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131222133100 = 225267130315031
BaseRepresentation
bin111101000110101110…
…0101101100101101100
3110112201002121001001201
41322031130231211230
54122220331224400
6140141013415244
712323543504422
oct1721534554554
9415632531051
10131222133100
1150718522893
122152203a524
13c4b3148306
1464cb91b112
1536302c206a
hex1e8d72d96c

131222133100 has 72 divisors (see below), whose sum is σ = 289243098368. Its totient is φ = 51662318400.

The previous prime is 131222133079. The next prime is 131222133131. The reversal of 131222133100 is 1331222131.

It is a super-2 number, since 2×1312221331002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8722585 + ... + 8737615.

Almost surely, 2131222133100 is an apocalyptic number.

131222133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144621549184).

131222133100 is an abundant number, since it is smaller than the sum of its proper divisors (158020965268).

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

131222133100 is a wasteful number, since it uses less digits than its factorization.

131222133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16415 (or 16408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131222133100 its reverse (1331222131), we get a palindrome (132553355231).

The spelling of 131222133100 in words is "one hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1303 1340 1675 2606 3350 5212 6515 6700 13030 15031 26060 30062 32575 60124 65150 75155 87301 130300 150310 174602 300620 349204 375775 436505 751550 873010 1007077 1503100 1746020 2014154 2182525 4028308 4365050 5035385 8730100 10070770 19585393 20141540 25176925 39170786 50353850 78341572 97926965 100707700 195853930 391707860 489634825 979269650 1312221331 1958539300 2624442662 5248885324 6561106655 13122213310 26244426620 32805533275 65611066550 131222133100