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20212122121202 = 211416110127113421
BaseRepresentation
bin1001001100010000000000…
…10110111111001111110010
32122120021000112122202022002
410212020000112333033302
510122123411230334302
6110553153135214002
74154164141220054
oct446100026771762
978507015582262
1020212122121202
116492a05010320
1223252b2977302
13b37cc1b54c9b
144dc3b42698d4
15250b6c64ec02
hex1262005bf3f2

20212122121202 has 128 divisors (see below), whose sum is σ = 34908387720192. Its totient is φ = 8696160000000.

The previous prime is 20212122121201. The next prime is 20212122121231.

20212122121202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20212122121201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1506000452 + ... + 1506013872.

It is an arithmetic number, because the mean of its divisors is an integer number (272721779064).

Almost surely, 220212122121202 is an apocalyptic number.

20212122121202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20212122121202 is a deficient number, since it is larger than the sum of its proper divisors (14696265598990).

20212122121202 is a wasteful number, since it uses less digits than its factorization.

20212122121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13908.

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

It can be divided in two parts, 2021212 and 2121202, that added together give a palindrome (4142414).

The spelling of 20212122121202 in words is "twenty trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 11 22 41 61 82 101 122 202 271 451 542 671 902 1111 1342 2222 2501 2981 4141 5002 5962 6161 8282 11111 12322 13421 16531 22222 26842 27371 27511 33062 45551 54742 55022 67771 91102 122221 135542 147631 181841 244442 252601 295262 301081 363682 505202 550261 602162 677771 818681 1100522 1122211 1355521 1355542 1637362 1669631 2244422 2711042 2778611 3339262 3637091 5557222 6052871 7274182 7455481 9005491 12105742 12344321 14910731 14910962 18010982 18365941 24688642 29821462 33565921 36731882 40008001 55576361 67131842 68454871 80016002 82686781 111152722 136909742 149120731 165373562 221862551 298241462 367346191 369225131 443725102 611339971 734692382 738450262 753003581 909554591 1222679942 1506007162 1640328041 1819109182 2440488061 3280656082 3390158021 4040808101 4880976122 6780316042 8081616202 9096364591 15061193831 18192729182 22408117651 30122387662 37291738231 44816235302 74583476462 100060010501 165673132141 200120021002 246489294161 331346264282 492978588322 918732823691 1837465647382 10106061060601 20212122121202