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1001011818912 = 253729892332477
BaseRepresentation
bin11101001000100001111…
…01000011000110100000
310112200210020100011002120
432210100331003012200
5112400033011201122
62043505233144240
7132215002033260
oct16442075030640
93480706304076
101001011818912
11356588091476
121420049bb080
1373519ab3461
143664098d7a0
151b08a4ce75c
hexe910f431a0

1001011818912 has 384 divisors, whose sum is σ = 3156250406400. Its totient is φ = 271756886016.

The previous prime is 1001011818899. The next prime is 1001011818913. The reversal of 1001011818912 is 2198181101001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1001011818913) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404121418 + ... + 404123894.

It is an arithmetic number, because the mean of its divisors is an integer number (8219402100).

Almost surely, 21001011818912 is an apocalyptic number.

1001011818912 is a gapful number since it is divisible by the number (12) 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 1001011818912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578125203200).

1001011818912 is an abundant number, since it is smaller than the sum of its proper divisors (2155238587488).

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

1001011818912 is a wasteful number, since it uses less digits than its factorization.

1001011818912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 33.

Adding to 1001011818912 its reverse (2198181101001), we get a palindrome (3199192919913).

The spelling of 1001011818912 in words is "one trillion, one billion, eleven million, eight hundred eighteen thousand, nine hundred twelve".