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211312213112 = 237111326387639
BaseRepresentation
bin1100010011001100110…
…0000111110001111000
3202012102201012122121102
43010303030013301320
511430231411304422
6241024150030532
721160341114110
oct3046314076170
9665381178542
10211312213112
1181687265360
1234b54048448
1316c07b2c5c0
14a328624040
15576b636192
hex3133307c78

211312213112 has 64 divisors (see below), whose sum is σ = 531974822400. Its totient is φ = 75996397440.

The previous prime is 211312213109. The next prime is 211312213141.

211312213112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13185812 + ... + 13201827.

It is an arithmetic number, because the mean of its divisors is an integer number (8312106600).

Almost surely, 2211312213112 is an apocalyptic number.

211312213112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211312213112 is an abundant number, since it is smaller than the sum of its proper divisors (320662609288).

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

211312213112 is a wasteful number, since it uses less digits than its factorization.

211312213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26387676 (or 26387672 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 211312 and 213112, that added together give a palindrome (424424).

The spelling of 211312213112 in words is "two hundred eleven billion, three hundred twelve million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 26387639 52775278 105550556 184713473 211101112 290264029 343039307 369426946 580528058 686078614 738853892 1161056116 1372157228 1477707784 2031848203 2322112232 2401275149 2744314456 3773432377 4063696406 4802550298 7546864754 8127392812 9605100596 15093729508 16254785624 19210201192 26414026639 30187459016 52828053278 105656106556 211312213112