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13210021020 = 223571723257313
BaseRepresentation
bin11000100110110000…
…01110110010011100
31021002121222121010210
430103120032302130
5204023231133040
610022452332420
7645233216550
oct142330166234
937077877123
1013210021020
115669792349
122688014110
131326a572b1
148d45d9860
15524ada480
hex31360ec9c

13210021020 has 384 divisors, whose sum is σ = 47036215296. Its totient is φ = 2699034624.

The previous prime is 13210021001. The next prime is 13210021021. The reversal of 13210021020 is 2012001231.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13210020987 and 13210021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210021021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42204384 + ... + 42204696.

It is an arithmetic number, because the mean of its divisors is an integer number (122490144).

Almost surely, 213210021020 is an apocalyptic number.

13210021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13210021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23518107648).

13210021020 is an abundant number, since it is smaller than the sum of its proper divisors (33826194276).

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

13210021020 is a wasteful number, since it uses less digits than its factorization.

13210021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13210021020 its reverse (2012001231), we get a palindrome (15222022251).

The spelling of 13210021020 in words is "thirteen billion, two hundred ten million, twenty-one thousand, twenty".