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220101312 = 2631767433
BaseRepresentation
bin11010001111001…
…11101011000000
3120100011022020110
431013213223000
5422321220222
633501311320
75311554534
oct1507475300
9510138213
10220101312
11103272412
1261865540
13367a4882
1421335bc4
15144ca30c
hexd1e7ac0

220101312 has 56 divisors (see below), whose sum is σ = 616616496. Its totient is φ = 69050368.

The previous prime is 220101311. The next prime is 220101319. The reversal of 220101312 is 213101022.

220101312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220101311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30453 + ... + 36980.

Almost surely, 2220101312 is an apocalyptic number.

It is an amenable number.

220101312 is an abundant number, since it is smaller than the sum of its proper divisors (396515184).

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

220101312 is a wasteful number, since it uses less digits than its factorization.

220101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67465 (or 67455 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 220101312 is about 14835.8118079194. The cubic root of 220101312 is about 603.7737263329.

Adding to 220101312 its reverse (213101022), we get a palindrome (433202334).

The spelling of 220101312 in words is "two hundred twenty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 67433 134866 202299 269732 404598 539464 809196 1078928 1146361 1618392 2157856 2292722 3236784 3439083 4315712 4585444 6473568 6878166 9170888 12947136 13756332 18341776 27512664 36683552 55025328 73367104 110050656 220101312