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2340342104100 = 223527111337210631
BaseRepresentation
bin100010000011100111010…
…000101000000000100100
322021201211110120002210220
4202003213100220000210
5301321010034312400
64551045513244340
7331040600441310
oct42034720500044
98251743502726
102340342104100
11822596117a90
123196a7a036b0
1313c9022957a0
14813b77b2b40
1540d271ec7a0
hex220e7428024

2340342104100 has 576 divisors, whose sum is σ = 9337421033472. Its totient is φ = 436762368000.

The previous prime is 2340342104083. The next prime is 2340342104117. The reversal of 2340342104100 is 14012430432.

It is an interprime number because it is at equal distance from previous prime (2340342104083) and next prime (2340342104117).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11005785 + ... + 11216415.

Almost surely, 22340342104100 is an apocalyptic number.

2340342104100 is a gapful number since it is divisible by the number (20) 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 2340342104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668710516736).

2340342104100 is an abundant number, since it is smaller than the sum of its proper divisors (6997078929372).

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

2340342104100 is a wasteful number, since it uses less digits than its factorization.

2340342104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210716 (or 210709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2340342104100 its reverse (14012430432), we get a palindrome (2354354534532).

It can be divided in two parts, 2340342 and 104100, that added together give a palindrome (2444442).

The spelling of 2340342104100 in words is "two trillion, three hundred forty billion, three hundred forty-two million, one hundred four thousand, one hundred".