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22513111340120 = 2354322735758477
BaseRepresentation
bin1010001111001101111100…
…00000010001010001011000
32221201020021102211011020222
411013212332000101101120
510422323323000340440
6115514214111535212
74512342612656612
oct507467600212130
987636242734228
1022513111340120
11719a8364881a5
12263723752a508
13c73c9214bb9b
1457b8d739ddb2
1529093ea8d2b5
hex1479be011458

22513111340120 has 64 divisors (see below), whose sum is σ = 51855324729120. Its totient is φ = 8791949021184.

The previous prime is 22513111340119. The next prime is 22513111340129. The reversal of 22513111340120 is 2104311131522.

It is a super-2 number, since 2×225131113401202 (a number of 28 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 22513111340120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22513111340129) 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 15 ways as a sum of consecutive naturals, for example, 1030322 + ... + 6788798.

Almost surely, 222513111340120 is an apocalyptic number.

22513111340120 is a gapful number since it is divisible by the number (20) 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 22513111340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25927662364560).

22513111340120 is an abundant number, since it is smaller than the sum of its proper divisors (29342213389000).

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

22513111340120 is a wasteful number, since it uses less digits than its factorization.

22513111340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760804 (or 5760800 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 22513111340120 its reverse (2104311131522), we get a palindrome (24617422471642).

The spelling of 22513111340120 in words is "twenty-two trillion, five hundred thirteen billion, one hundred eleven million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 2273 4546 9092 11365 18184 22730 45460 90920 97739 195478 390956 488695 781912 977390 1954780 3909560 5758477 11516954 23033908 28792385 46067816 57584770 115169540 230339080 247614511 495229022 990458044 1238072555 1980916088 2476145110 4952290220 9904580440 13089018221 26178036442 52356072884 65445091105 104712145768 130890182210 261780364420 523560728840 562827783503 1125655567006 2251311134012 2814138917515 4502622268024 5628277835030 11256555670060 22513111340120