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10014101021 = 891736131061
BaseRepresentation
bin10010101001110001…
…10000111000011101
3221211220022001002102
421110320300320131
5131002102213041
64333404534445
7503105311541
oct112470607035
927756261072
1010014101021
114279776351
121b35851425
13c378b6882
146add93a21
153d924609b
hex254e30e1d

10014101021 has 16 divisors (see below), whose sum is σ = 10211384880. Its totient is φ = 9819025920.

The previous prime is 10014101017. The next prime is 10014101057. The reversal of 10014101021 is 12010141001.

It can be written as a sum of positive squares in 8 ways, for example, as 432432025 + 9581668996 = 20795^2 + 97886^2 .

It is a cyclic number.

It is not a de Polignac number, because 10014101021 - 22 = 10014101017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10014100993 and 10014101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014101011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9437831 + ... + 9438891.

It is an arithmetic number, because the mean of its divisors is an integer number (638211555).

Almost surely, 210014101021 is an apocalyptic number.

It is an amenable number.

10014101021 is a deficient number, since it is larger than the sum of its proper divisors (197283859).

10014101021 is a wasteful number, since it uses less digits than its factorization.

10014101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10014101021 its reverse (12010141001), we get a palindrome (22024242022).

The spelling of 10014101021 in words is "ten billion, fourteen million, one hundred one thousand, twenty-one".

Divisors: 1 89 173 613 1061 15397 54557 94429 106049 183553 650393 9438361 16336217 57884977 112517989 10014101021