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131021320200 = 23352317044157
BaseRepresentation
bin111101000000101111…
…0101011000000001000
3110112012002201200112220
41322001132223000020
54121312424221300
6140105041334040
712315554563161
oct1720136530010
9415162650486
10131021320200
1150625135111
1221486937320
13c480668004
1464acda6768
15361c856da0
hex1e817ab008

131021320200 has 96 divisors (see below), whose sum is σ = 419268284160. Its totient is φ = 33811948800.

The previous prime is 131021320163. The next prime is 131021320223. The reversal of 131021320200 is 2023120131.

131021320200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 131021320200.

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, 3503479 + ... + 3540678.

It is an arithmetic number, because the mean of its divisors is an integer number (4367377960).

Almost surely, 2131021320200 is an apocalyptic number.

131021320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021320200 is an abundant number, since it is smaller than the sum of its proper divisors (288246963960).

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

131021320200 is a wasteful number, since it uses less digits than its factorization.

131021320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044207 (or 7044198 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131021320200 its reverse (2023120131), we get a palindrome (133044440331).

The spelling of 131021320200 in words is "one hundred thirty-one billion, twenty-one million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 7044157 14088314 21132471 28176628 35220785 42264942 56353256 70441570 84529884 105662355 140883140 169059768 176103925 211324710 218368867 281766280 352207850 422649420 436737734 528311775 655106601 704415700 845298840 873475468 1056623550 1091844335 1310213202 1408831400 1746950936 2113247100 2183688670 2620426404 3275533005 4226494200 4367377340 5240852808 5459221675 6551066010 8734754680 10918443350 13102132020 16377665025 21836886700 26204264040 32755330050 43673773400 65510660100 131021320200