Search a number
-
+
13212021211320 = 23352337435995023
BaseRepresentation
bin1100000001000010100111…
…0101001100000010111000
31201210001112110211000120210
43000100221311030002320
53212431204412230240
644033304014551120
72532352126224621
oct300205165140270
951701473730523
1013212021211320
11423420659a988
1215946b32084a0
1374ab71657989
14339672886a48
1517da1d16b780
hexc0429d4c0b8

13212021211320 has 512 divisors, whose sum is σ = 43546263552000. Its totient is φ = 3196703397888.

The previous prime is 13212021211223. The next prime is 13212021211351. The reversal of 13212021211320 is 2311212021231.

It is a super-2 number, since 2×132120212113202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2630302329 + ... + 2630307351.

It is an arithmetic number, because the mean of its divisors is an integer number (85051296000).

Almost surely, 213212021211320 is an apocalyptic number.

13212021211320 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 13212021211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21773131776000).

13212021211320 is an abundant number, since it is smaller than the sum of its proper divisors (30334242340680).

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

13212021211320 is a wasteful number, since it uses less digits than its factorization.

13212021211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13212021211320 its reverse (2311212021231), we get a palindrome (15523233232551).

The spelling of 13212021211320 in words is "thirteen trillion, two hundred twelve billion, twenty-one million, two hundred eleven thousand, three hundred twenty".