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22137803142 = 23713231100609
BaseRepresentation
bin10100100111100001…
…000001000110000110
32010010211011220211220
4110213201001012012
5330314234200032
614100413541210
71412411136060
oct244741010606
963124156756
1022137803142
119430238184
124359aa4806
13211a570400
1411001b2730
1589879e12c
hex527841186

22137803142 has 96 divisors (see below), whose sum is σ = 56560527360. Its totient is φ = 5650145280.

The previous prime is 22137803101. The next prime is 22137803143. The reversal of 22137803142 is 24130873122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22137803143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169734 + ... + 270342.

It is an arithmetic number, because the mean of its divisors is an integer number (589172160).

Almost surely, 222137803142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22137803142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28280263680).

22137803142 is an abundant number, since it is smaller than the sum of its proper divisors (34422724218).

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

22137803142 is a wasteful number, since it uses less digits than its factorization.

22137803142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100678 (or 100665 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 22137803142 in words is "twenty-two billion, one hundred thirty-seven million, eight hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 169 182 186 217 273 338 403 434 507 546 651 806 1014 1183 1209 1302 2366 2418 2821 3549 5239 5642 7098 8463 10478 15717 16926 31434 36673 73346 100609 110019 201218 220038 301827 603654 704263 1307917 1408526 2112789 2615834 3118879 3923751 4225578 6237758 7847502 9155419 9356637 17002921 18310838 18713274 21832153 27466257 34005842 40545427 43664306 51008763 54932514 65496459 81090854 102017526 119020447 121636281 130992918 238040894 243272562 283817989 357061341 527090551 567635978 714122682 851453967 1054181102 1581271653 1702907934 3162543306 3689633857 7379267714 11068901571 22137803142