Search a number
-
+
3102331230100 = 2252831831204137
BaseRepresentation
bin101101001001010001010…
…110011101011110010100
3101222120122210112101012101
4231021101112131132110
5401312033243330400
610333105152531444
7440064442234564
oct55112126353624
911876583471171
103102331230100
11a96767113523
12421304550b84
131967192ca62b
14aa2217d4da4
1555a7346d56a
hex2d25159d794

3102331230100 has 72 divisors (see below), whose sum is σ = 6816922314048. Its totient is φ = 1225305926400.

The previous prime is 3102331230077. The next prime is 3102331230149. The reversal of 3102331230100 is 10321332013.

3102331230100 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 2×31023312301002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 15095232 + ... + 15299368.

It is an arithmetic number, because the mean of its divisors is an integer number (94679476584).

Almost surely, 23102331230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102331230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408461157024).

3102331230100 is an abundant number, since it is smaller than the sum of its proper divisors (3714591083948).

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

3102331230100 is a wasteful number, since it uses less digits than its factorization.

3102331230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206065 (or 206058 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 3102331230100 its reverse (10321332013), we get a palindrome (3112652562113).

The spelling of 3102331230100 in words is "three trillion, one hundred two billion, three hundred thirty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 1831 2075 3662 4150 7324 8300 9155 18310 36620 45775 91550 151973 183100 204137 303946 408274 607892 759865 816548 1020685 1519730 2041370 3039460 3799325 4082740 5103425 7598650 10206850 15197300 16943371 20413700 33886742 67773484 84716855 169433710 338867420 373774847 423584275 747549694 847168550 1495099388 1694337100 1868874235 3737748470 7475496940 9344371175 18688742350 31023312301 37377484700 62046624602 124093249204 155116561505 310233123010 620466246020 775582807525 1551165615050 3102331230100