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21830249331 = 351143189929
BaseRepresentation
bin10100010101001011…
…110010101101110011
32002100101110120100000
4110111023302231303
5324202020434311
614010110001043
71401655025532
oct242513625563
962311416300
1021830249331
119292674480
124292aa6183
13209b9292c7
1410b13d4319
1587b79c056
hex5152f2b73

21830249331 has 48 divisors (see below), whose sum is σ = 36503026560. Its totient is φ = 12922701120.

The previous prime is 21830249327. The next prime is 21830249333. The reversal of 21830249331 is 13394203812.

21830249331 is a `hidden beast` number, since 2 + 1 + 83 + 0 + 249 + 331 = 666.

It is not a de Polignac number, because 21830249331 - 22 = 21830249327 is a prime.

It is a super-2 number, since 2×218302493312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21830249333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19975 + ... + 209903.

It is an arithmetic number, because the mean of its divisors is an integer number (760479720).

Almost surely, 221830249331 is an apocalyptic number.

21830249331 is a deficient number, since it is larger than the sum of its proper divisors (14672777229).

21830249331 is a wasteful number, since it uses less digits than its factorization.

21830249331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189998 (or 189986 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21830249331 in words is "twenty-one billion, eight hundred thirty million, two hundred forty-nine thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 43 81 99 129 243 297 387 473 891 1161 1419 2673 3483 4257 10449 12771 38313 114939 189929 569787 1709361 2089219 5128083 6267657 8166947 15384249 18802971 24500841 46152747 56408913 73502523 89836417 169226739 220507569 269509251 507680217 661522707 808527753 1984568121 2425583259 7276749777 21830249331