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113023424000 = 29538321277
BaseRepresentation
bin110100101000010111…
…0001001011000000000
3101210201210111211101202
41221100232021120000
53322432444032000
6123531112120332
711110553152454
oct1512056113000
9353653454352
10113023424000
1143a2985a333
1219aa33960a8
13a8729c31a6
145682966664
152e17766dd5
hex1a50b89600

113023424000 has 160 divisors (see below), whose sum is σ = 285239930976. Its totient is φ = 44662579200.

The previous prime is 113023423973. The next prime is 113023424077. The reversal of 113023424000 is 424320311.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5301362 + ... + 5322638.

Almost surely, 2113023424000 is an apocalyptic number.

113023424000 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 113023424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142619965488).

113023424000 is an abundant number, since it is smaller than the sum of its proper divisors (172216506976).

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

113023424000 is an frugal number, since it uses more digits than its factorization.

113023424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21393 (or 21367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 113023424000 its reverse (424320311), we get a palindrome (113447744311).

The spelling of 113023424000 in words is "one hundred thirteen billion, twenty-three million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 125 128 160 166 200 250 256 320 332 400 415 500 512 640 664 800 830 1000 1280 1328 1600 1660 2000 2075 2560 2656 3200 3320 4000 4150 5312 6400 6640 8000 8300 10375 10624 12800 13280 16000 16600 20750 21248 21277 26560 32000 33200 41500 42496 42554 53120 64000 66400 83000 85108 106240 106385 132800 166000 170216 212480 212770 265600 332000 340432 425540 531200 531925 664000 680864 851080 1062400 1063850 1328000 1361728 1702160 1765991 2127700 2656000 2659625 2723456 3404320 3531982 4255400 5312000 5319250 5446912 6808640 7063964 8510800 8829955 10638500 10893824 13617280 14127928 17021600 17659910 21277000 27234560 28255856 34043200 35319820 42554000 44149775 54469120 56511712 68086400 70639640 85108000 88299550 113023424 136172800 141279280 170216000 176599100 220748875 226046848 272345600 282558560 340432000 353198200 441497750 452093696 565117120 680864000 706396400 882995500 904187392 1130234240 1361728000 1412792800 1765991000 2260468480 2825585600 3531982000 4520936960 5651171200 7063964000 11302342400 14127928000 22604684800 28255856000 56511712000 113023424000