Search a number
-
+
100031100200 = 2352500155501
BaseRepresentation
bin101110100101001010…
…0010111010100101000
3100120012100011101200222
41131022110113110220
53114330430201300
6113541553345212
710140602215433
oct1351224272450
9316170141628
10100031100200
1139471a48149
1217478268208
1395820ab425
144bad23881a
152906d2e785
hex174a517528

100031100200 has 24 divisors (see below), whose sum is σ = 232572308430. Its totient is φ = 40012440000.

The previous prime is 100031100181. The next prime is 100031100209. The reversal of 100031100200 is 2001130001.

It can be written as a sum of positive squares in 3 ways, for example, as 83704905124 + 16326195076 = 289318^2 + 127774^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100031100209) 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 5 ways as a sum of consecutive naturals, for example, 250077551 + ... + 250077950.

Almost surely, 2100031100200 is an apocalyptic number.

100031100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031100200 is an abundant number, since it is smaller than the sum of its proper divisors (132541208230).

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

100031100200 is a wasteful number, since it uses less digits than its factorization.

100031100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500155517 (or 500155508 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 100031100200 its reverse (2001130001), we get a palindrome (102032230201).

The spelling of 100031100200 in words is "one hundred billion, thirty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 500155501 1000311002 2000622004 2500777505 4001244008 5001555010 10003110020 12503887525 20006220040 25007775050 50015550100 100031100200