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3102211021200 = 2435283283110059
BaseRepresentation
bin101101001001001010001…
…011111001100110010000
3101222120100102100010120220
4231021022023321212100
5401311312010134300
610333045220233040
7440061452413404
oct55111213714620
911876312303526
103102211021200
11a96705279825
1242129023b780
131966ca42c5c5
14aa20d863104
1555a67b25da0
hex2d24a2f9990

3102211021200 has 240 divisors, whose sum is σ = 10092773187840. Its totient is φ = 814393981440.

The previous prime is 3102211021177. The next prime is 3102211021223. The reversal of 3102211021200 is 21201122013.

It is an interprime number because it is at equal distance from previous prime (3102211021177) and next prime (3102211021223).

It is a tau number, because it is divible by the number of its divisors (240).

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 3102211021200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 28131771 + ... + 28241829.

It is an arithmetic number, because the mean of its divisors is an integer number (42053221616).

Almost surely, 23102211021200 is an apocalyptic number.

3102211021200 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 3102211021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046386593920).

3102211021200 is an abundant number, since it is smaller than the sum of its proper divisors (6990562166640).

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

3102211021200 is a wasteful number, since it uses less digits than its factorization.

3102211021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110446 (or 110435 counting only the distinct ones).

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

Adding to 3102211021200 its reverse (21201122013), we get a palindrome (3123412143213).

The spelling of 3102211021200 in words is "three trillion, one hundred two billion, two hundred eleven million, twenty-one thousand, two hundred".