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211002012200 = 23527276754469
BaseRepresentation
bin1100010010000010110…
…0110011001000101000
3202011122002111210221202
43010200230303020220
511424113003342300
6240533305223332
721146553340220
oct3044054631050
9664562453852
10211002012200
1181538153871
1234a88191b48
1316b8879c675
14a2d9357080
15574e2aead5
hex3120b33228

211002012200 has 96 divisors (see below), whose sum is σ = 560875411200. Its totient is φ = 72316074240.

The previous prime is 211002012149. The next prime is 211002012223. The reversal of 211002012200 is 2210200112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3846566 + ... + 3901034.

It is an arithmetic number, because the mean of its divisors is an integer number (5842452200).

Almost surely, 2211002012200 is an apocalyptic number.

211002012200 is a gapful number since it is divisible by the number (20) 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 211002012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280437705600).

211002012200 is an abundant number, since it is smaller than the sum of its proper divisors (349873399000).

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

211002012200 is a wasteful number, since it uses less digits than its factorization.

211002012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57259 (or 57250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211002012200 its reverse (2210200112), we get a palindrome (213212212312).

The spelling of 211002012200 in words is "two hundred eleven billion, two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2767 5534 11068 13835 19369 22136 27670 38738 54469 55340 69175 77476 96845 108938 110680 138350 154952 193690 217876 272345 276700 381283 387380 435752 484225 544690 553400 762566 774760 968450 1089380 1361725 1525132 1906415 1936900 2178760 2723450 3050264 3812830 3873800 5446900 7625660 9532075 10893800 15251320 19064150 38128300 76256600 150715723 301431446 602862892 753578615 1055010061 1205725784 1507157230 2110020122 3014314460 3767893075 4220040244 5275050305 6028628920 7535786150 8440080488 10550100610 15071572300 21100201220 26375251525 30143144600 42200402440 52750503050 105501006100 211002012200