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13210000001020 = 2251813649171271
BaseRepresentation
bin1100000000111011000101…
…0110111000011111111100
31201202212022121112220022001
43000032301112320133330
53212413040000013040
644032331253232044
72532251054223334
oct300166126703774
951685277486261
1013210000001020
114233369686749
12159422a332624
1374a90b995354
1433952026a0c4
1517d9509b959a
hexc03b15b87fc

13210000001020 has 24 divisors (see below), whose sum is σ = 27894265203168. Its totient is φ = 5254806628800.

The previous prime is 13210000001017. The next prime is 13210000001027. The reversal of 13210000001020 is 2010000001231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13210000000988 and 13210000001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210000001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1824582016 + ... + 1824589255.

It is an arithmetic number, because the mean of its divisors is an integer number (1162261050132).

Almost surely, 213210000001020 is an apocalyptic number.

13210000001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13210000001020 is an abundant number, since it is smaller than the sum of its proper divisors (14684265202148).

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

13210000001020 is a wasteful number, since it uses less digits than its factorization.

13210000001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649171461 (or 3649171459 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 13210000001020 its reverse (2010000001231), we get a palindrome (15220000002251).

The spelling of 13210000001020 in words is "thirteen trillion, two hundred ten billion, one thousand, twenty".

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 3649171271 7298342542 14596685084 18245856355 36491712710 72983425420 660500000051 1321000000102 2642000000204 3302500000255 6605000000510 13210000001020