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12020113211310 = 232537110316931933
BaseRepresentation
bin1010111011101010011010…
…0100111111111110101110
31120120010000100122002202200
42232322212210333332232
53033414142440230220
641321544102002330
72350265416334361
oct256724644777656
946503010562680
1012020113211310
1139147795a9196
1214216b37163a6
13692651685459
142d7ac2d340d8
1515ca0daa0890
hexaeea693ffae

12020113211310 has 192 divisors, whose sum is σ = 32161656054528. Its totient is φ = 3112453112832.

The previous prime is 12020113211287. The next prime is 12020113211317. The reversal of 12020113211310 is 1311231102021.

12020113211310 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 11 + 321 + 1 + 310 = 666.

It is a super-2 number, since 2×120201132113102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020113211317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6218371104 + ... + 6218373036.

It is an arithmetic number, because the mean of its divisors is an integer number (167508625284).

Almost surely, 212020113211310 is an apocalyptic number.

12020113211310 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 12020113211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16080828027264).

12020113211310 is an abundant number, since it is smaller than the sum of its proper divisors (20141542843218).

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

12020113211310 is a wasteful number, since it uses less digits than its factorization.

12020113211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12020113211310 its reverse (1311231102021), we get a palindrome (13331344313331).

The spelling of 12020113211310 in words is "twelve trillion, twenty billion, one hundred thirteen million, two hundred eleven thousand, three hundred ten".