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131320020 = 223513198861
BaseRepresentation
bin1111101001111…
…00100011010100
3100011002202012110
413310330203110
5232104220040
621010351020
73153126126
oct764744324
9304082173
10131320020
1168143747
1237b8b470
132128b570
1413625216
15b7de980
hex7d3c8d4

131320020 has 96 divisors (see below), whose sum is σ = 416868480. Its totient is φ = 30620160.

The previous prime is 131320009. The next prime is 131320031. The reversal of 131320020 is 20023131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131320009) and next prime (131320031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131319978 and 131320005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10390 + ... + 19250.

It is an arithmetic number, because the mean of its divisors is an integer number (4342380).

Almost surely, 2131320020 is an apocalyptic number.

131320020 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 131320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208434240).

131320020 is an abundant number, since it is smaller than the sum of its proper divisors (285548460).

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

131320020 is a wasteful number, since it uses less digits than its factorization.

131320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 131320020 is about 11459.4947532603. The cubic root of 131320020 is about 508.2885344975.

Adding to 131320020 its reverse (20023131), we get a palindrome (151343151).

The spelling of 131320020 in words is "one hundred thirty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 8861 14820 17722 26583 35444 44305 53166 88610 106332 115193 132915 168359 177220 230386 265830 336718 345579 460772 505077 531660 575965 673436 691158 841795 1010154 1151930 1382316 1683590 1727895 2020308 2188667 2303860 2525385 3367180 3455790 4377334 5050770 6566001 6911580 8754668 10101540 10943335 13132002 21886670 26264004 32830005 43773340 65660010 131320020