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1012023001013 = 73101881155801
BaseRepresentation
bin11101011101000010100…
…01010111111110110101
310120202012121211011021212
432232201101113332311
5113040110342013023
62052530021051205
7133054605401063
oct16564121277665
93522177734255
101012023001013
11360218667572
12144178556b05
137458312471b
1436da7131033
151b4d202be78
hexeba1457fb5

1012023001013 has 16 divisors (see below), whose sum is σ = 1037226263472. Its totient is φ = 987148800000.

The previous prime is 1012023000991. The next prime is 1012023001021. The reversal of 1012023001013 is 3101003202101.

It can be written as a sum of positive squares in 8 ways, for example, as 3689712049 + 1008333288964 = 60743^2 + 1004158^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012023001013 - 214 = 1012022984629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012023001043) 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, 6417713 + ... + 6573513.

It is an arithmetic number, because the mean of its divisors is an integer number (64826641467).

Almost surely, 21012023001013 is an apocalyptic number.

It is an amenable number.

1012023001013 is a deficient number, since it is larger than the sum of its proper divisors (25203262459).

1012023001013 is a wasteful number, since it uses less digits than its factorization.

1012023001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156856.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1012023001013 its reverse (3101003202101), we get a palindrome (4113026203114).

The spelling of 1012023001013 in words is "one trillion, twelve billion, twenty-three million, one thousand, thirteen".

Divisors: 1 73 101 881 7373 64313 88981 155801 6495613 11373473 15735901 137260681 1148720773 10020029713 13863328781 1012023001013