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1013014122021 = 3211291232928619
BaseRepresentation
bin11101011110111000101…
…10001100111000100101
310120211202200210022201100
432233130112030320211
5113044123103401041
62053212224150313
7133121301651516
oct16573426147045
93524680708640
101013014122021
11360687076440
121443b4468399
13746b0573365
143705ca0aa0d
151b53e0576b6
hexebdc58ce25

1013014122021 has 48 divisors (see below), whose sum is σ = 1651499928000. Its totient is φ = 592708542720.

The previous prime is 1013014121981. The next prime is 1013014122031. The reversal of 1013014122021 is 1202214103101.

1013014122021 is a `hidden beast` number, since 101 + 301 + 41 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 1013014122021 - 219 = 1013013597733 is a prime.

It is a super-2 number, since 2×10130141220212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013014121985 and 1013014122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013014122031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35382250 + ... + 35410868.

It is an arithmetic number, because the mean of its divisors is an integer number (34406248500).

Almost surely, 21013014122021 is an apocalyptic number.

1013014122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013014122021 is a deficient number, since it is larger than the sum of its proper divisors (638485805979).

1013014122021 is a wasteful number, since it uses less digits than its factorization.

1013014122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40994 (or 40991 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1013014122021 its reverse (1202214103101), we get a palindrome (2215228225122).

The spelling of 1013014122021 in words is "one trillion, thirteen billion, fourteen million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 12329 28619 36987 85857 110961 135619 257571 314809 357541 406857 829951 944427 1072623 1220571 2489853 2833281 3217869 3932951 7469559 9129461 11798853 27388383 35396559 82165149 352843651 1058530953 3175592859 3881280161 10232465879 11643840483 30697397637 34931521449 92092192911 112557124669 337671374007 1013014122021