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1021111212 = 22311101191401
BaseRepresentation
bin111100110111001…
…110101110101100
32122011101211020210
4330313032232230
54042401024322
6245153542420
734206205422
oct7467165654
92564354223
101021111212
11484432a70
12245b74a10
1313371c324
1499885112
155e9a170c
hex3cdcebac

1021111212 has 96 divisors (see below), whose sum is σ = 2645250048. Its totient is φ = 304000000.

The previous prime is 1021111211. The next prime is 1021111219. The reversal of 1021111212 is 2121111201.

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 (1021111211) 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 31 ways as a sum of consecutive naturals, for example, 2546212 + ... + 2546612.

It is an arithmetic number, because the mean of its divisors is an integer number (27554688).

Almost surely, 21021111212 is an apocalyptic number.

1021111212 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 1021111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322625024).

1021111212 is an abundant number, since it is smaller than the sum of its proper divisors (1624138836).

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

1021111212 is a wasteful number, since it uses less digits than its factorization.

1021111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1021111212 is about 31954.8308085022. The cubic root of 1021111212 is about 1006.9881230505.

Adding to 1021111212 its reverse (2121111201), we get a palindrome (3142222413).

The spelling of 1021111212 in words is "one billion, twenty-one million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 191 202 303 382 401 404 573 606 764 802 1111 1146 1203 1212 1604 2101 2222 2292 2406 3333 4202 4411 4444 4812 6303 6666 8404 8822 12606 13233 13332 17644 19291 25212 26466 38582 40501 52932 57873 76591 77164 81002 115746 121503 153182 162004 212201 229773 231492 243006 306364 424402 445511 459546 486012 636603 842501 848804 891022 919092 1273206 1336533 1685002 1782044 2527503 2546412 2673066 3370004 5055006 5346132 7735691 10110012 15471382 23207073 30942764 46414146 85092601 92828292 170185202 255277803 340370404 510555606 1021111212