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10913231901 = 31113611014129
BaseRepresentation
bin10100010100111101…
…01011010000011101
31001011120011121210010
422022132223100131
5134322241410101
65002524233433
7534303640425
oct121236532035
931146147703
1010913231901
1146a0264720
12214699b879
13104bc67790
14757565485
1543d1502d6
hex28a7ab41d

10913231901 has 64 divisors (see below), whose sum is σ = 17551376640. Its totient is φ = 5944320000.

The previous prime is 10913231893. The next prime is 10913231921.

It is a happy number.

10913231901 is nontrivially palindromic in base 10.

10913231901 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 10913231901 - 23 = 10913231893 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10913231921) 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 63 ways as a sum of consecutive naturals, for example, 2641005 + ... + 2645133.

It is an arithmetic number, because the mean of its divisors is an integer number (274240260).

Almost surely, 210913231901 is an apocalyptic number.

10913231901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10913231901 is a deficient number, since it is larger than the sum of its proper divisors (6638144739).

10913231901 is a wasteful number, since it uses less digits than its factorization.

10913231901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318.

The product of its (nonzero) digits is 1458, while the sum is 30.

The spelling of 10913231901 in words is "ten billion, nine hundred thirteen million, two hundred thirty-one thousand, nine hundred one".

Divisors: 1 3 11 13 33 39 61 101 143 183 303 429 671 793 1111 1313 2013 2379 3333 3939 4129 6161 8723 12387 14443 18483 26169 43329 45419 53677 67771 80093 136257 161031 203313 240279 251869 417029 590447 755607 881023 1251087 1771341 2643069 2770559 3274297 4587319 5421377 8311677 9822891 13761957 16264131 25438769 36017267 59635147 76316307 108051801 178905441 279826459 330703997 839479377 992111991 3637743967 10913231901