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22131042043240 = 23513311576187107
BaseRepresentation
bin1010000100000110010001…
…11001100100010101101000
32220100201002101000212211201
411002003020321210111220
510400043333230340430
6115022505500533544
74442625565353154
oct502031071442550
986321071025751
1022131042043240
1170627a4307509
1225951892512b4
13c46c4358a660
1456721074a064
15285a2c4108ca
hex1420c8e64568

22131042043240 has 128 divisors (see below), whose sum is σ = 55359210654720. Its totient is φ = 7907273625600.

The previous prime is 22131042043219. The next prime is 22131042043301. The reversal of 22131042043240 is 4234024013122.

It is a junction number, because it is equal to n+sod(n) for n = 22131042043199 and 22131042043208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254023767 + ... + 254110873.

It is an arithmetic number, because the mean of its divisors is an integer number (432493833240).

Almost surely, 222131042043240 is an apocalyptic number.

22131042043240 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 22131042043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27679605327360).

22131042043240 is an abundant number, since it is smaller than the sum of its proper divisors (33228168611480).

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

22131042043240 is a wasteful number, since it uses less digits than its factorization.

22131042043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102923 (or 102919 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22131042043240 its reverse (4234024013122), we get a palindrome (26365066056362).

The spelling of 22131042043240 in words is "twenty-two trillion, one hundred thirty-one billion, forty-two million, forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 15761 16120 31522 63044 78805 87107 126088 157610 174214 204893 315220 348428 409786 435535 488591 630440 696856 819572 871070 977182 1024465 1132391 1639144 1742140 1954364 2048930 2264782 2442955 2700317 3484280 3908728 4097860 4529564 4885910 5400634 5661955 6351683 8195720 9059128 9771820 10801268 11323910 12703366 13501585 19543640 21602536 22647820 25406732 27003170 31758415 35104121 45295640 50813464 54006340 63516830 70208242 108012680 127033660 140416484 175520605 254067320 280832968 351041210 702082420 1372893427 1404164840 2745786854 5491573708 6864467135 10983147416 13728934270 17847614551 27457868540 35695229102 42559696237 54915737080 71390458204 85119392474 89238072755 142780916408 170238784948 178476145510 212798481185 340477569896 356952291020 425596962370 553276051081 713904582040 851193924740 1106552102162 1702387849480 2213104204324 2766380255405 4426208408648 5532760510810 11065521021620 22131042043240