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131302220 = 225717431283
BaseRepresentation
bin1111101001110…
…00001101001100
3100011001211210012
413310320031030
5232103132340
621010132352
73153023210
oct764701514
9304054705
10131302220
1168131335
1237b810b8
132128342a
141361c940
15b7d9565
hex7d3834c

131302220 has 96 divisors (see below), whose sum is σ = 341687808. Its totient is φ = 41352192.

The previous prime is 131302211. The next prime is 131302229. The reversal of 131302220 is 22203131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131302211) and next prime (131302229).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 131302195 and 131302204.

It is not an unprimeable number, because it can be changed into a prime (131302229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101699 + ... + 102981.

It is an arithmetic number, because the mean of its divisors is an integer number (3559248).

Almost surely, 2131302220 is an apocalyptic number.

131302220 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 131302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170843904).

131302220 is an abundant number, since it is smaller than the sum of its proper divisors (210385588).

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

131302220 is a wasteful number, since it uses less digits than its factorization.

131302220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131302220 is about 11458.7180783890. The cubic root of 131302220 is about 508.2655678426.

Adding to 131302220 its reverse (22203131), we get a palindrome (153505351).

The spelling of 131302220 in words is "one hundred thirty-one million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 43 68 70 85 86 119 140 170 172 215 238 301 340 430 476 595 602 731 860 1190 1204 1283 1462 1505 2380 2566 2924 3010 3655 5117 5132 6020 6415 7310 8981 10234 12830 14620 17962 20468 21811 25585 25660 35924 43622 44905 51170 55169 87244 89810 102340 109055 110338 152677 179620 218110 220676 275845 305354 386183 436220 551690 610708 763385 772366 937873 1103380 1526770 1544732 1875746 1930915 3053540 3751492 3861830 4689365 6565111 7723660 9378730 13130222 18757460 26260444 32825555 65651110 131302220