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131361570 = 232531197239
BaseRepresentation
bin1111101010001…
…10101100100010
3100011011212012100
413311012230202
5232112032240
621011311230
73153361224
oct765065442
9304155170
10131361570
116817198a
1237bab516
13212a4452
1413636414
15b7ebe30
hex7d46b22

131361570 has 96 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 33586560.

The previous prime is 131361557. The next prime is 131361617. The reversal of 131361570 is 75163131.

131361570 is a `hidden beast` number, since 1 + 31 + 3 + 61 + 570 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549511 + ... + 549749.

It is an arithmetic number, because the mean of its divisors is an integer number (3706560).

Almost surely, 2131361570 is an apocalyptic number.

131361570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131361570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

131361570 is an abundant number, since it is smaller than the sum of its proper divisors (224468190).

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

131361570 is a wasteful number, since it uses less digits than its factorization.

131361570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 131361570 is about 11461.3075170331. The cubic root of 131361570 is about 508.3421367880.

It can be divided in two parts, 13136 and 1570, that added together give a triangular number (14706 = T171).

The spelling of 131361570 in words is "one hundred thirty-one million, three hundred sixty-one thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 197 239 279 310 394 465 478 558 591 717 930 985 1182 1195 1395 1434 1773 1970 2151 2390 2790 2955 3546 3585 4302 5910 6107 7170 7409 8865 10755 12214 14818 17730 18321 21510 22227 30535 36642 37045 44454 47083 54963 61070 66681 74090 91605 94166 109926 111135 133362 141249 183210 222270 235415 274815 282498 333405 423747 470830 549630 666810 706245 847494 1412490 1459573 2118735 2919146 4237470 4378719 7297865 8757438 13136157 14595730 21893595 26272314 43787190 65680785 131361570