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13210213032 = 23321747105023
BaseRepresentation
bin11000100110110001…
…11101101010101000
31021002122100100112100
430103120331222220
5204023303304112
610022500413400
7645234646422
oct142330755250
937078310470
1013210213032
115669903635
1226880a7260
131326ac3803
148d4649812
15524b272dc
hex31363daa8

13210213032 has 48 divisors (see below), whose sum is σ = 35798480640. Its totient is φ = 4400841888.

The previous prime is 13210213021. The next prime is 13210213033. The reversal of 13210213032 is 23031201231.

13210213032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13210212996 and 13210213014.

It is not an unprimeable number, because it can be changed into a prime (13210213033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73273 + ... + 178295.

It is an arithmetic number, because the mean of its divisors is an integer number (745801680).

Almost surely, 213210213032 is an apocalyptic number.

13210213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13210213032 is an abundant number, since it is smaller than the sum of its proper divisors (22588267608).

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

13210213032 is a wasteful number, since it uses less digits than its factorization.

13210213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106782 (or 106775 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13210213032 its reverse (23031201231), we get a palindrome (36241414263).

The spelling of 13210213032 in words is "thirteen billion, two hundred ten million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1747 3494 5241 6988 10482 13976 15723 20964 31446 41928 62892 105023 125784 210046 315069 420092 630138 840184 945207 1260276 1890414 2520552 3780828 7561656 183475181 366950362 550425543 733900724 1100851086 1467801448 1651276629 2201702172 3302553258 4403404344 6605106516 13210213032