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21213525104442 = 23211234658218073
BaseRepresentation
bin1001101001011001010001…
…01000001101011100111010
32210002222211001001002222100
410310230220220031130322
510240030244411320232
6113041205304404230
74316424633145206
oct464545050153472
983088731032870
1021213525104442
1168396729822a0
1224673a6776676
13bab5719a5108
14534a50b5db06
1526bc2c149c7c
hex134b28a0d73a

21213525104442 has 48 divisors (see below), whose sum is σ = 52321105407168. Its totient is φ = 6148847855040.

The previous prime is 21213525104441. The next prime is 21213525104501. The reversal of 21213525104442 is 24440152531212.

21213525104442 is a `hidden beast` number, since 2 + 1 + 2 + 13 + 52 + 510 + 44 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21213525104397 and 21213525104406.

It is not an unprimeable number, because it can be changed into a prime (21213525104441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2329104483 + ... + 2329113590.

It is an arithmetic number, because the mean of its divisors is an integer number (1090023029316).

Almost surely, 221213525104442 is an apocalyptic number.

21213525104442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21213525104442 is an abundant number, since it is smaller than the sum of its proper divisors (31107580302726).

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

21213525104442 is a wasteful number, since it uses less digits than its factorization.

21213525104442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658218115 (or 4658218112 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 21213525104442 its reverse (24440152531212), we get a palindrome (45653677635654).

The spelling of 21213525104442 in words is "twenty-one trillion, two hundred thirteen billion, five hundred twenty-five million, one hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 4658218073 9316436146 13974654219 27949308438 41923962657 51240398803 83847925314 102480797606 107139015679 153721196409 214278031358 307442392818 321417047037 461163589227 642834094074 922327178454 964251141111 1178529172469 1928502282222 2357058344938 3535587517407 7071175034814 10606762552221 21213525104442