Search a number
-
+
111000100000200 = 23352414512199187
BaseRepresentation
bin11001001111010000111001…
…100001111101000111001000
3112120000111122211010202002020
4121033100321201331013020
5104022111201100001300
61032024424133404440
732244330645331425
oct3117207141750710
9476014584122066
10111000100000200
1132405972757784
1210548690a99720
1349c23591b08c8
141d5a60d778d4c
15cc7579b2d8a0
hex64f43987d1c8

111000100000200 has 96 divisors (see below), whose sum is σ = 352493000566560. Its totient is φ = 28878074790400.

The previous prime is 111000100000129. The next prime is 111000100000291. The reversal of 111000100000200 is 2000001000111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2256074994 + ... + 2256124193.

It is an arithmetic number, because the mean of its divisors is an integer number (3671802089235).

Almost surely, 2111000100000200 is an apocalyptic number.

111000100000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111000100000200 is an abundant number, since it is smaller than the sum of its proper divisors (241492900566360).

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

111000100000200 is a wasteful number, since it uses less digits than its factorization.

111000100000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512199247 (or 4512199238 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 111000100000200 its reverse (2000001000111), we get a palindrome (113000101000311).

The spelling of 111000100000200 in words is "one hundred eleven trillion, one hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 12300 24600 4512199187 9024398374 13536597561 18048796748 22560995935 27073195122 36097593496 45121991870 54146390244 67682987805 90243983740 108292780488 112804979675 135365975610 180487967480 185000166667 225609959350 270731951220 338414939025 370000333334 451219918700 541463902440 555000500001 676829878050 740000666668 902439837400 925000833335 1110001000002 1353659756100 1480001333336 1850001666670 2220002000004 2707319512200 2775002500005 3700003333340 4440004000008 4625004166675 5550005000010 7400006666680 9250008333350 11100010000020 13875012500025 18500016666700 22200020000040 27750025000050 37000033333400 55500050000100 111000100000200