Search a number
-
+
3120121410 = 235714857721
BaseRepresentation
bin1011100111111001…
…0100011001000010
322001110001120221020
42321332110121002
522342222341120
61233335010310
7140214410610
oct27176243102
98043046836
103120121410
11136125543a
12730b09996
133a95517b3
142185546b0
15133dc0640
hexb9f94642

3120121410 has 32 divisors (see below), whose sum is σ = 8558047872. Its totient is φ = 713170560.

The previous prime is 3120121399. The next prime is 3120121427. The reversal of 3120121410 is 141210213.

3120121410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31201214102 = 19470315226280776200, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3120121410.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7428651 + ... + 7429070.

It is an arithmetic number, because the mean of its divisors is an integer number (267438996).

Almost surely, 23120121410 is an apocalyptic number.

3120121410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3120121410 is an abundant number, since it is smaller than the sum of its proper divisors (5437926462).

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

3120121410 is a wasteful number, since it uses less digits than its factorization.

3120121410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14857738.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 3120121410 is about 55858.0469583390. The cubic root of 3120121410 is about 1461.2476683892.

Adding to 3120121410 its reverse (141210213), we get a palindrome (3261331623).

The spelling of 3120121410 in words is "three billion, one hundred twenty million, one hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 14857721 29715442 44573163 74288605 89146326 104004047 148577210 208008094 222865815 312012141 445731630 520020235 624024282 1040040470 1560060705 3120121410