is 3900132919. The reversal of 3900132901 is 1092310093.

It is an interprime number because it is at equal distance from previous prime (3900132883) and next prime (3900132919).

It can be written as a sum of positive squares in 2 ways, for example, as 2604060900 + 1296072001 = 51030^2 + 36001^2 .

It is not a de Polignac number, because 3900132901 - 227 = 3765915173 is a prime.

It is a super-2 number, since 2×39001329012 = 30422073290925351602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3900132901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900132941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234865 + ... + 250921.

It is an arithmetic number, because the mean of its divisors is an integer number (378173929).

Almost surely, 23900132901 is an apocalyptic number.

It is an amenable number.

3900132901 is a deficient number, since it is larger than the sum of its proper divisors (637954247).

3900132901 is a wasteful number, since it uses less digits than its factorization.

3900132901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028 (or 21021 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 3900132901 is about 62451.0440345075. The cubic root of 3900132901 is about 1574.0787962805.

Adding to 3900132901 its reverse (1092310093), we get a palindrome (4992442994).

The spelling of 3900132901 in words is "three billion, nine hundred million, one hundred thirty-two thousand, nine hundred one".

Divisors: 1 7 49 4957 16057 34699 112399 242893 786793 79594549 557161843 3900132901