Search a number
-
+
100223000032 = 254766637633
BaseRepresentation
bin101110101010111000…
…0011001110111100000
3100120200201020220210011
41131111300121313200
53120224042000112
6114013010414304
710145422305241
oct1352560316740
9316621226704
10100223000032
11395602a8351
1217510591394
1395b2a8a81c
144bca90ccc8
152918ad8aa7
hex1755c19de0

100223000032 has 24 divisors (see below), whose sum is σ = 201512205216. Its totient is φ = 49045297152.

The previous prime is 100222999937. The next prime is 100223000077. The reversal of 100223000032 is 230000322001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100222999976 and 100223000021.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 33317313 + ... + 33320320.

It is an arithmetic number, because the mean of its divisors is an integer number (8396341884).

Almost surely, 2100223000032 is an apocalyptic number.

It is an amenable number.

100223000032 is an abundant number, since it is smaller than the sum of its proper divisors (101289205184).

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

100223000032 is an equidigital number, since it uses as much as digits as its factorization.

100223000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66637690 (or 66637682 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 100223000032 its reverse (230000322001), we get a palindrome (330223322033).

The spelling of 100223000032 in words is "one hundred billion, two hundred twenty-three million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 66637633 133275266 266550532 533101064 1066202128 2132404256 3131968751 6263937502 12527875004 25055750008 50111500016 100223000032