Search a number
-
+
13022220012120 = 233251140159313829
BaseRepresentation
bin1011110101111111100011…
…0011000100101001011000
31201002220121220101002122100
42331133320303010221120
53201324001310341440
643410154132323400
72512552515524004
oct275377063045130
951086556332570
1013022220012120
114170768787780
121563963173560
13735cb4280497
143303c90b7704
15178b10274230
hexbd7f8cc4a58

13022220012120 has 384 divisors, whose sum is σ = 46366230081600. Its totient is φ = 3143491584000.

The previous prime is 13022220012089. The next prime is 13022220012121. The reversal of 13022220012120 is 2121002222031.

13022220012120 is a `hidden beast` number, since 1 + 30 + 222 + 200 + 1 + 212 + 0 = 666.

It is a super-2 number, since 2×130222200121202 (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 junction number, because it is equal to n+sod(n) for n = 13022220012093 and 13022220012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022220012121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 941653366 + ... + 941667194.

Almost surely, 213022220012120 is an apocalyptic number.

13022220012120 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 13022220012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23183115040800).

13022220012120 is an abundant number, since it is smaller than the sum of its proper divisors (33344010069480).

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

13022220012120 is a wasteful number, since it uses less digits than its factorization.

13022220012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14851 (or 14844 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13022220012120 its reverse (2121002222031), we get a palindrome (15143222234151).

The spelling of 13022220012120 in words is "thirteen trillion, twenty-two billion, two hundred twenty million, twelve thousand, one hundred twenty".