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10207427741 = 7196110112457
BaseRepresentation
bin10011000000110100…
…01111110010011101
3222100101002001111022
421200122033302131
5131401100141431
64404512333525
7510643463360
oct114032176235
928311061438
1010207427741
1143689105a5
121b8a5442a5
13c68975594
146cb91a0d7
153eb1d307b
hex26068fc9d

10207427741 has 32 divisors (see below), whose sum is σ = 12605502720. Its totient is φ = 8071488000.

The previous prime is 10207427719. The next prime is 10207427777. The reversal of 10207427741 is 14772470201.

10207427741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10207427741 - 210 = 10207426717 is a prime.

It is a super-3 number, since 3×102074277413 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10207427701) 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, 813185 + ... + 825641.

It is an arithmetic number, because the mean of its divisors is an integer number (393921960).

Almost surely, 210207427741 is an apocalyptic number.

It is an amenable number.

10207427741 is a deficient number, since it is larger than the sum of its proper divisors (2398074979).

10207427741 is a wasteful number, since it uses less digits than its factorization.

10207427741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645.

The product of its (nonzero) digits is 21952, while the sum is 35.

Adding to 10207427741 its reverse (14772470201), we get a palindrome (24979897942).

The spelling of 10207427741 in words is "ten billion, two hundred seven million, four hundred twenty-seven thousand, seven hundred forty-one".

Divisors: 1 7 19 61 101 133 427 707 1159 1919 6161 8113 12457 13433 43127 87199 117059 236683 759877 819413 1258157 1656781 5319139 8807099 14437663 23904983 76747577 101063641 167334881 537233039 1458203963 10207427741