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2114213334300 = 2232526740138737
BaseRepresentation
bin11110110001000000111…
…011110100110100011100
321111010011011101101102200
4132301000323310310130
5234114402103144200
64255131201051500
7305514114554004
oct36610073646434
97433134341380
102114213334300
117456a6345361
122a18b9926b90
131244a59283a2
147448547b004
1539edee3a800
hex1ec40ef4d1c

2114213334300 has 216 divisors, whose sum is σ = 6728238958896. Its totient is φ = 555173498880.

The previous prime is 2114213334293. The next prime is 2114213334353. The reversal of 2114213334300 is 34333124112.

It is a happy number.

2114213334300 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 21 + 3 + 334 + 300 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 241979532 + ... + 241988268.

Almost surely, 22114213334300 is an apocalyptic number.

2114213334300 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 2114213334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364119479448).

2114213334300 is an abundant number, since it is smaller than the sum of its proper divisors (4614025624596).

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

2114213334300 is a wasteful number, since it uses less digits than its factorization.

2114213334300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12837 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2114213334300 its reverse (34333124112), we get a palindrome (2148546458412).

The spelling of 2114213334300 in words is "two trillion, one hundred fourteen billion, two hundred thirteen million, three hundred thirty-four thousand, three hundred".