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131311103220220 = 225711390721824149
BaseRepresentation
bin11101110110110100111111…
…101010011001100111111100
3122012221012220120000202202111
4131312310333222121213330
5114202400114411021340
61143135253230103404
736441625356202450
oct3566647752314774
9565835816022674
10131311103220220
11389267a9549080
1212888b7a94ab64
135836778aa7401
14245d6c4206660
15102aa8314baea
hex776d3fa999fc

131311103220220 has 96 divisors (see below), whose sum is σ = 343884353702400. Its totient is φ = 40917658602240.

The previous prime is 131311103220161. The next prime is 131311103220259. The reversal of 131311103220220 is 22022301113131.

It is a super-2 number, since 2×1313111032202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131311103220191 and 131311103220200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4895295 + ... + 16928854.

It is an arithmetic number, because the mean of its divisors is an integer number (3582128684400).

Almost surely, 2131311103220220 is an apocalyptic number.

131311103220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311103220220 is an abundant number, since it is smaller than the sum of its proper divisors (212573250482180).

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

131311103220220 is a wasteful number, since it uses less digits than its factorization.

131311103220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21828083 (or 21828081 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131311103220220 its reverse (22022301113131), we get a palindrome (153333404333351).

The spelling of 131311103220220 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred three million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3907 7814 15628 19535 27349 39070 42977 54698 78140 85954 109396 136745 171908 214885 273490 300839 429770 546980 601678 859540 1203356 1504195 3008390 6016780 21824149 43648298 87296596 109120745 152769043 218241490 240065639 305538086 436482980 480131278 611076172 763845215 960262556 1200328195 1527690430 1680459473 2400656390 3055380860 3360918946 4801312780 6721837892 8402297365 16804594730 33609189460 85266950143 170533900286 341067800572 426334750715 596868651001 852669501430 937936451573 1193737302002 1705339002860 1875872903146 2387474604004 2984343255005 3751745806292 4689682257865 5968686510010 6565555161011 9379364515730 11937373020020 13131110322022 18758729031460 26262220644044 32827775805055 65655551610110 131311103220220