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24002104122 = 23219635311047
BaseRepresentation
bin10110010110101000…
…110000101100111010
32021221202012020000100
4112112220300230322
5343124014312442
615005412220230
71506536342643
oct262650605472
967852166010
1024002104122
11a1a7620097
12479a30a676
132356884c99
141239a266ca
159572a984c
hex596a30b3a

24002104122 has 48 divisors (see below), whose sum is σ = 54755213760. Its totient is φ = 7577732736.

The previous prime is 24002104121. The next prime is 24002104123. The reversal of 24002104122 is 22140120042.

24002104122 is a `hidden beast` number, since 2 + 40 + 0 + 210 + 412 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (24002104121) and next prime (24002104123).

It is a super-2 number, since 2×240021041222 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24002104095 and 24002104104.

It is not an unprimeable number, because it can be changed into a prime (24002104121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2167203 + ... + 2178249.

It is an arithmetic number, because the mean of its divisors is an integer number (1140733620).

Almost surely, 224002104122 is an apocalyptic number.

24002104122 is an abundant number, since it is smaller than the sum of its proper divisors (30753109638).

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

24002104122 is a wasteful number, since it uses less digits than its factorization.

24002104122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17427 (or 17424 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 24002104122 its reverse (22140120042), we get a palindrome (46142224164).

The spelling of 24002104122 in words is "twenty-four billion, two million, one hundred four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 6353 11047 12706 19059 22094 33141 38118 57177 66282 99423 114354 120707 198846 209893 241414 362121 419786 629679 724242 1086363 1259358 1889037 2172726 3778074 70181591 140363182 210544773 421089546 631634319 1263268638 1333450229 2666900458 4000350687 8000701374 12001052061 24002104122