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102032422404 = 2231110116674591
BaseRepresentation
bin101111100000110011…
…0110011011000000100
3100202100211000002122120
41133001212303120010
53132430300004104
6114512324525540
710241313165153
oct1370146633004
9322324002576
10102032422404
113a2a9708140
12179365508b0
1398108c9553
144d1cd5959a
1529c28a3cd9
hex17c19b3604

102032422404 has 96 divisors (see below), whose sum is σ = 262504876032. Its totient is φ = 30587760000.

The previous prime is 102032422403. The next prime is 102032422411. The reversal of 102032422404 is 404224230201.

It is a super-2 number, since 2×1020324224042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102032422403) 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 31 ways as a sum of consecutive naturals, for example, 22222149 + ... + 22226739.

It is an arithmetic number, because the mean of its divisors is an integer number (2734425792).

Almost surely, 2102032422404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102032422404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131252438016).

102032422404 is an abundant number, since it is smaller than the sum of its proper divisors (160472453628).

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

102032422404 is a wasteful number, since it uses less digits than its factorization.

102032422404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6375 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102032422404 its reverse (404224230201), we get a palindrome (506256652605).

The spelling of 102032422404 in words is "one hundred two billion, thirty-two million, four hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 1667 2222 3333 3334 4444 4591 5001 6666 6668 9182 10002 13332 13773 18337 18364 20004 27546 36674 50501 55011 55092 73348 101002 110022 151503 168367 202004 220044 303006 336734 463691 505101 606012 673468 927382 1010202 1391073 1852037 1854764 2020404 2782146 3704074 5100601 5556111 5564292 7408148 7653197 10201202 11112222 15301803 15306394 20402404 22224444 22959591 30603606 30612788 45919182 61207212 84185167 91838364 168370334 252555501 336740668 505111002 772972897 1010222004 1545945794 2318918691 3091891588 4637837382 8502701867 9275674764 17005403734 25508105601 34010807468 51016211202 102032422404