Search a number
-
+
10022003133132 = 2232084940057889
BaseRepresentation
bin1001000111010110110111…
…1011111100101011001100
31022111002112122000020011010
42101311231323330223030
52303200030300230012
633152013352325220
72053031403032424
oct221655573745314
938432478006133
1010022003133132
11321434254a671
12115a3b86a3810
135790bc836623
142690d3487484
15125a6698ec3c
hex91d6defcacc

10022003133132 has 24 divisors (see below), whose sum is σ = 23385796182000. Its totient is φ = 3340507396096.

The previous prime is 10022003133089. The next prime is 10022003133133. The reversal of 10022003133132 is 23133130022001.

It is a super-2 number, since 2×100220031331322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022003133099 and 10022003133108.

It is not an unprimeable number, because it can be changed into a prime (10022003133133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19778757 + ... + 20279132.

It is an arithmetic number, because the mean of its divisors is an integer number (974408174250).

Almost surely, 210022003133132 is an apocalyptic number.

10022003133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022003133132 is an abundant number, since it is smaller than the sum of its proper divisors (13363793048868).

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

10022003133132 is a wasteful number, since it uses less digits than its factorization.

10022003133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40078745 (or 40078743 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10022003133132 its reverse (23133130022001), we get a palindrome (33155133155133).

The spelling of 10022003133132 in words is "ten trillion, twenty-two billion, three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 20849 41698 62547 83396 125094 250188 40057889 80115778 120173667 160231556 240347334 480694668 835166927761 1670333855522 2505500783283 3340667711044 5011001566566 10022003133132