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131133040220 = 225713191377231
BaseRepresentation
bin111101000100000100…
…0110110011001011100
3110112110212221122121102
41322020020312121130
54122030024241340
6140124112052232
712321412310420
oct1721010663134
9415425848542
10131133040220
1150682201006
12214b8234078
13c49a853230
1464bdb68b80
153627574215
hex1e8823665c

131133040220 has 96 divisors (see below), whose sum is σ = 340703870976. Its totient is φ = 41284051200.

The previous prime is 131133040219. The next prime is 131133040307. The reversal of 131133040220 is 22040331131.

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 = 131133040192 and 131133040201.

It is a congruent number.

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, 159005 + ... + 536235.

It is an arithmetic number, because the mean of its divisors is an integer number (3548998656).

Almost surely, 2131133040220 is an apocalyptic number.

131133040220 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 131133040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170351935488).

131133040220 is an abundant number, since it is smaller than the sum of its proper divisors (209570830756).

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

131133040220 is a wasteful number, since it uses less digits than its factorization.

131133040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377451 (or 377449 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131133040220 its reverse (22040331131), we get a palindrome (153173371351).

The spelling of 131133040220 in words is "one hundred thirty-one billion, one hundred thirty-three million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 191 260 364 382 455 764 910 955 1337 1820 1910 2483 2674 3820 4966 5348 6685 9932 12415 13370 17381 24830 26740 34762 49660 69524 86905 173810 347620 377231 754462 1508924 1886155 2640617 3772310 4904003 5281234 7544620 9808006 10562468 13203085 19616012 24520015 26406170 34328021 49040030 52812340 68656042 72051121 98080060 137312084 144102242 171640105 288204484 343280210 360255605 504357847 686560420 720511210 936664573 1008715694 1441022420 1873329146 2017431388 2521789235 3746658292 4683322865 5043578470 6556652011 9366645730 10087156940 13113304022 18733291460 26226608044 32783260055 65566520110 131133040220