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13131223223322 = 2310139769777823
BaseRepresentation
bin1011111100010101100111…
…1001010100110000011010
31201111022222112010221211210
42333011121321110300122
53210120221121121242
643532222313403550
72523461644526451
oct277053171246032
951438875127753
1013131223223322
114202a141a7696
121580b041095b6
137433660c5a19
143357a9b47b98
1517b88eac1d9c
hexbf159e54c1a

13131223223322 has 64 divisors (see below), whose sum is σ = 26596488236544. Its totient is φ = 4321648742400.

The previous prime is 13131223223317. The next prime is 13131223223323. The reversal of 13131223223322 is 22332232213131.

It is a super-2 number, since 2×131312232233222 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13131223223322.

It is not an unprimeable number, because it can be changed into a prime (13131223223323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1678536703 + ... + 1678544525.

It is an arithmetic number, because the mean of its divisors is an integer number (415570128696).

Almost surely, 213131223223322 is an apocalyptic number.

13131223223322 is an abundant number, since it is smaller than the sum of its proper divisors (13465265013222).

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

13131223223322 is a wasteful number, since it uses less digits than its factorization.

13131223223322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303.

The product of its digits is 15552, while the sum is 30.

Adding to 13131223223322 its reverse (22332232213131), we get a palindrome (35463455436453).

The spelling of 13131223223322 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twenty-three million, two hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 101 202 303 397 606 794 1191 2382 6977 7823 13954 15646 20931 23469 40097 41862 46938 80194 120291 240582 704677 790123 1409354 1580246 2114031 2370369 2769869 3105731 4228062 4740738 5539738 6211462 8309607 9317193 16619214 18634386 54581071 109162142 163743213 279756769 313678831 327486426 559513538 627357662 839270307 941036493 1678540614 1882072986 5512688171 11025376342 16538064513 21668685187 33076129026 43337370374 65006055561 130012111122 2188537203887 4377074407774 6565611611661 13131223223322