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2023020410013 = 321723857670811
BaseRepresentation
bin11101011100000101011…
…010011011010010011101
321011101202202210211211100
4131130011122123102131
5231121121211110023
64145210204143313
7266105221522041
oct35340532332235
97141682724740
102023020410013
1170aa5a310629
122880a9537b39
13118a0191b465
146dcb3d72021
1537953ebec43
hex1d70569b49d

2023020410013 has 48 divisors (see below), whose sum is σ = 3232326404736. Its totient is φ = 1212738616320.

The previous prime is 2023020409937. The next prime is 2023020410023. The reversal of 2023020410013 is 3100140203202.

2023020410013 is a `hidden beast` number, since 2 + 0 + 230 + 20 + 410 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 2023020410013 - 213 = 2023020401821 is a prime.

It is a super-2 number, since 2×20230204100132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023020410023) 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, 2680378 + ... + 3351188.

It is an arithmetic number, because the mean of its divisors is an integer number (67340133432).

Almost surely, 22023020410013 is an apocalyptic number.

2023020410013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2023020410013 is a deficient number, since it is larger than the sum of its proper divisors (1209305994723).

2023020410013 is a wasteful number, since it uses less digits than its factorization.

2023020410013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671714 (or 671711 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2023020410013 its reverse (3100140203202), we get a palindrome (5123160613215).

The spelling of 2023020410013 in words is "two trillion, twenty-three billion, twenty million, four hundred ten thousand, thirteen".

Divisors: 1 3 9 17 23 51 69 153 207 391 857 1173 2571 3519 7713 14569 19711 43707 59133 131121 177399 335087 670811 1005261 2012433 3015783 6037299 11403787 15428653 34211361 46285959 102634083 138857877 262287101 574885027 786861303 1724655081 2360583909 5173965243 9773045459 13222355621 29319136377 39667066863 87957409131 119001200589 224780045557 674340136671 2023020410013