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1022022012 = 2231131379659
BaseRepresentation
bin111100111010101…
…101000101111100
32122020010002122010
4330322231011330
54043114201022
6245225251220
734220021004
oct7472550574
92566102563
101022022012
114849a52a0
12246333b10
1313397aa6b
1499a41004
155ead150c
hex3cead17c

1022022012 has 96 divisors (see below), whose sum is σ = 2696601600. Its totient is φ = 298468800.

The previous prime is 1022021993. The next prime is 1022022017. The reversal of 1022022012 is 2102202201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022022017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550539 + ... + 1551197.

It is an arithmetic number, because the mean of its divisors is an integer number (28089600).

Almost surely, 21022022012 is an apocalyptic number.

1022022012 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 1022022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348300800).

1022022012 is an abundant number, since it is smaller than the sum of its proper divisors (1674579588).

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

1022022012 is a wasteful number, since it uses less digits than its factorization.

1022022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1022022012 is about 31969.0789983071. The cubic root of 1022022012 is about 1007.2874349546.

Adding to 1022022012 its reverse (2102202201), we get a palindrome (3124224213).

It can be divided in two parts, 102202201 and 2, that multiplied together give a palindrome (204404402).

The spelling of 1022022012 in words is "one billion, twenty-two million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 379 659 682 758 1023 1137 1318 1364 1516 1977 2046 2274 2636 3954 4092 4169 4548 7249 7908 8338 11749 12507 14498 16676 20429 21747 23498 25014 28996 35247 40858 43494 46996 50028 61287 70494 81716 86988 122574 129239 140988 224719 245148 249761 258478 387717 449438 499522 516956 674157 749283 775434 898876 999044 1348314 1498566 1550868 2696628 2747371 2997132 5494742 7742591 8242113 10989484 15485182 16484226 23227773 30970364 32968452 46455546 85168501 92911092 170337002 255505503 340674004 511011006 1022022012