Search a number
-
+
100442632150 = 25271312190679
BaseRepresentation
bin101110110001011011…
…0001110111111010110
3100121021000112101102001
41131202312032333112
53121201303212100
6114050454105514
710154030200150
oct1354266167726
9317230471361
10100442632150
113966327a1a3
121757204b29a
139619429963
144c0bb61ad0
15292d01ed6a
hex1762d8efd6

100442632150 has 48 divisors (see below), whose sum is σ = 215142301440. Its totient is φ = 34174576800.

The previous prime is 100442632139. The next prime is 100442632153. The reversal of 100442632150 is 51236244001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100442632153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049490 + ... + 1141189.

It is an arithmetic number, because the mean of its divisors is an integer number (4482131280).

Almost surely, 2100442632150 is an apocalyptic number.

100442632150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100442632150 is an abundant number, since it is smaller than the sum of its proper divisors (114699669290).

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

100442632150 is a wasteful number, since it uses less digits than its factorization.

100442632150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190829 (or 2190824 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 100442632150 its reverse (51236244001), we get a palindrome (151678876151).

The spelling of 100442632150 in words is "one hundred billion, four hundred forty-two million, six hundred thirty-two thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 131 175 262 350 655 917 1310 1834 3275 4585 6550 9170 22925 45850 2190679 4381358 10953395 15334753 21906790 30669506 54766975 76673765 109533950 153347530 286978949 383368825 573957898 766737650 1434894745 2008852643 2869789490 4017705286 7174473725 10044263215 14348947450 20088526430 50221316075 100442632150