Search a number
-
+
10022022124002 = 2327389204472643
BaseRepresentation
bin1001000111010110111100…
…0100011001000111100010
31022111002120221202001201200
42101311233010121013202
52303200100130432002
633152015311342030
72053032023326410
oct221655704310742
938432527661650
1010022022124002
1132143522407a9
12115a402b21916
135790c3755625
142690d5bcc2b0
15125a68491b1c
hex91d6f1191e2

10022022124002 has 48 divisors (see below), whose sum is σ = 24880231321920. Its totient is φ = 2856073863456.

The previous prime is 10022022123977. The next prime is 10022022124003. The reversal of 10022022124002 is 20042122022001.

10022022124002 is a `hidden beast` number, since 10 + 0 + 220 + 22 + 12 + 400 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10022022124003) 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, 102187308 + ... + 102285335.

It is an arithmetic number, because the mean of its divisors is an integer number (518338152540).

Almost surely, 210022022124002 is an apocalyptic number.

10022022124002 is an abundant number, since it is smaller than the sum of its proper divisors (14858209197918).

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

10022022124002 is a wasteful number, since it uses less digits than its factorization.

10022022124002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204473047 (or 204473044 counting only the distinct ones).

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

Adding to 10022022124002 its reverse (20042122022001), we get a palindrome (30064144146003).

The spelling of 10022022124002 in words is "ten trillion, twenty-two billion, twenty-two million, one hundred twenty-four thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 389 778 1167 2334 2723 3501 5446 7002 8169 16338 24507 49014 204472643 408945286 613417929 1226835858 1431308501 1840253787 2862617002 3680507574 4293925503 8587851006 12881776509 25763553018 79539858127 159079716254 238619574381 477239148762 556779006889 715858723143 1113558013778 1431717446286 1670337020667 3340674041334 5011011062001 10022022124002