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10077022107 = 334115595839
BaseRepresentation
bin10010110001010001…
…10010011110011011
3222000021200202121000
421120220302132123
5131114204201412
64343533320043
7504501163125
oct113050623633
928007622530
1010077022107
114301241949
121b52936023
13c47947299
146b8492215
153dea244dc
hex258a3279b

10077022107 has 32 divisors (see below), whose sum is σ = 15305472000. Its totient is φ = 6548834880.

The previous prime is 10077022103. The next prime is 10077022121. The reversal of 10077022107 is 70122077001.

10077022107 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 10077022107 - 22 = 10077022103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10077022103) 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, 1722894 + ... + 1728732.

It is an arithmetic number, because the mean of its divisors is an integer number (478296000).

Almost surely, 210077022107 is an apocalyptic number.

10077022107 is a deficient number, since it is larger than the sum of its proper divisors (5228449893).

10077022107 is a wasteful number, since it uses less digits than its factorization.

10077022107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

Adding to 10077022107 its reverse (70122077001), we get a palindrome (80199099108).

The spelling of 10077022107 in words is "ten billion, seventy-seven million, twenty-two thousand, one hundred seven".

Divisors: 1 3 9 27 41 123 369 1107 1559 4677 5839 14031 17517 42093 52551 63919 157653 191757 239399 575271 718197 1725813 2154591 6463773 9103001 27309003 81927009 245781027 373223041 1119669123 3359007369 10077022107