Search a number
-
+
201432040100 = 22522292187881
BaseRepresentation
bin1011101110011001001…
…0010000001010100100
3201020221010220212012122
42323212102100022210
511300013100240400
6232311523405112
720360450043014
oct2734622201244
9636833825178
10201432040100
1178477154115
1233057223798
1315cc1c08395
149a6c373c44
15538e047685
hex2ee64902a4

201432040100 has 36 divisors (see below), whose sum is σ = 437131571268. Its totient is φ = 80568384000.

The previous prime is 201432040079. The next prime is 201432040153. The reversal of 201432040100 is 1040234102.

It can be written as a sum of positive squares in 6 ways, for example, as 604373056 + 200827667044 = 24584^2 + 448138^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2248160 + ... + 2336040.

Almost surely, 2201432040100 is an apocalyptic number.

201432040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201432040100 is an abundant number, since it is smaller than the sum of its proper divisors (235699531168).

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

201432040100 is a wasteful number, since it uses less digits than its factorization.

201432040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110816 (or 110809 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 201432040100 its reverse (1040234102), we get a palindrome (202472274202).

The spelling of 201432040100 in words is "two hundred one billion, four hundred thirty-two million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22921 45842 87881 91684 114605 175762 229210 351524 439405 458420 573025 878810 1146050 1757620 2197025 2292100 4394050 8788100 2014320401 4028640802 8057281604 10071602005 20143204010 40286408020 50358010025 100716020050 201432040100