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211213311114 = 231321912813881
BaseRepresentation
bin1100010010110101001…
…0110101110010001010
3202012011211002220120110
43010231102311302022
511430031101423424
6241010254135150
721155030344101
oct3045522656212
9665154086513
10211213311114
1181636453873
1234b26ab14b6
1316bc04b1800
14a31943b038
155762aebc29
hex312d4b5c8a

211213311114 has 96 divisors (see below), whose sum is σ = 461570669568. Its totient is φ = 64401792000.

The previous prime is 211213311107. The next prime is 211213311131. The reversal of 211213311114 is 411113312112.

It is a happy number.

211213311114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112133111142 (a number of 23 digits) contains 22 as substring.

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, 54420454 + ... + 54424334.

It is an arithmetic number, because the mean of its divisors is an integer number (4808027808).

Almost surely, 2211213311114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211213311114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230785334784).

211213311114 is an abundant number, since it is smaller than the sum of its proper divisors (250357358454).

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

211213311114 is a wasteful number, since it uses less digits than its factorization.

211213311114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4371 counting only the distinct ones).

The product of its digits is 144, while the sum is 21.

Adding to 211213311114 its reverse (411113312112), we get a palindrome (622326623226).

The spelling of 211213311114 in words is "two hundred eleven billion, two hundred thirteen million, three hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 191 281 338 382 507 562 573 843 1014 1146 1686 2483 3653 3881 4966 7306 7449 7762 10959 11643 14898 21918 23286 32279 47489 50453 53671 64558 94978 96837 100906 107342 142467 151359 161013 193674 284934 302718 322026 655889 697723 741271 1090561 1311778 1395446 1482542 1967667 2093169 2181122 2223813 3271683 3935334 4186338 4447626 6543366 9070399 9636523 14177293 18140798 19273046 27211197 28354586 28909569 42531879 54422394 57819138 85063758 125274799 184304809 208297151 250549598 368609618 375824397 416594302 552914427 624891453 751648794 1105828854 1249782906 2707862963 5415725926 8123588889 16247177778 35202218519 70404437038 105606655557 211213311114