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10221322023012 = 2236532137610391
BaseRepresentation
bin1001010010111101011001…
…0001001011000001100100
31100012011000111122221012210
42110233112101023001210
52314431231414214022
633423335512043420
72103315613451562
oct224572621130144
940164014587183
1010221322023012
1132909248a3741
121190b64093570
13591b359cb459
14274a00d0aa32
1512ad30223a0c
hex94bd644b064

10221322023012 has 48 divisors (see below), whose sum is σ = 23897491373952. Its totient is φ = 3400292248320.

The previous prime is 10221322023001. The next prime is 10221322023097. The reversal of 10221322023012 is 21032022312201.

It is a super-2 number, since 2×102213220230122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221322023012.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16440337 + ... + 17050727.

It is an arithmetic number, because the mean of its divisors is an integer number (497864403624).

Almost surely, 210221322023012 is an apocalyptic number.

10221322023012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221322023012 is an abundant number, since it is smaller than the sum of its proper divisors (13676169350940).

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

10221322023012 is a wasteful number, since it uses less digits than its factorization.

10221322023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613188 (or 613186 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10221322023012 its reverse (21032022312201), we get a palindrome (31253344335213).

The spelling of 10221322023012 in words is "ten trillion, two hundred twenty-one billion, three hundred twenty-two million, twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 653 1306 1959 2137 2612 3918 4274 6411 7836 8548 12822 25644 610391 1220782 1395461 1831173 2441564 2790922 3662346 4186383 5581844 7324692 8372766 16745532 398585323 797170646 1195755969 1304405567 1594341292 2391511938 2608811134 3913216701 4783023876 5217622268 7826433402 15652866804 851776835251 1703553670502 2555330505753 3407107341004 5110661011506 10221322023012