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20211222211202 = 21129791014019901
BaseRepresentation
bin1001001100001110010101…
…01110000110101010000010
32122120011200211022120212002
410212013022232012222002
510122120040341224302
6110552523551104002
74154132633134541
oct446071256065202
978504624276762
1020211222211202
11649259303a650
1223250a1512002
13b37baa590569
144dc32a934158
15250b1863ec02
hex1261cab86a82

20211222211202 has 128 divisors (see below), whose sum is σ = 35080266931200. Its totient is φ = 8648640000000.

The previous prime is 20211222211181. The next prime is 20211222211207.

20211222211202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20211222211207) 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 63 ways as a sum of consecutive naturals, for example, 2041326452 + ... + 2041336352.

It is an arithmetic number, because the mean of its divisors is an integer number (274064585400).

Almost surely, 220211222211202 is an apocalyptic number.

20211222211202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20211222211202 is a deficient number, since it is larger than the sum of its proper divisors (14869044719998).

20211222211202 is a wasteful number, since it uses less digits than its factorization.

20211222211202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 2021122 and 2211202, that added together give a palindrome (4232324).

The spelling of 20211222211202 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, two hundred two".

Divisors: 1 2 11 22 29 58 79 101 158 202 319 401 638 802 869 1111 1738 2222 2291 2929 4411 4582 5858 7979 8822 9901 11629 15958 19802 23258 25201 31679 32219 40501 50402 63358 64438 81002 87769 108911 127919 175538 217822 231391 255838 287129 348469 445511 462782 574258 696938 782179 891022 918691 1000001 1174529 1564358 1837382 2000002 2349058 2545301 3158419 3199579 3970301 5090602 6316838 6399158 7940602 8603969 10105601 11000011 12919819 17207938 20211202 22000022 22683191 25839638 29000029 35195369 43673311 45366382 58000058 70390738 79000079 87346622 92787791 115138729 158000158 185575582 230277458 249515101 313653779 319000319 401000401 499030202 627307558 638000638 802000802 869000869 1020665701 1266526019 1738001738 2041331402 2291002291 2533052038 3450191569 4411004411 4582004582 6900383138 8822008822 9095959591 11629011629 18191919182 23258023258 25201025201 31679031679 50402050402 63358063358 100055555501 127919127919 200111111002 255838255838 348469348469 696938696938 918691918691 1837383837382 10105611105601 20211222211202