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21022312031220 = 2235735743835733
BaseRepresentation
bin1001100011110101000110…
…11100001110001111110100
32202102201021001220112222110
410301322203130032033310
510223412143334444340
6112413303344531020
74266545326635423
oct461724334161764
982381231815873
1021022312031220
116775570100255
122436321920a70
13b9651ac525c6
145296b1a6b2ba
15266c8a314680
hex131ea370e3f4

21022312031220 has 96 divisors (see below), whose sum is σ = 59679270185472. Its totient is φ = 5528186661888.

The previous prime is 21022312031177. The next prime is 21022312031221. The reversal of 21022312031220 is 2213021322012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022312031221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24736474 + ... + 25572206.

It is an arithmetic number, because the mean of its divisors is an integer number (621659064432).

Almost surely, 221022312031220 is an apocalyptic number.

21022312031220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022312031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29839635092736).

21022312031220 is an abundant number, since it is smaller than the sum of its proper divisors (38656958154252).

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

21022312031220 is a wasteful number, since it uses less digits than its factorization.

21022312031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841561 (or 841559 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21022312031220 its reverse (2213021322012), we get a palindrome (23235333353232).

The spelling of 21022312031220 in words is "twenty-one trillion, twenty-two billion, three hundred twelve million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 5743 11486 17229 22972 28715 34458 57430 68916 86145 114860 172290 344580 419239 835733 838478 1257717 1671466 1676956 2096195 2507199 2515434 3342932 4178665 4192390 5014398 5030868 6288585 8357330 8384780 10028796 12535995 12577170 16714660 25071990 25154340 50143980 61008509 122017018 183025527 244034036 305042545 366051054 610085090 732102108 915127635 1220170180 1830255270 3660510540 4799614619 9599229238 14398843857 19198458476 23998073095 28797687714 47996146190 57595375428 71994219285 95992292380 143988438570 287976877140 350371867187 700743734374 1051115601561 1401487468748 1751859335935 2102231203122 3503718671870 4204462406244 5255578007805 7007437343740 10511156015610 21022312031220