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211010012110000 = 245428175092531
BaseRepresentation
bin101111111110100110011000…
…110100001101110010110000
31000200010100201112211121210201
4233332212120310031302300
5210124142001100010000
62024440354503204544
762305653544161205
oct5776463064156260
91020110645747721
10211010012110000
11612639308a8734
121b7bb1a2146754
13909820aa5047c
143a16d20b91cac
15195dcc46e996a
hexbfe998d0dcb0

211010012110000 has 100 divisors (see below), whose sum is σ = 512694412415064. Its totient is φ = 84103633600000.

The previous prime is 211010012109929. The next prime is 211010012110003. The reversal of 211010012110000 is 11210010112.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211010012110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34736266 + ... + 40356265.

Almost surely, 2211010012110000 is an apocalyptic number.

211010012110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010012110000 is an abundant number, since it is smaller than the sum of its proper divisors (301684400305064).

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

211010012110000 is an equidigital number, since it uses as much as digits as its factorization.

211010012110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75092840 (or 75092819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 211010012110000 its reverse (11210010112), we get a palindrome (211021222120112).

The spelling of 211010012110000 in words is "two hundred eleven trillion, ten billion, twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 281 400 500 562 625 1000 1124 1250 1405 2000 2248 2500 2810 4496 5000 5620 7025 10000 11240 14050 22480 28100 35125 56200 70250 112400 140500 175625 281000 351250 562000 702500 1405000 2810000 75092531 150185062 300370124 375462655 600740248 750925310 1201480496 1501850620 1877313275 3003701240 3754626550 6007402480 7509253100 9386566375 15018506200 18773132750 21101001211 30037012400 37546265500 42202002422 46932831875 75092531000 84404004844 93865663750 105505006055 150185062000 168808009688 187731327500 211010012110 337616019376 375462655000 422020024220 527525030275 750925310000 844040048440 1055050060550 1688080096880 2110100121100 2637625151375 4220200242200 5275250302750 8440400484400 10550500605500 13188125756875 21101001211000 26376251513750 42202002422000 52752503027500 105505006055000 211010012110000