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1013144200401 = 34743949932801
BaseRepresentation
bin11101011111001000001…
…10011010010011010001
310120212002202112222201010
432233210012122103101
5113044404403403101
62053233152201133
7133124441420004
oct16574406322321
93525082488633
101013144200401
11360743541233
1214442bb391a9
13747014b8708
1437071dcb53b
151b54a69e2d6
hexebe419a4d1

1013144200401 has 32 divisors (see below), whose sum is σ = 1385556480000. Its totient is φ = 658210982400.

The previous prime is 1013144200381. The next prime is 1013144200423. The reversal of 1013144200401 is 1040024413101.

1013144200401 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 1013144200401 - 29 = 1013144199889 is a prime.

It is a super-2 number, since 2×10131442004012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013144250401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30871201 + ... + 30904001.

It is an arithmetic number, because the mean of its divisors is an integer number (43298640000).

Almost surely, 21013144200401 is an apocalyptic number.

It is an amenable number.

1013144200401 is a deficient number, since it is larger than the sum of its proper divisors (372412279599).

1013144200401 is a wasteful number, since it uses less digits than its factorization.

1013144200401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33789.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1013144200401 its reverse (1040024413101), we get a palindrome (2053168613502).

The spelling of 1013144200401 in words is "one trillion, thirteen billion, one hundred forty-four million, two hundred thousand, four hundred one".

Divisors: 1 3 47 141 439 499 1317 1497 20633 23453 32801 61899 70359 98403 219061 657183 1541647 4624941 10295867 14399639 16367699 30887601 43198917 49103097 676783033 769281853 2030349099 2307845559 7185419861 21556259583 337714733467 1013144200401