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13022101121220 = 2232572345006229
BaseRepresentation
bin1011110101111111000110…
…1101100010100011000100
31201002220022121122210222200
42331133301231202203010
53201323230341334340
643410134244154500
72512546543132212
oct275376155424304
951086277583880
1013022101121220
114170707663234
12156392b398a30
13735c95754339
143303b73a9cb2
15178b04adc330
hexbd7f1b628c4

13022101121220 has 36 divisors (see below), whose sum is σ = 39500373401580. Its totient is φ = 3472560298944.

The previous prime is 13022101121201. The next prime is 13022101121243. The reversal of 13022101121220 is 2212110122031.

13022101121220 is a `hidden beast` number, since 1 + 302 + 21 + 0 + 1 + 121 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4891254177924 + 8130846943296 = 2211618^2 + 2851464^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130221011212202 (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 = 13022101121193 and 13022101121202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36172502935 + ... + 36172503294.

Almost surely, 213022101121220 is an apocalyptic number.

13022101121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022101121220 is an abundant number, since it is smaller than the sum of its proper divisors (26478272280360).

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

13022101121220 is a wasteful number, since it uses less digits than its factorization.

13022101121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72345006244 (or 72345006239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13022101121220 its reverse (2212110122031), we get a palindrome (15234211243251).

The spelling of 13022101121220 in words is "thirteen trillion, twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72345006229 144690012458 217035018687 289380024916 361725031145 434070037374 651105056061 723450062290 868140074748 1085175093435 1302210112122 1446900124580 2170350186870 2604420224244 3255525280305 4340700373740 6511050560610 13022101121220