Search a number
-
+
10056061731 = 317613539157
BaseRepresentation
bin10010101110110001…
…10101001100100011
3221221211020212100210
421113120311030203
5131043322433411
64341504145203
7504125054142
oct112730651443
927854225323
1010056061731
1142a0426021
121b47908203
13c434b89b1
146b5797759
153dcc83ca6
hex257635323

10056061731 has 32 divisors (see below), whose sum is σ = 14471984448. Its totient is φ = 6187991040.

The previous prime is 10056061727. The next prime is 10056061751. The reversal of 10056061731 is 13716065001.

10056061731 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10056061731 - 22 = 10056061727 is a prime.

It is a super-2 number, since 2×100560617312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10056061751) 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 31 ways as a sum of consecutive naturals, for example, 1093605 + ... + 1102761.

It is an arithmetic number, because the mean of its divisors is an integer number (452249514).

Almost surely, 210056061731 is an apocalyptic number.

10056061731 is a deficient number, since it is larger than the sum of its proper divisors (4415922717).

10056061731 is a wasteful number, since it uses less digits than its factorization.

10056061731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591.

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10056061731 in words is "ten billion, fifty-six million, sixty-one thousand, seven hundred thirty-one".

Divisors: 1 3 17 51 61 183 353 1037 1059 3111 6001 9157 18003 21533 27471 64599 155669 366061 467007 558577 1098183 1675731 3232421 9495809 9697263 28487427 54951157 164853471 197177681 591533043 3352020577 10056061731