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21114120044232 = 2332293251667281
BaseRepresentation
bin1001100110100000000111…
…00111111111111011001000
32202202111020022212211200200
410303100003213333323020
510231413204212403412
6112523405353132200
74306305402112065
oct463200347777310
982674208784620
1021114120044232
1168004a2359276
1224500840ba060
13ba208c50bc67
1452dd00b29c6c
1526936027d9dc
hex1334039ffec8

21114120044232 has 24 divisors (see below), whose sum is σ = 57184075119990. Its totient is φ = 7038040014720.

The previous prime is 21114120044231. The next prime is 21114120044233. The reversal of 21114120044232 is 23244002141112.

21114120044232 is a `hidden beast` number, since 2 + 1 + 1 + 14 + 1 + 200 + 442 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21114120044231) and next prime (21114120044233).

It can be written as a sum of positive squares in only one way, i.e., 14684883111396 + 6429236932836 = 3832086^2 + 2535594^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×211141200442323 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21114120044196 and 21114120044205.

It is not an unprimeable number, because it can be changed into a prime (21114120044231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146625833569 + ... + 146625833712.

Almost surely, 221114120044232 is an apocalyptic number.

It is an amenable number.

21114120044232 is an abundant number, since it is smaller than the sum of its proper divisors (36069955075758).

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

21114120044232 is a wasteful number, since it uses less digits than its factorization.

21114120044232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293251667293 (or 293251667286 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21114120044232 its reverse (23244002141112), we get a palindrome (44358122185344).

The spelling of 21114120044232 in words is "twenty-one trillion, one hundred fourteen billion, one hundred twenty million, forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293251667281 586503334562 879755001843 1173006669124 1759510003686 2346013338248 2639265005529 3519020007372 5278530011058 7038040014744 10557060022116 21114120044232