Search a number
-
+
32013131001 = 31729157137867
BaseRepresentation
bin11101110100001000…
…011001110011111001
310001122001100112221120
4131310020121303321
51011030330143001
622412344255453
72212213060305
oct356410316371
9101561315846
1032013131001
111263863a165
126255171589
133032489187
141799960d05
15c75732236
hex774219cf9

32013131001 has 32 divisors (see below), whose sum is σ = 47051591040. Its totient is φ = 19270358016.

The previous prime is 32013130949. The next prime is 32013131081. The reversal of 32013131001 is 10013131023.

It is a de Polignac number, because none of the positive numbers 2k-32013131001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32013131081) 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, 163270 + ... + 301136.

It is an arithmetic number, because the mean of its divisors is an integer number (1470362220).

Almost surely, 232013131001 is an apocalyptic number.

It is an amenable number.

32013131001 is a deficient number, since it is larger than the sum of its proper divisors (15038460039).

32013131001 is a wasteful number, since it uses less digits than its factorization.

32013131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138073.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 32013131001 its reverse (10013131023), we get a palindrome (42026262024).

The spelling of 32013131001 in words is "thirty-two billion, thirteen million, one hundred thirty-one thousand, one".

Divisors: 1 3 17 29 51 87 157 471 493 1479 2669 4553 8007 13659 77401 137867 232203 413601 2343739 3998143 7031217 11994429 21645119 64935357 67968431 203905293 367967023 627708451 1103901069 1883125353 10671043667 32013131001