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1013101133427 = 33122971305131
BaseRepresentation
bin11101011111000011000…
…10000111111001110011
310120211222202111221221000
432233201202013321303
5113044312342232202
62053225013133043
7133123406356215
oct16574142077163
93524882457830
101013101133427
113607211a6399
1214441962a183
13746c55b9bb6
143706a3ba5b5
151b5469e391c
hexebe1887e73

1013101133427 has 16 divisors (see below), whose sum is σ = 1500907692160. Its totient is φ = 675393049800.

The previous prime is 1013101133419. The next prime is 1013101133431. The reversal of 1013101133427 is 7243311013101.

1013101133427 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 101 + 133 + 427 = 666.

It is not a de Polignac number, because 1013101133427 - 23 = 1013101133419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013101133427.

It is not an unprimeable number, because it can be changed into a prime (1013101133417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3167652 + ... + 3472782.

It is an arithmetic number, because the mean of its divisors is an integer number (93806730760).

Almost surely, 21013101133427 is an apocalyptic number.

1013101133427 is a deficient number, since it is larger than the sum of its proper divisors (487806558733).

1013101133427 is a wasteful number, since it uses less digits than its factorization.

1013101133427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428111 (or 428105 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 1013101133427 its reverse (7243311013101), we get a palindrome (8256412146528).

The spelling of 1013101133427 in words is "one trillion, thirteen billion, one hundred one million, one hundred thirty-three thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 122971 305131 368913 915393 1106739 2746179 3320217 8238537 37522264201 112566792603 337700377809 1013101133427