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211000212122000 = 2453722153063389
BaseRepresentation
bin101111111110011101010000…
…101100001110100110010000
31000200002102102120102122120012
4233332131100230032212100
5210124011413300401000
62024432054223334052
762305155645513500
oct5776352054164620
91020072376378505
10211000212122000
116125a761a846a4
121b7b9308151328
1390973086228c2
143a16671415a00
15195d8ee199735
hexbfe750b0e990

211000212122000 has 120 divisors (see below), whose sum is σ = 593496229580280. Its totient is φ = 72342929836800.

The previous prime is 211000212121939. The next prime is 211000212122053. The reversal of 211000212122000 is 221212000112.

It can be written as a sum of positive squares in 4 ways, for example, as 16648619593984 + 194351592528016 = 4080272^2 + 13941004^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 1076433695 + ... + 1076629694.

It is an arithmetic number, because the mean of its divisors is an integer number (4945801913169).

Almost surely, 2211000212122000 is an apocalyptic number.

211000212122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000212122000 is an abundant number, since it is smaller than the sum of its proper divisors (382496017458280).

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

211000212122000 is a wasteful number, since it uses less digits than its factorization.

211000212122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153063426 (or 2153063403 counting only the distinct ones).

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

Adding to 211000212122000 its reverse (221212000112), we get a palindrome (211221424122112).

The spelling of 211000212122000 in words is "two hundred eleven trillion, two hundred twelve million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 24500 49000 98000 2153063389 4306126778 8612253556 10765316945 15071443723 17224507112 21530633890 30142887446 34449014224 43061267780 53826584725 60285774892 75357218615 86122535560 105500106061 107653169450 120571549784 150714437230 172245071120 211000212122 215306338900 241143099568 269132923625 301428874460 376786093075 422000424244 430612677800 527500530305 538265847250 602857748920 753572186150 844000848488 861225355600 1055001060610 1076531694500 1205715497840 1507144372300 1688001696976 1883930465375 2110002121220 2153063389000 2637502651525 3014288744600 3767860930750 4220004242440 4306126778000 5275005303050 6028577489200 7535721861500 8440008484880 10550010606100 13187513257625 15071443723000 21100021212200 26375026515250 30142887446000 42200042424400 52750053030500 105500106061000 211000212122000