Search a number
-
+
100435201044 = 223131307208111
BaseRepresentation
bin101110110001001100…
…1111000110000010100
3100121020111112211211220
41131202121320300110
53121142402413134
6114050030530340
710153610060133
oct1354231706024
9317214484756
10100435201044
113965a064092
121756b6669b0
139617a27459
144c0ab8991a
15292c553149
hex1762678c14

100435201044 has 48 divisors (see below), whose sum is σ = 236908041216. Its totient is φ = 33114463200.

The previous prime is 100435201043. The next prime is 100435201063. The reversal of 100435201044 is 440102534001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100435201043) 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 15 ways as a sum of consecutive naturals, for example, 378549 + ... + 586659.

It is an arithmetic number, because the mean of its divisors is an integer number (4935584192).

Almost surely, 2100435201044 is an apocalyptic number.

It is an amenable number.

100435201044 is an abundant number, since it is smaller than the sum of its proper divisors (136472840172).

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

100435201044 is a wasteful number, since it uses less digits than its factorization.

100435201044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208556 (or 208554 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 100435201044 its reverse (440102534001), we get a palindrome (540537735045).

The spelling of 100435201044 in words is "one hundred billion, four hundred thirty-five million, two hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 12 131 262 307 393 524 614 786 921 1228 1572 1842 3684 40217 80434 120651 160868 208111 241302 416222 482604 624333 832444 1248666 2497332 27262541 54525082 63890077 81787623 109050164 127780154 163575246 191670231 255560308 327150492 383340462 766680924 8369600087 16739200174 25108800261 33478400348 50217600522 100435201044