Search a number
-
+
131200111312220 = 225379128211350029
BaseRepresentation
bin11101110101001101101000…
…000001110111110101011100
3122012112121102100011122102002
4131311031220001313311130
5114144040311443442340
61143012255444221432
736430616031433106
oct3565155001676534
9565477370148362
10131200111312220
1138893722501895
121286b56399a878
13582916ac445c2
1424581953c0576
151027c38e20715
hex775368077d5c

131200111312220 has 48 divisors (see below), whose sum is σ = 276268951173600. Its totient is φ = 52337453495040.

The previous prime is 131200111312219. The next prime is 131200111312301. The reversal of 131200111312220 is 22213111002131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131200111312192 and 131200111312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96508166 + ... + 97858194.

It is an arithmetic number, because the mean of its divisors is an integer number (5755603149450).

Almost surely, 2131200111312220 is an apocalyptic number.

131200111312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131200111312220 is an abundant number, since it is smaller than the sum of its proper divisors (145068839861380).

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

131200111312220 is a wasteful number, since it uses less digits than its factorization.

131200111312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363238 (or 1363236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131200111312220 its reverse (22213111002131), we get a palindrome (153413222314351).

The spelling of 131200111312220 in words is "one hundred thirty-one trillion, two hundred billion, one hundred eleven million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 379 758 1516 1895 3790 7580 12821 25642 51284 64105 128210 256420 1350029 2700058 4859159 5400116 6750145 9718318 13500290 19436636 24295795 27000580 48591590 97183180 511660991 1023321982 2046643964 2558304955 5116609910 10233219820 17308721809 34617443618 69234887236 86543609045 173087218090 346174436180 6560005565611 13120011131222 26240022262444 32800027828055 65600055656110 131200111312220