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131223201220 = 225617910912491
BaseRepresentation
bin111101000110110000…
…0110010010111000100
3110112201011121022020201
41322031200302113010
54122221114414340
6140141052340244
712323555543446
oct1721540622704
9415634538221
10131223201220
1150719092331
1221522474684
13c4b3430537
1464cbb18496
15363043379a
hex1e8d8325c4

131223201220 has 96 divisors (see below), whose sum is σ = 286256678400. Its totient is φ = 50503564800.

The previous prime is 131223201191. The next prime is 131223201247. The reversal of 131223201220 is 22102322131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10499175 + ... + 10511665.

It is an arithmetic number, because the mean of its divisors is an integer number (2981840400).

Almost surely, 2131223201220 is an apocalyptic number.

131223201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223201220 is an abundant number, since it is smaller than the sum of its proper divisors (155033477180).

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

131223201220 is a wasteful number, since it uses less digits than its factorization.

131223201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 131223201220 its reverse (22102322131), we get a palindrome (153325523351).

The spelling of 131223201220 in words is "one hundred thirty-one billion, two hundred twenty-three million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 79 109 122 158 218 244 305 316 395 436 545 610 790 1090 1220 1580 2180 4819 6649 8611 9638 12491 13298 17222 19276 24095 24982 26596 33245 34444 43055 48190 49964 62455 66490 86110 96380 124910 132980 172220 249820 525271 761951 986789 1050542 1361519 1523902 1973578 2101084 2626355 2723038 3047804 3809755 3947156 4933945 5252710 5446076 6807595 7619510 9867890 10505420 13615190 15239020 19735780 27230380 60194129 83052659 107560001 120388258 166105318 215120002 240776516 300970645 332210636 415263295 430240004 537800005 601941290 830526590 1075600010 1203882580 1661053180 2151200020 6561160061 13122320122 26244640244 32805800305 65611600610 131223201220