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10131103221093 = 323733017903849
BaseRepresentation
bin1001001101101101010011…
…0011110000010101100101
31022212112011000001221021200
42103123110303300111211
52311441444411033333
633314055314033113
72063643116341551
oct223332463602545
938775130057250
1010131103221093
113256638718518
121177585b78799
1358648876abaa
142704c2d34861
151287eea76c13
hex936d4cf0565

10131103221093 has 12 divisors (see below), whose sum is σ = 14673048518700. Its totient is φ = 6735961388736.

The previous prime is 10131103221091. The next prime is 10131103221121. The reversal of 10131103221093 is 39012230113101.

10131103221093 is a `hidden beast` number, since 10 + 1 + 311 + 0 + 322 + 10 + 9 + 3 = 666.

10131103221093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5930968588164 + 4200134632929 = 2435358^2 + 2049423^2 .

It is not a de Polignac number, because 10131103221093 - 21 = 10131103221091 is a prime.

It is a super-2 number, since 2×101311032210932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131103221091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1508948568 + ... + 1508955281.

It is an arithmetic number, because the mean of its divisors is an integer number (1222754043225).

Almost surely, 210131103221093 is an apocalyptic number.

It is an amenable number.

10131103221093 is a deficient number, since it is larger than the sum of its proper divisors (4541945297607).

10131103221093 is a wasteful number, since it uses less digits than its factorization.

10131103221093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017904228 (or 3017904225 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 10131103221093 its reverse (39012230113101), we get a palindrome (49143333334194).

The spelling of 10131103221093 in words is "ten trillion, one hundred thirty-one billion, one hundred three million, two hundred twenty-one thousand, ninety-three".

Divisors: 1 3 9 373 1119 3357 3017903849 9053711547 27161134641 1125678135677 3377034407031 10131103221093