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20213142011013 = 3717192156840569
BaseRepresentation
bin1001001100010001111010…
…01001100011110010000101
32122120100122121202112002210
410212020331021203302011
510122133003323323023
6110553442251054033
74154231334150540
oct446107511436205
978510577675083
1020213142011013
116493388789666
122325538441319
13b38125237393
144dc46d8b3857
15250bcbe5e593
hex12623d263c85

20213142011013 has 48 divisors (see below), whose sum is σ = 34419604129920. Its totient is φ = 10298779057152.

The previous prime is 20213142010991. The next prime is 20213142011033. The reversal of 20213142011013 is 31011024131202.

It is not a de Polignac number, because 20213142011013 - 232 = 20208847043717 is a prime.

It is a super-2 number, since 2×202131420110132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213142011033) 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, 78291408 + ... + 78549161.

It is an arithmetic number, because the mean of its divisors is an integer number (717075086040).

Almost surely, 220213142011013 is an apocalyptic number.

It is an amenable number.

20213142011013 is a deficient number, since it is larger than the sum of its proper divisors (14206462118907).

20213142011013 is a wasteful number, since it uses less digits than its factorization.

20213142011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156840634 (or 156840615 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20213142011013 its reverse (31011024131202), we get a palindrome (51224166142215).

The spelling of 20213142011013 in words is "twenty trillion, two hundred thirteen billion, one hundred forty-two million, eleven thousand, thirteen".

Divisors: 1 3 7 17 19 21 51 57 119 133 323 357 361 399 969 1083 2261 2527 6137 6783 7581 18411 42959 128877 156840569 470521707 1097883983 2666289673 2979970811 3293651949 7998869019 8939912433 18664027711 20859795677 50659503787 55992083133 56619445409 62579387031 151978511361 169858336227 354616526509 396336117863 962530571953 1063849579527 1189008353589 2887591715859 6737714003671 20213142011013