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1014202003320 = 2333511521163859
BaseRepresentation
bin11101100001000110010…
…01100110111101111000
310120221211110222221112000
432300203021212331320
5113104041203101240
62053530140421000
7133162604534352
oct16604311467570
93527743887460
101014202003320
11361136655220
12144686247760
137483c6b37bc
14371326a40d2
151b5ad49c430
hexec23266f78

1014202003320 has 256 divisors, whose sum is σ = 3695108544000. Its totient is φ = 245393740800.

The previous prime is 1014202003319. The next prime is 1014202003337. The reversal of 1014202003320 is 233002024101.

1014202003320 is a `hidden beast` number, since 1 + 0 + 142 + 0 + 200 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1014202003293 and 1014202003302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6107551 + ... + 6271409.

It is an arithmetic number, because the mean of its divisors is an integer number (14434017750).

Almost surely, 21014202003320 is an apocalyptic number.

1014202003320 is a gapful number since it is divisible by the number (10) 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 1014202003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847554272000).

1014202003320 is an abundant number, since it is smaller than the sum of its proper divisors (2680906540680).

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

1014202003320 is a wasteful number, since it uses less digits than its factorization.

1014202003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164411 (or 164401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1014202003320 its reverse (233002024101), we get a palindrome (1247204027421).

The spelling of 1014202003320 in words is "one trillion, fourteen billion, two hundred two million, three thousand, three hundred twenty".