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20122213221320 = 2357228136535357
BaseRepresentation
bin1001001001101000100010…
…10111110000001111001000
32122020122221122012102001012
410210310101113300033020
510114140243041040240
6110444003411343052
74144532126200400
oct444642127601710
978218848172035
1020122213221320
116458867862091
12230b9a05b1a88
13b2c693b7b602
144d7cc54c3800
1524d6592bab65
hex124d115f03c8

20122213221320 has 96 divisors (see below), whose sum is σ = 52854241004280. Its totient is φ = 6874492584960.

The previous prime is 20122213221317. The next prime is 20122213221343. The reversal of 20122213221320 is 2312231222102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13164023907076 + 6958189314244 = 3628226^2 + 2637838^2 .

It is a super-2 number, since 2×201222132213202 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 17716919 + ... + 18818438.

Almost surely, 220122213221320 is an apocalyptic number.

20122213221320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122213221320 is an abundant number, since it is smaller than the sum of its proper divisors (32732027782960).

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

20122213221320 is a wasteful number, since it uses less digits than its factorization.

20122213221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36535663 (or 36535652 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 20122213221320 its reverse (2312231222102), we get a palindrome (22434444443422).

The spelling of 20122213221320 in words is "twenty trillion, one hundred twenty-two billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 281 392 490 562 980 1124 1405 1960 1967 2248 2810 3934 5620 7868 9835 11240 13769 15736 19670 27538 39340 55076 68845 78680 110152 137690 275380 550760 36535357 73070714 146141428 182676785 255747499 292282856 365353570 511494998 730707140 1022989996 1278737495 1461414280 1790232493 2045979992 2557474990 3580464986 5114949980 7160929972 8951162465 10229899960 10266435317 14321859944 17902324930 20532870634 35804649860 41065741268 51332176585 71609299720 71865047219 82131482536 102664353170 143730094438 205328706340 287460188876 359325236095 410657412680 503055330533 574920377752 718650472190 1006110661066 1437300944380 2012221322132 2515276652665 2874601888760 4024442644264 5030553305330 10061106610660 20122213221320