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21142202303024 = 24112331821205213
BaseRepresentation
bin1001100111010100011010…
…11101010100001000110000
32202212011201102121101200122
410303222031131110020300
510232343212242144044
6112544332121305412
74311321324300515
oct463521535241060
982764642541618
1021142202303024
1168113a3029a10
122455600935268
13ba491649b23a
145314065ad30c
15269e55842dee
hex133a8d754230

21142202303024 has 160 divisors (see below), whose sum is σ = 48192889171968. Its totient is φ = 8884858752000.

The previous prime is 21142202303021. The next prime is 21142202303039. The reversal of 21142202303024 is 42030320224112.

It is a junction number, because it is equal to n+sod(n) for n = 21142202302984 and 21142202303002.

It is not an unprimeable number, because it can be changed into a prime (21142202303021) 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, 102923042 + ... + 103128254.

Almost surely, 221142202303024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21142202303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24096444585984).

21142202303024 is an abundant number, since it is smaller than the sum of its proper divisors (27050686868944).

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

21142202303024 is a wasteful number, since it uses less digits than its factorization.

21142202303024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206107 (or 206101 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 21142202303024 its reverse (42030320224112), we get a palindrome (63172522527136).

The spelling of 21142202303024 in words is "twenty-one trillion, one hundred forty-two billion, two hundred two million, three hundred three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 31 44 46 62 88 92 124 176 184 248 253 341 368 496 506 682 713 821 1012 1364 1426 1642 2024 2728 2852 3284 4048 5456 5704 6568 7843 9031 11408 13136 15686 18062 18883 25451 31372 36124 37766 50902 62744 72248 75532 101804 125488 144496 151064 203608 205213 207713 279961 302128 407216 410426 415426 559922 585373 820852 830852 1119844 1170746 1641704 1661704 2239688 2257343 2341492 3283408 3323408 4479376 4514686 4682984 4719899 6361603 6439103 9029372 9365968 9439798 12723206 12878206 18058744 18879596 25446412 25756412 36117488 37759192 50892824 51512824 51918889 69977633 75518384 101785648 103025648 103837778 139955266 146316869 168479873 207675556 279910532 292633738 336959746 415351112 559821064 585267476 673919492 830702224 1119642128 1170534952 1347838984 1609485559 1853278603 2341069904 2695677968 3218971118 3706557206 3875037079 5222876063 6437942236 7413114412 7750074158 10445752126 12875884472 14826228824 15500148316 20891504252 25751768944 29652457648 31000296632 41783008504 42625407869 57451636693 62000593264 83566017008 85250815738 114903273386 120126149449 170501631476 229806546772 240252298898 341003262952 459613093544 480504597796 682006525904 919226187088 961009195592 1321387643939 1922018391184 2642775287878 5285550575756 10571101151512 21142202303024