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131222101200 = 24352472326633
BaseRepresentation
bin111101000110101110…
…0100101110011010000
3110112201002112102022020
41322031130211303100
54122220324214300
6140141013011440
712323543312421
oct1721534456320
9415632472266
10131222101200
1150718500923
1221522023b80
13c4b3136938
1464cb90d648
1536302b78a0
hex1e8d725cd0

131222101200 has 120 divisors (see below), whose sum is σ = 429291892608. Its totient is φ = 34248023040.

The previous prime is 131222101187. The next prime is 131222101267. The reversal of 131222101200 is 2101222131.

131222101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131222101200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106917 + ... + 1219716.

Almost surely, 2131222101200 is an apocalyptic number.

131222101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131222101200 is an abundant number, since it is smaller than the sum of its proper divisors (298069791408).

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

131222101200 is a wasteful number, since it uses less digits than its factorization.

131222101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326701 (or 2326690 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 131222101200 its reverse (2101222131), we get a palindrome (133323323331).

The spelling of 131222101200 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 141 150 188 200 235 240 282 300 376 400 470 564 600 705 752 940 1128 1175 1200 1410 1880 2256 2350 2820 3525 3760 4700 5640 7050 9400 11280 14100 18800 28200 56400 2326633 4653266 6979899 9306532 11633165 13959798 18613064 23266330 27919596 34899495 37226128 46532660 55839192 58165825 69798990 93065320 109351751 111678384 116331650 139597980 174497475 186130640 218703502 232663300 279195960 328055253 348994950 437407004 465326600 546758755 558391920 656110506 697989900 874814008 930653200 1093517510 1312221012 1395979800 1640276265 1749628016 2187035020 2624442024 2733793775 2791959600 3280552530 4374070040 5248884048 5467587550 6561105060 8201381325 8748140080 10935175100 13122210120 16402762650 21870350200 26244420240 32805525300 43740700400 65611050600 131222101200