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1021302212 = 227192232191
BaseRepresentation
bin111100110111111…
…101010111000100
32122011202112020212
4330313331113010
54042423132322
6245202014552
734210632320
oct7467752704
92564675225
101021302212
11484553517
12246047458
13133788248
14998d4980
155e9dd0e2
hex3cdfd5c4

1021302212 has 108 divisors (see below), whose sum is σ = 2265371136. Its totient is φ = 394558560.

The previous prime is 1021302211. The next prime is 1021302259. The reversal of 1021302212 is 2122031201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1021302211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5347037 + ... + 5347227.

Almost surely, 21021302212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132685568).

1021302212 is an abundant number, since it is smaller than the sum of its proper divisors (1244068924).

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

1021302212 is a wasteful number, since it uses less digits than its factorization.

1021302212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1021302212 is about 31957.8192622713. The cubic root of 1021302212 is about 1007.0509052230.

Adding to 1021302212 its reverse (2122031201), we get a palindrome (3143333413).

The spelling of 1021302212 in words is "one billion, twenty-one million, three hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 191 266 322 361 382 437 529 532 644 722 764 874 1058 1337 1444 1748 2116 2527 2674 3059 3629 3703 4393 5054 5348 6118 7258 7406 8303 8786 10051 10108 12236 14516 14812 16606 17572 20102 25403 30751 33212 40204 50806 58121 61502 68951 70357 83467 101039 101612 116242 123004 137902 140714 166934 190969 202078 232484 275804 281428 333868 381938 404156 482657 584269 707273 763876 965314 1168538 1336783 1414546 1585873 1919741 1930628 2337076 2673566 2829092 3171746 3839482 5347132 6343492 7678964 11101111 13438187 22202222 26876374 36475079 44404444 53752748 72950158 145900316 255325553 510651106 1021302212