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131105394 = 23271797631
BaseRepresentation
bin1111101000010…
…00001001110010
3100010200211210100
413310020021302
5232030333034
621002013230
73151243320
oct764101162
9303624710
10131105394
1168007472
1237aa7216
1321214974
14135aad10
15b79b099
hex7d08272

131105394 has 96 divisors (see below), whose sum is σ = 347832576. Its totient is φ = 34836480.

The previous prime is 131105369. The next prime is 131105423. The reversal of 131105394 is 493501131.

131105394 is a `hidden beast` number, since 13 + 110 + 539 + 4 = 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, 207459 + ... + 208089.

It is an arithmetic number, because the mean of its divisors is an integer number (3623256).

Almost surely, 2131105394 is an apocalyptic number.

131105394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131105394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173916288).

131105394 is an abundant number, since it is smaller than the sum of its proper divisors (216727182).

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

131105394 is a wasteful number, since it uses less digits than its factorization.

131105394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 131105394 is about 11450.1263748484. The cubic root of 131105394 is about 508.0114723472.

The spelling of 131105394 in words is "one hundred thirty-one million, one hundred five thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 97 102 119 126 153 194 238 291 306 357 582 631 679 714 873 1071 1262 1358 1649 1746 1893 2037 2142 3298 3786 4074 4417 4947 5679 6111 8834 9894 10727 11358 11543 12222 13251 14841 21454 23086 26502 29682 32181 34629 39753 61207 64362 69258 75089 79506 96543 103887 122414 150178 183621 193086 207774 225267 367242 428449 450534 550863 675801 856898 1040519 1101726 1285347 1351602 2081038 2570694 3121557 3856041 6243114 7283633 7712082 9364671 14567266 18729342 21850899 43701798 65552697 131105394