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10610664101 = 293113493371
BaseRepresentation
bin10011110000111000…
…11110001010100101
31000101110211120210022
421320130132022211
5133212312222401
64512515204525
7523641104522
oct117034361245
930343746708
1010610664101
114555496a94
1220815a6745
13100137ac8b
147292c4149
154217d571b
hex27871e2a5

10610664101 has 16 divisors (see below), whose sum is σ = 11046672000. Its totient is φ = 10179556800.

The previous prime is 10610664089. The next prime is 10610664161. The reversal of 10610664101 is 10146601601.

10610664101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10610664101 is a prime.

It is a super-2 number, since 2×106106641012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10610664161) 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 15 ways as a sum of consecutive naturals, for example, 3145946 + ... + 3149316.

It is an arithmetic number, because the mean of its divisors is an integer number (690417000).

Almost surely, 210610664101 is an apocalyptic number.

It is an amenable number.

10610664101 is a deficient number, since it is larger than the sum of its proper divisors (436007899).

10610664101 is a wasteful number, since it uses less digits than its factorization.

10610664101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 10610664101 in words is "ten billion, six hundred ten million, six hundred sixty-four thousand, one hundred one".

Divisors: 1 29 311 349 3371 9019 10121 97759 108539 1048381 1176479 3147631 30403049 34117891 365884969 10610664101