Search a number
-
+
100124133402 = 23177128149201
BaseRepresentation
bin101110100111111011…
…1010000100000011010
3100120102211012222021010
41131033313100200122
53120023234232102
6113555115354350
710143112043316
oct1351767204032
9316384188233
10100124133402
113950a510397
12174a34529b6
139598452b67
144bbb734b46
1529100a9d6c
hex174fdd081a

100124133402 has 64 divisors (see below), whose sum is σ = 215783440128. Its totient is φ = 30858240000.

The previous prime is 100124133397. The next prime is 100124133409. The reversal of 100124133402 is 204331421001.

100124133402 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (100124133409) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2010402 + ... + 2059602.

It is an arithmetic number, because the mean of its divisors is an integer number (3371616252).

Almost surely, 2100124133402 is an apocalyptic number.

100124133402 is an abundant number, since it is smaller than the sum of its proper divisors (115659306726).

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

100124133402 is a wasteful number, since it uses less digits than its factorization.

100124133402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49575.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100124133402 its reverse (204331421001), we get a palindrome (304455554403).

It can be divided in two parts, 10012 and 4133402, that added together give a palindrome (4143414).

The spelling of 100124133402 in words is "one hundred billion, one hundred twenty-four million, one hundred thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 17 34 51 71 102 142 213 281 426 562 843 1207 1686 2414 3621 4777 7242 9554 14331 19951 28662 39902 49201 59853 98402 119706 147603 295206 339167 678334 836417 1017501 1672834 2035002 2509251 3493271 5018502 6986542 10479813 13825481 20959626 27650962 41476443 59385607 82952886 118771214 178156821 235033177 356313642 470066354 705099531 981609151 1410199062 1963218302 2944827453 5889654906 16687355567 33374711134 50062066701 100124133402