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1002152253240 = 233453153792383
BaseRepresentation
bin11101001010101001110…
…11011101011100111000
310112210201201021012220000
432211110323131130320
5112404401434100430
62044214332433000
7132255160413555
oct16452473353470
93483651235800
101002152253240
11357012903686
12142282918760
137366c150578
143670c215a2c
151b1056a0e60
hexe954edd738

1002152253240 has 640 divisors, whose sum is σ = 3588953702400. Its totient is φ = 250423280640.

The previous prime is 1002152253233. The next prime is 1002152253283. The reversal of 1002152253240 is 423522512001.

1002152253240 is a `hidden beast` number, since 100 + 2 + 1 + 5 + 22 + 532 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 420541089 + ... + 420543471.

It is an arithmetic number, because the mean of its divisors is an integer number (5607740160).

Almost surely, 21002152253240 is an apocalyptic number.

1002152253240 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 1002152253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794476851200).

1002152253240 is an abundant number, since it is smaller than the sum of its proper divisors (2586801449160).

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

1002152253240 is a wasteful number, since it uses less digits than its factorization.

1002152253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1002152253240 its reverse (423522512001), we get a palindrome (1425674765241).

The spelling of 1002152253240 in words is "one trillion, two billion, one hundred fifty-two million, two hundred fifty-three thousand, two hundred forty".