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10115262801 = 337163328343
BaseRepresentation
bin10010110101110101…
…01010100101010001
3222002221122120222000
421122322222211101
5131204001402201
64351421104213
7505444213050
oct113272524521
928087576860
1010115262801
114320890726
121b636b8069
13c52846107
146bd5a8397
153e3079d86
hex25aeaa951

10115262801 has 32 divisors (see below), whose sum is σ = 17231493120. Its totient is φ = 5744671632.

The previous prime is 10115262799. The next prime is 10115262809. The reversal of 10115262801 is 10826251101.

10115262801 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 10115262801 - 21 = 10115262799 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10115262809) 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, 133365 + ... + 194978.

It is an arithmetic number, because the mean of its divisors is an integer number (538484160).

Almost surely, 210115262801 is an apocalyptic number.

It is an amenable number.

10115262801 is a deficient number, since it is larger than the sum of its proper divisors (7116230319).

10115262801 is a wasteful number, since it uses less digits than its factorization.

10115262801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328522 (or 328516 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10115262801 in words is "ten billion, one hundred fifteen million, two hundred sixty-two thousand, eight hundred one".

Divisors: 1 3 7 9 21 27 63 163 189 489 1141 1467 3423 4401 10269 30807 328343 985029 2298401 2955087 6895203 8865261 20685609 53519909 62056827 160559727 374639363 481679181 1123918089 1445037543 3371754267 10115262801