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10214204132220 = 22351164692392343
BaseRepresentation
bin1001010010100010111000…
…0000100100101101111100
31100011110122110002121122220
42110220232000210231330
52314322142224212340
633420201323005340
72102644333414434
oct224505600445574
940143573077586
1010214204132220
113288901a48a70
12118b6b8369850
1359127015965a
142745278632c4
1512aa653bded0
hex94a2e024b7c

10214204132220 has 96 divisors (see below), whose sum is σ = 31204586810880. Its totient is φ = 2475786888960.

The previous prime is 10214204132129. The next prime is 10214204132227. The reversal of 10214204132220 is 2223140241201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214204132227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3073369 + ... + 5465711.

It is an arithmetic number, because the mean of its divisors is an integer number (325047779280).

Almost surely, 210214204132220 is an apocalyptic number.

10214204132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214204132220 is an abundant number, since it is smaller than the sum of its proper divisors (20990382678660).

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

10214204132220 is a wasteful number, since it uses less digits than its factorization.

10214204132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398835 (or 2398833 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10214204132220 its reverse (2223140241201), we get a palindrome (12437344373421).

The spelling of 10214204132220 in words is "ten trillion, two hundred fourteen billion, two hundred four million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 6469 12938 19407 25876 32345 38814 64690 71159 77628 97035 129380 142318 194070 213477 284636 355795 388140 426954 711590 853908 1067385 1423180 2134770 2392343 4269540 4784686 7177029 9569372 11961715 14354058 23923430 26315773 28708116 35885145 47846860 52631546 71770290 78947319 105263092 131578865 143540580 157894638 263157730 315789276 394736595 526315460 789473190 1578946380 15476066867 30952133734 46428200601 61904267468 77380334335 92856401202 154760668670 170236735537 185712802404 232141003005 309521337340 340473471074 464282006010 510710206611 680946942148 851183677685 928564012020 1021420413222 1702367355370 2042840826444 2553551033055 3404734710740 5107102066110 10214204132220