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21235212144 = 2432151976601
BaseRepresentation
bin10011110001101101…
…111001111101110000
32000210220210112202200
4103301231321331300
5321442203242034
613431052143200
71351141216326
oct236155717560
960726715680
1021235212144
1190077a6203
124147767b00
13200557a5b3
14105637dd16
1584440ea99
hex4f1b79f70

21235212144 has 60 divisors (see below), whose sum is σ = 59822732112. Its totient is φ = 7031520000.

The previous prime is 21235212127. The next prime is 21235212157. The reversal of 21235212144 is 44121253212.

21235212144 is a `hidden beast` number, since 2 + 123 + 521 + 2 + 14 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 466557 + ... + 510044.

Almost surely, 221235212144 is an apocalyptic number.

21235212144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21235212144 is an abundant number, since it is smaller than the sum of its proper divisors (38587519968).

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

21235212144 is a wasteful number, since it uses less digits than its factorization.

21235212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976766 (or 976757 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 21235212144 its reverse (44121253212), we get a palindrome (65356465356).

It can be divided in two parts, 212 and 35212144, that added together give a square (35212356 = 59342).

The spelling of 21235212144 in words is "twenty-one billion, two hundred thirty-five million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 21744 976601 1953202 2929803 3906404 5859606 7812808 8789409 11719212 15625616 17578818 23438424 35157636 46876848 70315272 140630544 147466751 294933502 442400253 589867004 884800506 1179734008 1327200759 1769601012 2359468016 2654401518 3539202024 5308803036 7078404048 10617606072 21235212144