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3102061076400 = 2435211313149399
BaseRepresentation
bin101101001001000001001…
…111111001111110110000
3101222112221222012010222210
4231021001033321332300
5401311010113421100
610333022302332120
7440054652043506
oct55110117717660
911875858163883
103102061076400
11a96638675000
12421249b8a040
131966a534c880
14aa1d7990676
1555a598a7c50
hex2d2413f9fb0

3102061076400 has 480 divisors, whose sum is σ = 11770721625600. Its totient is φ = 694162867200.

The previous prime is 3102061076381. The next prime is 3102061076449. The reversal of 3102061076400 is 46701602013.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20688901 + ... + 20838299.

It is an arithmetic number, because the mean of its divisors is an integer number (24522336720).

Almost surely, 23102061076400 is an apocalyptic number.

3102061076400 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 3102061076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885360812800).

3102061076400 is an abundant number, since it is smaller than the sum of its proper divisors (8668660549200).

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

3102061076400 is a wasteful number, since it uses less digits than its factorization.

3102061076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149466 (or 149433 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 3102061076400 its reverse (46701602013), we get a palindrome (3148762678413).

The spelling of 3102061076400 in words is "three trillion, one hundred two billion, sixty-one million, seventy-six thousand, four hundred".