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13121322210 = 23252337672557
BaseRepresentation
bin11000011100001011…
…10111110011100010
31020212110002020020200
430032011313303202
5203333024302320
610010003250030
7643105253463
oct141605676342
936773066220
1013121322210
11562370a647
122662379916
13131156c6a9
148c690ad6a
1551be19290
hex30e177ce2

13121322210 has 192 divisors, whose sum is σ = 37121041152. Its totient is φ = 3206573568.

The previous prime is 13121322199. The next prime is 13121322239. The reversal of 13121322210 is 1222312131.

13121322210 is a `hidden beast` number, since 1 + 312 + 132 + 221 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5130252 + ... + 5132808.

It is an arithmetic number, because the mean of its divisors is an integer number (193338756).

Almost surely, 213121322210 is an apocalyptic number.

13121322210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121322210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18560520576).

13121322210 is an abundant number, since it is smaller than the sum of its proper divisors (23999718942).

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

13121322210 is a wasteful number, since it uses less digits than its factorization.

13121322210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13121322210 its reverse (1222312131), we get a palindrome (14343634341).

The spelling of 13121322210 in words is "thirteen billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred ten".