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13022022101220 = 223351110333212161
BaseRepresentation
bin1011110101111110110100…
…0000000110100011100100
31201002220010002222011221000
42331133231000012203210
53201323100124214340
643410122342353300
72512544563360206
oct275375500064344
951086102864830
1013022022101220
114170676aa1350
121563908a2b830
13735c82278042
143303aaaba776
15178aecbcdd30
hexbd7ed0068e4

13022022101220 has 192 divisors, whose sum is σ = 44200439297280. Its totient is φ = 3156533452800.

The previous prime is 13022022101189. The next prime is 13022022101267. The reversal of 13022022101220 is 2210122022031.

13022022101220 is a `hidden beast` number, since 1 + 3 + 0 + 220 + 221 + 0 + 1 + 220 = 666.

13022022101220 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 = 13022022101193 and 13022022101202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61271940 + ... + 61484100.

It is an arithmetic number, because the mean of its divisors is an integer number (230210621340).

Almost surely, 213022022101220 is an apocalyptic number.

13022022101220 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 13022022101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100219648640).

13022022101220 is an abundant number, since it is smaller than the sum of its proper divisors (31178417196060).

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

13022022101220 is a wasteful number, since it uses less digits than its factorization.

13022022101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222523 (or 222515 counting only the distinct ones).

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

Adding to 13022022101220 its reverse (2210122022031), we get a palindrome (15232144123251).

The spelling of 13022022101220 in words is "thirteen trillion, twenty-two billion, twenty-two million, one hundred one thousand, two hundred twenty".