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213242432014110 = 23523719294685441
BaseRepresentation
bin110000011111000101011111…
…011010010100011100011110
31000222000202222201201221000110
4300133011133122110130132
5210422231000043422420
62033310115413310450
762626154153235162
oct6037053732243436
91028022881657013
10213242432014110
1161a446757204a4
121babb98b035426
1391ca8a1133305
143a92dbb2ccca2
15199bdd1e2dee0
hexc1f15f69471e

213242432014110 has 128 divisors (see below), whose sum is σ = 542137875240960. Its totient is φ = 53568448102400.

The previous prime is 213242432014103. The next prime is 213242432014147. The reversal of 213242432014110 is 11410234242312.

It is a happy number.

It is a super-2 number, since 2×2132424320141102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43168990 + ... + 47854430.

It is an arithmetic number, because the mean of its divisors is an integer number (4235452150320).

Almost surely, 2213242432014110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213242432014110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271068937620480).

213242432014110 is an abundant number, since it is smaller than the sum of its proper divisors (328895443226850).

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

213242432014110 is a wasteful number, since it uses less digits than its factorization.

213242432014110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686474.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 213242432014110 its reverse (11410234242312), we get a palindrome (224652666256422).

The spelling of 213242432014110 in words is "two hundred thirteen trillion, two hundred forty-two billion, four hundred thirty-two million, fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 213 230 345 355 426 690 710 929 1065 1633 1858 2130 2787 3266 4645 4899 5574 8165 9290 9798 13935 16330 21367 24495 27870 42734 48990 64101 65959 106835 128202 131918 197877 213670 320505 329795 395754 641010 659590 989385 1517057 1978770 3034114 4551171 4685441 7585285 9102342 9370882 14056323 15170570 22755855 23427205 28112646 45511710 46854410 70281615 107765143 140563230 215530286 323295429 332666311 538825715 646590858 665332622 997998933 1077651430 1616477145 1663331555 1995997866 3232954290 3326663110 4352774689 4989994665 7651325153 8705549378 9979989330 13058324067 15302650306 21763873445 22953975459 26116648134 38256625765 43527746890 45907950918 65291620335 76513251530 100113817847 114769877295 130583240670 200227635694 229539754590 300341453541 309047002919 500569089235 600682907082 618094005838 927141008757 1001138178470 1501707267705 1545235014595 1854282017514 3003414535410 3090470029190 4635705043785 7108081067137 9271410087570 14216162134274 21324243201411 35540405335685 42648486402822 71080810671370 106621216007055 213242432014110