Search a number
-
+
112565501700 = 2235217163135409
BaseRepresentation
bin110100011010101101…
…1010011111100000100
3101202112212211222002120
41220311123103330010
53321013232023300
6123413433205540
711063322656151
oct1506533237404
9352485758076
10112565501700
1143814322553
1219995b608b0
13a7cbb81552
14563bc05228
152ddc4613a0
hex1a356d3f04

112565501700 has 144 divisors (see below), whose sum is σ = 346965917760. Its totient is φ = 28078202880.

The previous prime is 112565501693. The next prime is 112565501753. The reversal of 112565501700 is 7105565211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763596 + ... + 899004.

It is an arithmetic number, because the mean of its divisors is an integer number (2409485540).

Almost surely, 2112565501700 is an apocalyptic number.

112565501700 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 112565501700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173482958880).

112565501700 is an abundant number, since it is smaller than the sum of its proper divisors (234400416060).

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

112565501700 is a wasteful number, since it uses less digits than its factorization.

112565501700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135606 (or 135599 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The spelling of 112565501700 in words is "one hundred twelve billion, five hundred sixty-five million, five hundred one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 163 170 204 255 300 326 340 425 489 510 652 815 850 978 1020 1275 1630 1700 1956 2445 2550 2771 3260 4075 4890 5100 5542 8150 8313 9780 11084 12225 13855 16300 16626 24450 27710 33252 41565 48900 55420 69275 83130 135409 138550 166260 207825 270818 277100 406227 415650 541636 677045 812454 831300 1354090 1624908 2031135 2301953 2708180 3385225 4062270 4603906 6770450 6905859 8124540 9207812 10155675 11509765 13540900 13811718 20311350 22071667 23019530 27623436 34529295 40622700 44143334 46039060 57548825 66215001 69058590 88286668 110358335 115097650 132430002 138117180 172646475 220716670 230195300 264860004 331075005 345292950 375218339 441433340 551791675 662150010 690585900 750436678 1103583350 1125655017 1324300020 1500873356 1655375025 1876091695 2207166700 2251310034 3310750050 3752183390 4502620068 5628275085 6621500100 7504366780 9380458475 11256550170 18760916950 22513100340 28141375425 37521833900 56282750850 112565501700