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1002155132000 = 25531179288307
BaseRepresentation
bin11101001010101010001…
…10011100010001100000
310112210201220200110210202
432211111012130101200
5112404403203211000
62044214514244332
7132255224033501
oct16452506342140
93483656613722
101002155132000
1135701449a520
121422838866a8
137366c91a989
143670c764ba8
151b105a6ddd5
hexe95519c460

1002155132000 has 192 divisors, whose sum is σ = 2720151383040. Its totient is φ = 359805888000.

The previous prime is 1002155131937. The next prime is 1002155132039. The reversal of 1002155132000 is 2315512001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3331847 + ... + 3620153.

It is an arithmetic number, because the mean of its divisors is an integer number (14167455120).

Almost surely, 21002155132000 is an apocalyptic number.

1002155132000 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 1002155132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360075691520).

1002155132000 is an abundant number, since it is smaller than the sum of its proper divisors (1717996251040).

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

1002155132000 is a wasteful number, since it uses less digits than its factorization.

1002155132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288422 (or 288404 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 1002155132000 in words is "one trillion, two billion, one hundred fifty-five million, one hundred thirty-two thousand".