Search a number
-
+
12007371581 is a prime number
BaseRepresentation
bin10110010111011000…
…11111001100111101
31010222210222200020222
423023230133030331
5144042341342311
65303251351125
7603360655142
oct131354371475
933883880228
1012007371581
115101936a97
1223b12b24a5
131194845bca
1481c9ba3c9
154a4229adb
hex2cbb1f33d

12007371581 has 2 divisors, whose sum is σ = 12007371582. Its totient is φ = 12007371580.

The previous prime is 12007371547. The next prime is 12007371611. The reversal of 12007371581 is 18517370021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11542279225 + 465092356 = 107435^2 + 21566^2 .

It is a cyclic number.

It is not a de Polignac number, because 12007371581 - 26 = 12007371517 is a prime.

It is a super-2 number, since 2×120073715812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12007371521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6003685790 + 6003685791.

It is an arithmetic number, because the mean of its divisors is an integer number (6003685791).

Almost surely, 212007371581 is an apocalyptic number.

It is an amenable number.

12007371581 is a deficient number, since it is larger than the sum of its proper divisors (1).

12007371581 is an equidigital number, since it uses as much as digits as its factorization.

12007371581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 35.

The spelling of 12007371581 in words is "twelve billion, seven million, three hundred seventy-one thousand, five hundred eighty-one".