Search a number
-
+
100955046460 = 22527671824269
BaseRepresentation
bin101111000000101100…
…0111100001000111100
3100122120201201201200211
41132001120330020330
53123223442441320
6114213401002204
710202521510342
oct1360130741074
9318521651624
10100955046460
11398a65456a4
1217695783364
13969b63a4a8
144c59c29992
15295cedb55a
hex178163c23c

100955046460 has 24 divisors (see below), whose sum is σ = 212082333120. Its totient is φ = 40367402304.

The previous prime is 100955046407. The next prime is 100955046461. The reversal of 100955046460 is 64640559001.

It is a happy number.

100955046460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100955046461) 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 7 ways as a sum of consecutive naturals, for example, 856795 + ... + 967474.

It is an arithmetic number, because the mean of its divisors is an integer number (8836763880).

Almost surely, 2100955046460 is an apocalyptic number.

100955046460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100955046460 is an abundant number, since it is smaller than the sum of its proper divisors (111127286660).

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

100955046460 is a wasteful number, since it uses less digits than its factorization.

100955046460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827045 (or 1827043 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 100955046460 in words is "one hundred billion, nine hundred fifty-five million, forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 2767 5534 11068 13835 27670 55340 1824269 3648538 7297076 9121345 18242690 36485380 5047752323 10095504646 20191009292 25238761615 50477523230 100955046460