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131114500 = 22531131769
BaseRepresentation
bin1111101000010…
…10011000000100
3100010201022021121
413310022120010
5232031131000
621002123324
73151312006
oct764123004
9303638247
10131114500
11680132a0
1237ab0544
1321218b5a
14135b0376
15b79db1a
hex7d0a604

131114500 has 96 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 46080000.

The previous prime is 131114491. The next prime is 131114507. The reversal of 131114500 is 5411131.

It is a super-2 number, since 2×1311145002 = 34382024220500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131114507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170116 + ... + 170884.

It is an arithmetic number, because the mean of its divisors is an integer number (3363360).

Almost surely, 2131114500 is an apocalyptic number.

131114500 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 131114500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

131114500 is an abundant number, since it is smaller than the sum of its proper divisors (191768060).

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

131114500 is a wasteful number, since it uses less digits than its factorization.

131114500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 131114500 is about 11450.5240054768. The cubic root of 131114500 is about 508.0232334839.

Adding to 131114500 its reverse (5411131), we get a palindrome (136525631).

The spelling of 131114500 in words is "one hundred thirty-one million, one hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 125 155 220 250 275 310 341 500 550 620 682 769 775 1100 1364 1375 1538 1550 1705 2750 3076 3100 3410 3845 3875 5500 6820 7690 7750 8459 8525 15380 15500 16918 17050 19225 23839 33836 34100 38450 42295 42625 47678 76900 84590 85250 95356 96125 119195 169180 170500 192250 211475 238390 262229 384500 422950 476780 524458 595975 845900 1048916 1057375 1191950 1311145 2114750 2383900 2622290 2979875 4229500 5244580 5959750 6555725 11919500 13111450 26222900 32778625 65557250 131114500