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1020355213033 = 13411914362501
BaseRepresentation
bin11101101100100011110…
…10001111011011101001
310121112201022100101102001
432312101322033123221
5113204141413304113
62100424505211001
7133501232131312
oct16662172173351
93545638311361
101020355213033
11363803a0a802
12145902a90a61
13752b04333b0
1437557995609
151b81d79a7dd
hexed91e8f6e9

1020355213033 has 8 divisors (see below), whose sum is σ = 1125645151176. Its totient is φ = 918894000000.

The previous prime is 1020355212997. The next prime is 1020355213057. The reversal of 1020355213033 is 3303125530201.

It can be written as a sum of positive squares in 4 ways, for example, as 190993472784 + 829361740249 = 437028^2 + 910693^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020355213033 is a prime.

It is a super-2 number, since 2×10203552130332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020355212992 and 1020355213010.

It is not an unprimeable number, because it can be changed into a prime (1020355213093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957180718 + ... + 957181783.

It is an arithmetic number, because the mean of its divisors is an integer number (140705643897).

Almost surely, 21020355213033 is an apocalyptic number.

1020355213033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020355213033 is a deficient number, since it is larger than the sum of its proper divisors (105289938143).

1020355213033 is a wasteful number, since it uses less digits than its factorization.

1020355213033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914362555.

The product of its (nonzero) digits is 8100, while the sum is 28.

The spelling of 1020355213033 in words is "one trillion, twenty billion, three hundred fifty-five million, two hundred thirteen thousand, thirty-three".

Divisors: 1 13 41 533 1914362501 24886712513 78488862541 1020355213033