Search a number
-
+
2314035100 = 2252131780027
BaseRepresentation
bin1000100111101101…
…0101111110011100
312222021021011101201
42021323111332130
514214343110400
61021341445244
7111225655006
oct21173257634
95867234351
102314035100
11a88237903
12546b70824
132ab54a550
1417d483376
15d824506a
hex89ed5f9c

2314035100 has 36 divisors (see below), whose sum is σ = 5407725064. Its totient is φ = 854412480.

The previous prime is 2314035071. The next prime is 2314035107. The reversal of 2314035100 is 15304132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314035107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888714 + ... + 891313.

Almost surely, 22314035100 is an apocalyptic number.

2314035100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314035100 is an abundant number, since it is smaller than the sum of its proper divisors (3093689964).

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

2314035100 is a wasteful number, since it uses less digits than its factorization.

2314035100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780054 (or 1780047 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2314035100 is about 48104.4187159558. The cubic root of 2314035100 is about 1322.6856668799.

Adding to 2314035100 its reverse (15304132), we get a palindrome (2329339232).

The spelling of 2314035100 in words is "two billion, three hundred fourteen million, thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1780027 3560054 7120108 8900135 17800270 23140351 35600540 44500675 46280702 89001350 92561404 115701755 178002700 231403510 462807020 578508775 1157017550 2314035100