Search a number
-
+
21221201220210 = 23251727750072441
BaseRepresentation
bin1001101001100111100100…
…01010010001001001110010
32210010201122000000012020100
410310303302022101021302
510240142010003021320
6113044515114253230
74320116102101365
oct464636212211162
983121560005210
1021221201220210
116841951942722
122468989427216
13bac1c60a7054
1453517c3d80dc
1526c02aeb9790
hex134cf2291272

21221201220210 has 96 divisors (see below), whose sum is σ = 58631624945712. Its totient is φ = 5306877480960.

The previous prime is 21221201220209. The next prime is 21221201220229. The reversal of 21221201220210 is 1202210212212.

It is a happy number.

21221201220210 is a `hidden beast` number, since 2 + 1 + 221 + 201 + 220 + 21 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12832722833841 + 8388478386369 = 3582279^2 + 2896287^2 .

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

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, 24612411 + ... + 25460030.

Almost surely, 221221201220210 is an apocalyptic number.

21221201220210 is an abundant number, since it is smaller than the sum of its proper divisors (37410423725502).

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

21221201220210 is a wasteful number, since it uses less digits than its factorization.

21221201220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50072748 (or 50072745 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21221201220210 its reverse (1202210212212), we get a palindrome (22423411432422).

The spelling of 21221201220210 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 277 306 510 554 765 831 1385 1530 1662 2493 2770 4155 4709 4986 8310 9418 12465 14127 23545 24930 28254 42381 47090 70635 84762 141270 211905 423810 50072441 100144882 150217323 250362205 300434646 450651969 500724410 751086615 851231497 901303938 1502173230 1702462994 2253259845 2553694491 4256157485 4506519690 5107388982 7661083473 8512314970 12768472455 13870066157 15322166946 25536944910 27740132314 38305417365 41610198471 69350330785 76610834730 83220396942 124830595413 138700661570 208050992355 235791124669 249661190826 416101984710 471582249338 624152977065 707373374007 1178955623345 1248305954130 1414746748014 2122120122021 2357911246690 3536866870035 4244240244042 7073733740070 10610600610105 21221201220210