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3140100100 = 2252101310901
BaseRepresentation
bin1011101100101010…
…0010000000000100
322002211122121112201
42323022202000010
522412331200400
61235331124244
7140546260534
oct27312420004
98084577481
103140100100
111371560755
12737743684
133b07282c7
1421b0754c4
15135a1a06a
hexbb2a2004

3140100100 has 36 divisors (see below), whose sum is σ = 6881504868. Its totient is φ = 1243600000.

The previous prime is 3140100097. The next prime is 3140100121. The reversal of 3140100100 is 10010413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 130919364 + 3009180736 = 11442^2 + 54856^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145351 + ... + 165550.

It is an arithmetic number, because the mean of its divisors is an integer number (191152913).

Almost surely, 23140100100 is an apocalyptic number.

It is an amenable number.

3140100100 is an abundant number, since it is smaller than the sum of its proper divisors (3741404768).

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

3140100100 is a wasteful number, since it uses less digits than its factorization.

3140100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311016 (or 311009 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3140100100 is about 56036.5960779204. The cubic root of 3140100100 is about 1464.3599109396.

Adding to 3140100100 its reverse (10010413), we get a palindrome (3150110513).

The spelling of 3140100100 in words is "three billion, one hundred forty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 310901 621802 1243604 1554505 3109010 6218020 7772525 15545050 31090100 31401001 62802002 125604004 157005005 314010010 628020020 785025025 1570050050 3140100100