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114231202200 = 233252433146563
BaseRepresentation
bin110101001100010110…
…1011101000110011000
3101220211222011022121200
41222120231131012120
53332421141432300
6124251015034200
711152520124633
oct1523055350630
9356758138550
10114231202200
1144499598a35
121a17b96b960
13aa05cabb4b
14575911cc1a
152e887dc200
hex1a98b5d198

114231202200 has 144 divisors (see below), whose sum is σ = 384515050920. Its totient is φ = 30391096320.

The previous prime is 114231202181. The next prime is 114231202213. The reversal of 114231202200 is 2202132411.

It is a happy number.

114231202200 is a `hidden beast` number, since 1 + 1 + 423 + 1 + 20 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 706119 + ... + 852681.

Almost surely, 2114231202200 is an apocalyptic number.

114231202200 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 114231202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192257525460).

114231202200 is an abundant number, since it is smaller than the sum of its proper divisors (270283848720).

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

114231202200 is a wasteful number, since it uses less digits than its factorization.

114231202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147018 (or 147006 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114231202200 its reverse (2202132411), we get a palindrome (116433334611).

The spelling of 114231202200 in words is "one hundred fourteen billion, two hundred thirty-one million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 433 450 600 866 900 1299 1732 1800 2165 2598 3464 3897 4330 5196 6495 7794 8660 10392 10825 12990 15588 17320 19485 21650 25980 31176 32475 38970 43300 51960 64950 77940 86600 97425 129900 146563 155880 194850 259800 293126 389700 439689 586252 732815 779400 879378 1172504 1319067 1465630 1758756 2198445 2638134 2931260 3517512 3664075 4396890 5276268 5862520 6595335 7328150 8793780 10552536 10992225 13190670 14656300 17587560 21984450 26381340 29312600 32976675 43968900 52762680 63461779 65953350 87937800 126923558 131906700 190385337 253847116 263813400 317308895 380770674 507694232 571156011 634617790 761541348 951926685 1142312022 1269235580 1523082696 1586544475 1903853370 2284624044 2538471160 2855780055 3173088950 3807706740 4569248088 4759633425 5711560110 6346177900 7615413480 9519266850 11423120220 12692355800 14278900275 19038533700 22846240440 28557800550 38077067400 57115601100 114231202200