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131111303100 = 223521923001983
BaseRepresentation
bin111101000011011010…
…1111011011110111100
3110112102101001021212220
41322012311323132330
54122003443144400
6140122014125340
712321026455041
oct1720665733674
9415371037786
10131111303100
1150670a04648
12214b0ab0850
13c4961b222b
1464bad0b1c8
1536256cd7a0
hex1e86d7b7bc

131111303100 has 72 divisors (see below), whose sum is σ = 399314442240. Its totient is φ = 33122854080.

The previous prime is 131111303077. The next prime is 131111303123. The reversal of 131111303100 is 1303111131.

It is an interprime number because it is at equal distance from previous prime (131111303077) and next prime (131111303123).

It is a super-2 number, since 2×1311113031002 (a number of 23 digits) contains 22 as substring.

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 131111303100.

It is a congruent number.

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, 11495292 + ... + 11506691.

It is an arithmetic number, because the mean of its divisors is an integer number (5546033920).

Almost surely, 2131111303100 is an apocalyptic number.

131111303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131111303100 is an abundant number, since it is smaller than the sum of its proper divisors (268203139140).

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

131111303100 is a wasteful number, since it uses less digits than its factorization.

131111303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23002019 (or 23002012 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 131111303100 its reverse (1303111131), we get a palindrome (132414414231).

The spelling of 131111303100 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 23001983 46003966 69005949 92007932 115009915 138011898 230019830 276023796 345029745 437037677 460039660 575049575 690059490 874075354 1150099150 1311113031 1380118980 1725148725 1748150708 2185188385 2300198300 2622226062 3450297450 4370376770 5244452124 6555565155 6900594900 8740753540 10925941925 13111130310 21851883850 26222260620 32777825775 43703767700 65555651550 131111303100