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2111012022200 = 235223900750951
BaseRepresentation
bin11110101110000010000…
…111110010011110111000
321110210220001112212210212
4132232002013302132320
5234041323034202300
64253441401530252
7305341563060404
oct36560207623670
97423801485725
102111012022200
11744303286184
122a11657a3988
131240b561a583
1474260230104
1539da3d7d935
hex1eb821f27b8

2111012022200 has 96 divisors (see below), whose sum is σ = 5122167874560. Its totient is φ = 807586032000.

The previous prime is 2111012022187. The next prime is 2111012022247. The reversal of 2111012022200 is 22202101112.

It is a congruent 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, 41406725 + ... + 41457675.

It is an arithmetic number, because the mean of its divisors is an integer number (53355915360).

Almost surely, 22111012022200 is an apocalyptic number.

2111012022200 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 2111012022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561083937280).

2111012022200 is an abundant number, since it is smaller than the sum of its proper divisors (3011155852360).

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

2111012022200 is a wasteful number, since it uses less digits than its factorization.

2111012022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59997 (or 59988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2111012022200 its reverse (22202101112), we get a palindrome (2133214123312).

The spelling of 2111012022200 in words is "two trillion, one hundred eleven billion, twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 9007 18014 36028 45035 50951 72056 90070 101902 180140 203804 207161 225175 254755 360280 407608 414322 450350 509510 828644 900700 1019020 1035805 1171873 1273775 1657288 1801400 2038040 2071610 2343746 2547550 4143220 4687492 5095100 5179025 5859365 8286440 9374984 10190200 10358050 11718730 20716100 23437460 29296825 41432200 46874920 58593650 117187300 234374600 458915657 917831314 1835662628 2294578285 3671325256 4589156570 9178313140 10555060111 11472891425 18356626280 21110120222 22945782850 42220240444 45891565700 52775300555 84440480888 91783131400 105550601110 211101202220 263876502775 422202404440 527753005550 1055506011100 2111012022200