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211000122102 = 237112151274961
BaseRepresentation
bin1100010010000010010…
…1100101101011110110
3202011121221221210020010
43010200211211223312
511424112012401402
6240533200521050
721146531305560
oct3044045455366
9664557853203
10211000122102
1181537082800
1234a87620186
1316b8828a273
14a2d8dc4330
15574e039a6c
hex3120965af6

211000122102 has 96 divisors (see below), whose sum is σ = 533628652032. Its totient is φ = 54442080000.

The previous prime is 211000122089. The next prime is 211000122103. The reversal of 211000122102 is 201221000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000122103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629902 + ... + 904862.

It is an arithmetic number, because the mean of its divisors is an integer number (5558631792).

Almost surely, 2211000122102 is an apocalyptic number.

211000122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211000122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266814326016).

211000122102 is an abundant number, since it is smaller than the sum of its proper divisors (322628529930).

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

211000122102 is a wasteful number, since it uses less digits than its factorization.

211000122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275146 (or 275135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211000122102 its reverse (201221000112), we get a palindrome (412221122214).

The spelling of 211000122102 in words is "two hundred eleven billion, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 151 154 231 242 302 363 453 462 726 847 906 1057 1661 1694 2114 2541 3171 3322 4983 5082 6342 9966 11627 18271 23254 34881 36542 54813 69762 109626 127897 255794 274961 383691 549922 767382 824883 1649766 1924727 3024571 3849454 5774181 6049142 9073713 11548362 18147426 21171997 33270281 41519111 42343994 63515991 66540562 83038222 99810843 124557333 127031982 199621686 232891967 249114666 290633777 456710221 465783934 581267554 698675901 871901331 913420442 1370130663 1397351802 1743802662 2740261326 3196971547 5023812431 6393943094 9590914641 10047624862 15071437293 19181829282 30142874586 35166687017 70333374034 105500061051 211000122102