Search a number
-
+
100405250431 = 30721065319
BaseRepresentation
bin101110110000010011…
…1101000100101111111
3100121011102012012022221
41131200213220211333
53121112221003211
6114043040550211
710153064355433
oct1354047504577
9317142165287
10100405250431
1139644167812
1217561622367
13961176bab5
144c06bd09c3
152929ad8c71
hex17609e897f

100405250431 has 6 divisors (see below), whose sum is σ = 100733463240. Its totient is φ = 100078103556.

The previous prime is 100405250357. The next prime is 100405250441. The reversal of 100405250431 is 134052504001.

It is a happy number.

It is not a de Polignac number, because 100405250431 - 225 = 100371695999 is a prime.

It is a super-2 number, since 2×1004052504312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100405250396 and 100405250405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100405250441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438411 + ... + 626908.

It is an arithmetic number, because the mean of its divisors is an integer number (16788910540).

Almost surely, 2100405250431 is an apocalyptic number.

100405250431 is a deficient number, since it is larger than the sum of its proper divisors (328212809).

100405250431 is an frugal number, since it uses more digits than its factorization.

100405250431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065933 (or 1065626 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 100405250431 its reverse (134052504001), we get a palindrome (234457754432).

The spelling of 100405250431 in words is "one hundred billion, four hundred five million, two hundred fifty thousand, four hundred thirty-one".

Divisors: 1 307 94249 1065319 327052933 100405250431