Search a number
-
+
3103010114880 = 2635133137239907
BaseRepresentation
bin101101001001111001110…
…100001100110101000000
3101222122102002222022001010
4231021321310030311000
5401314431042134010
610333300403440520
7440120324533524
oct55117164146500
911878362868033
103103010114880
11a96a85350725
12421473986140
131967c6b55ac0
14aa287a33d84
1555ab2d6e620
hex2d279d0cd40

3103010114880 has 896 divisors, whose sum is σ = 11307684003840. Its totient is φ = 715401953280.

The previous prime is 3103010114857. The next prime is 3103010114887. The reversal of 3103010114880 is 884110103013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3103010114887) 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 127 ways as a sum of consecutive naturals, for example, 3421179387 + ... + 3421180293.

It is an arithmetic number, because the mean of its divisors is an integer number (12620183040).

Almost surely, 23103010114880 is an apocalyptic number.

3103010114880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3103010114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653842001920).

3103010114880 is an abundant number, since it is smaller than the sum of its proper divisors (8204673888960).

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

3103010114880 is a wasteful number, since it uses less digits than its factorization.

3103010114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

Adding to 3103010114880 its reverse (884110103013), we get a palindrome (3987120217893).

The spelling of 3103010114880 in words is "three trillion, one hundred three billion, ten million, one hundred fourteen thousand, eight hundred eighty".