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13213022202020 = 2251901347528201
BaseRepresentation
bin1100000001000110010101…
…1111101010100010100100
31201210011010020100121200102
43000101211133222202210
53212440232140431040
644033551213403232
72532416002423064
oct300214537524244
951704106317612
1013213022202020
11423467a630023
121594932499518
1374aca0b50a74
143397297b13a4
1517da7ae96515
hexc04657ea8a4

13213022202020 has 24 divisors (see below), whose sum is σ = 27761942888568. Its totient is φ = 5282428640000.

The previous prime is 13213022201993. The next prime is 13213022202049. The reversal of 13213022202020 is 2020222031231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 240303883264 + 12972718318756 = 490208^2 + 3601766^2 .

It is a super-2 number, since 2×132130222020202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13213022201983 and 13213022202001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173726081 + ... + 173802120.

It is an arithmetic number, because the mean of its divisors is an integer number (1156747620357).

Almost surely, 213213022202020 is an apocalyptic number.

13213022202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213022202020 is an abundant number, since it is smaller than the sum of its proper divisors (14548920686548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13213022202020 is a wasteful number, since it uses less digits than its factorization.

13213022202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347530111 (or 347530109 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13213022202020 its reverse (2020222031231), we get a palindrome (15233244233251).

The spelling of 13213022202020 in words is "thirteen trillion, two hundred thirteen billion, twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 1901 3802 7604 9505 19010 38020 347528201 695056402 1390112804 1737641005 3475282010 6950564020 660651110101 1321302220202 2642604440404 3303255550505 6606511101010 13213022202020