Search a number
-
+
21201402103020 = 223251929321157817
BaseRepresentation
bin1001101001000010101100…
…00010101000010011101100
32210001211112011110211101200
410310201112002220103230
510234330432414244040
6113031442322405500
74315515336266556
oct464412602502354
983054464424350
1021201402103020
116834511849957
122464b82800890
13baa38c2054a9
14534220a844d6
1526b76cbce630
hex1348560a84ec

21201402103020 has 144 divisors (see below), whose sum is σ = 67926751532640. Its totient is φ = 5337863083008.

The previous prime is 21201402103019. The next prime is 21201402103033. The reversal of 21201402103020 is 2030120410212.

It is a happy number.

21201402103020 is a `hidden beast` number, since 2 + 1 + 201 + 402 + 10 + 30 + 20 = 666.

It is a super-2 number, since 2×212014021030202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21201402102984 and 21201402103002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9576849 + ... + 11580968.

It is an arithmetic number, because the mean of its divisors is an integer number (471713552310).

Almost surely, 221201402103020 is an apocalyptic number.

21201402103020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201402103020 is an abundant number, since it is smaller than the sum of its proper divisors (46725349429620).

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

21201402103020 is a wasteful number, since it uses less digits than its factorization.

21201402103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21158144 (or 21158139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21201402103020 its reverse (2030120410212), we get a palindrome (23231522513232).

The spelling of 21201402103020 in words is "twenty-one trillion, two hundred one billion, four hundred two million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 293 342 380 570 586 684 855 879 1140 1172 1465 1710 1758 2637 2930 3420 3516 4395 5274 5567 5860 8790 10548 11134 13185 16701 17580 22268 26370 27835 33402 50103 52740 55670 66804 83505 100206 111340 167010 200412 250515 334020 501030 1002060 21157817 42315634 63473451 84631268 105789085 126946902 190420353 211578170 253893804 317367255 380840706 401998523 423156340 634734510 761681412 803997046 952101765 1205995569 1269469020 1607994092 1904203530 2009992615 2411991138 3617986707 3808407060 4019985230 4823982276 6029977845 6199240381 7235973414 8039970460 12059955690 12398480762 14471946828 18089933535 18597721143 24119911380 24796961524 30996201905 36179867070 37195442286 55793163429 61992403810 72359734140 74390884572 92988605715 111586326858 117785567239 123984807620 185977211430 223172653716 235571134478 278965817145 353356701717 371954422860 471142268956 557931634290 588927836195 706713403434 1060070105151 1115863268580 1177855672390 1413426806868 1766783508585 2120140210302 2355711344780 3533567017170 4240280420604 5300350525755 7067134034340 10600701051510 21201402103020