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10355661011 = 293147245087
BaseRepresentation
bin10011010010011111…
…01101100011010011
3222201201000002022102
421221033231203103
5132202022123021
64431325431015
7514423444343
oct115117554323
928651002272
1010355661011
114434556433
12201010b46b
13c905a6287
147034a4d23
1540921400b
hex2693ed8d3

10355661011 has 16 divisors (see below), whose sum is σ = 11293655040. Its totient is φ = 9470123040.

The previous prime is 10355660981. The next prime is 10355661023. The reversal of 10355661011 is 11016655301.

It is not a de Polignac number, because 10355661011 - 214 = 10355644627 is a prime.

It is a super-3 number, since 3×103556610113 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10355661091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80291 + ... + 164796.

It is an arithmetic number, because the mean of its divisors is an integer number (705853440).

Almost surely, 210355661011 is an apocalyptic number.

10355661011 is a deficient number, since it is larger than the sum of its proper divisors (937994029).

10355661011 is a wasteful number, since it uses less digits than its factorization.

10355661011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245194.

The product of its (nonzero) digits is 2700, while the sum is 29.

The spelling of 10355661011 in words is "ten billion, three hundred fifty-five million, six hundred sixty-one thousand, eleven".

Divisors: 1 29 31 47 899 1363 1457 42253 245087 7107523 7597697 11519089 220333213 334053581 357091759 10355661011