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11311123212 = 22324713151031
BaseRepresentation
bin10101000100011001…
…00000101100001100
31002012021212121001100
422202030200230030
5141131121420322
65110220343100
7550204650414
oct124214405414
932167777040
1011311123212
11488491a314
1222380a4a90
1310b351b31c
1479433b644
15463048dac
hex2a2320b0c

11311123212 has 72 divisors (see below), whose sum is σ = 29423826432. Its totient is φ = 3661912800.

The previous prime is 11311123183. The next prime is 11311123223. The reversal of 11311123212 is 21232111311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196137 + ... + 247167.

It is an arithmetic number, because the mean of its divisors is an integer number (408664256).

Almost surely, 211311123212 is an apocalyptic number.

11311123212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711913216).

11311123212 is an abundant number, since it is smaller than the sum of its proper divisors (18112703220).

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

11311123212 is a wasteful number, since it uses less digits than its factorization.

11311123212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51219 (or 51214 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11311123212 its reverse (21232111311), we get a palindrome (32543234523).

The spelling of 11311123212 in words is "eleven billion, three hundred eleven million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 131 141 188 262 282 393 423 524 564 786 846 1179 1572 1692 2358 4716 6157 12314 18471 24628 36942 51031 55413 73884 102062 110826 153093 204124 221652 306186 459279 612372 918558 1837116 2398457 4796914 6685061 7195371 9593828 13370122 14390742 20055183 21586113 26740244 28781484 40110366 43172226 60165549 80220732 86344452 120331098 240662196 314197867 628395734 942593601 1256791468 1885187202 2827780803 3770374404 5655561606 11311123212