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211001111010 = 232537274123117
BaseRepresentation
bin1100010010000010100…
…1010111000111100010
3202011122000211000202100
43010200221113013202
511424112241023020
6240533234031230
721146542564644
oct3044051270742
9664560730670
10211001111010
1181537698788
1234a87a18516
1316b88545411
14a2d91a0894
15574e182a90
hex3120a571e2

211001111010 has 96 divisors (see below), whose sum is σ = 563659931952. Its totient is φ = 54723893760.

The previous prime is 211001110967. The next prime is 211001111053. The reversal of 211001111010 is 10111100112.

It is an interprime number because it is at equal distance from previous prime (211001110967) and next prime (211001111053).

It can be written as a sum of positive squares in 8 ways, for example, as 41272766649 + 169728344361 = 203157^2 + 411981^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211001110983 and 211001111001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9115972 + ... + 9139088.

Almost surely, 2211001111010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211001111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281829965976).

211001111010 is an abundant number, since it is smaller than the sum of its proper divisors (352658820942).

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

211001111010 is a wasteful number, since it uses less digits than its factorization.

211001111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25908 (or 25905 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 211001111010 its reverse (10111100112), we get a palindrome (221112211122).

The spelling of 211001111010 in words is "two hundred eleven billion, one million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2741 3330 5482 8223 13705 16446 23117 24669 27410 41115 46234 49338 69351 82230 101417 115585 123345 138702 202834 208053 231170 246690 304251 346755 416106 507085 608502 693510 855329 912753 1014170 1040265 1521255 1710658 1825506 2080530 2565987 3042510 4276645 4563765 5131974 7697961 8553290 9127530 12829935 15395922 25659870 38489805 63363697 76979610 126727394 190091091 316818485 380182182 570273273 633636970 950455455 1140546546 1900910910 2344456789 2851366365 4688913578 5702732730 7033370367 11722283945 14066740734 21100111101 23444567890 35166851835 42200222202 70333703670 105500555505 211001111010