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2042312322114 = 23223434722710753
BaseRepresentation
bin11101101110000011010…
…011001110110001000010
321020020120020221112002100
4131232003103032301002
5231430123423301424
64202120400531230
7300360255210531
oct35560323166102
97206506845070
102042312322114
1171815a076739
1228b992320b16
1311a7876b456c
1470bc41b6318
15381d29bbdc9
hex1db834cec42

2042312322114 has 192 divisors, whose sum is σ = 4847018102784. Its totient is φ = 619696078848.

The previous prime is 2042312322097. The next prime is 2042312322139. The reversal of 2042312322114 is 4112232132402.

2042312322114 is a `hidden beast` number, since 2 + 0 + 423 + 1 + 2 + 3 + 221 + 14 = 666.

It is a Curzon number.

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, 189924162 + ... + 189934914.

It is an arithmetic number, because the mean of its divisors is an integer number (25244885952).

Almost surely, 22042312322114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042312322114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423509051392).

2042312322114 is an abundant number, since it is smaller than the sum of its proper divisors (2804705780670).

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

2042312322114 is a wasteful number, since it uses less digits than its factorization.

2042312322114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11101 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2042312322114 its reverse (4112232132402), we get a palindrome (6154544454516).

The spelling of 2042312322114 in words is "two trillion, forty-two billion, three hundred twelve million, three hundred twenty-two thousand, one hundred fourteen".