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3140312100 = 2235237282911
BaseRepresentation
bin1011101100101101…
…0101110000100100
322002212001101100120
42323023111300210
522412404441400
61235335441540
7140551132602
oct27313256044
98085041316
103140312100
111371695a62
127378262b0
133b07a0953
1421b0cc872
15135a5cca0
hexbb2d5c24

3140312100 has 72 divisors (see below), whose sum is σ = 9331569408. Its totient is φ = 814780800.

The previous prime is 3140312093. The next prime is 3140312113. The reversal of 3140312100 is 12130413.

3140312100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3140312100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130356 + ... + 152555.

Almost surely, 23140312100 is an apocalyptic number.

3140312100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3140312100 is an abundant number, since it is smaller than the sum of its proper divisors (6191257308).

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

3140312100 is a wasteful number, since it uses less digits than its factorization.

3140312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282965 (or 282958 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3140312100 is about 56038.4876669597. The cubic root of 3140312100 is about 1464.3928650181.

Adding to 3140312100 its reverse (12130413), we get a palindrome (3152442513).

The spelling of 3140312100 in words is "three billion, one hundred forty million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 282911 565822 848733 1131644 1414555 1697466 2829110 3394932 4243665 5658220 7072775 8487330 10467707 14145550 16974660 20935414 21218325 28291100 31403121 41870828 42436650 52338535 62806242 84873300 104677070 125612484 157015605 209354140 261692675 314031210 523385350 628062420 785078025 1046770700 1570156050 3140312100