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115131232000 = 285310613391
BaseRepresentation
bin110101100111001011…
…0110010111100000000
3102000011200201120101201
41223032112302330000
53341242043411000
6124520205510544
711214026216341
oct1531626627400
9360150646351
10115131232000
1144910640714
121a391272454
13ab1a5b5c65
1458028860c8
152edc82296a
hex1ace5b2f00

115131232000 has 144 divisors (see below), whose sum is σ = 287161265664. Its totient is φ = 45995520000.

The previous prime is 115131231983. The next prime is 115131232001. The reversal of 115131232000 is 232131511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115131232001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33950305 + ... + 33953695.

It is an arithmetic number, because the mean of its divisors is an integer number (1994175456).

Almost surely, 2115131232000 is an apocalyptic number.

115131232000 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 115131232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143580632832).

115131232000 is an abundant number, since it is smaller than the sum of its proper divisors (172030033664).

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

115131232000 is an equidigital number, since it uses as much as digits as its factorization.

115131232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 115131232000 its reverse (232131511), we get a palindrome (115363363511).

The spelling of 115131232000 in words is "one hundred fifteen billion, one hundred thirty-one million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1061 1280 1600 2000 2122 3200 3391 4000 4244 5305 6400 6782 8000 8488 10610 13564 16000 16955 16976 21220 26525 27128 32000 33910 33952 42440 53050 54256 67820 67904 84775 84880 106100 108512 132625 135640 135808 169550 169760 212200 217024 265250 271280 271616 339100 339520 423875 424400 434048 530500 542560 678200 679040 847750 848800 868096 1061000 1085120 1356400 1358080 1695500 1697600 2122000 2170240 2712800 3391000 3395200 3597851 4244000 4340480 5425600 6782000 6790400 7195702 8488000 10851200 13564000 14391404 16976000 17989255 21702400 27128000 28782808 33952000 35978510 54256000 57565616 71957020 89946275 108512000 115131232 143914040 179892550 230262464 287828080 359785100 449731375 460524928 575656160 719570200 899462750 921049856 1151312320 1439140400 1798925500 2302624640 2878280800 3597851000 4605249280 5756561600 7195702000 11513123200 14391404000 23026246400 28782808000 57565616000 115131232000