Search a number
-
+
100134111400 = 23524112211477
BaseRepresentation
bin101110101000001110…
…1010100100010101000
3100120110111222220111121
41131100131110202220
53120033313031100
6114000113305024
710143262621561
oct1352035244250
9316414886447
10100134111400
1139515105a74
12174a6865174
13959a5376bb
144bbcbb1168
152910dcb51a
hex17507548a8

100134111400 has 48 divisors (see below), whose sum is σ = 238490165340. Its totient is φ = 39076723200.

The previous prime is 100134111367. The next prime is 100134111403. The reversal of 100134111400 is 4111431001.

It can be written as a sum of positive squares in 6 ways, for example, as 2436607044 + 97697504356 = 49362^2 + 312566^2 .

It is not an unprimeable number, because it can be changed into a prime (100134111403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6097539 + ... + 6113938.

Almost surely, 2100134111400 is an apocalyptic number.

100134111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100134111400 is an abundant number, since it is smaller than the sum of its proper divisors (138356053940).

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

100134111400 is a wasteful number, since it uses less digits than its factorization.

100134111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12211534 (or 12211525 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100134111400 its reverse (4111431001), we get a palindrome (104245542401).

The spelling of 100134111400 in words is "one hundred billion, one hundred thirty-four million, one hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 12211477 24422954 48845908 61057385 97691816 122114770 244229540 305286925 488459080 500670557 610573850 1001341114 1221147700 2002682228 2442295400 2503352785 4005364456 5006705570 10013411140 12516763925 20026822280 25033527850 50067055700 100134111400