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1002010110000 = 24354157229929
BaseRepresentation
bin11101001010011000111…
…01001110100000110000
310112210100210210121000120
432211030131032200300
5112404104042010000
62044152254050240
7132251513256024
oct16451435164060
93483323717016
101002010110000
11356a4a648329
121422431a9980
1373648872843
14366d73b4384
151b0e7e746a0
hexe94c74e830

1002010110000 has 400 divisors, whose sum is σ = 3272959192800. Its totient is φ = 264056832000.

The previous prime is 1002010109999. The next prime is 1002010110001. The reversal of 1002010110000 is 110102001.

It is an interprime number because it is at equal distance from previous prime (1002010109999) and next prime (1002010110001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1002010110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1078589536 + ... + 1078590464.

It is an arithmetic number, because the mean of its divisors is an integer number (8182397982).

Almost surely, 21002010110000 is an apocalyptic number.

1002010110000 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 1002010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636479596400).

1002010110000 is an abundant number, since it is smaller than the sum of its proper divisors (2270949082800).

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

1002010110000 is a wasteful number, since it uses less digits than its factorization.

1002010110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1002010110000 its reverse (110102001), we get a palindrome (1002120212001).

The spelling of 1002010110000 in words is "one trillion, two billion, ten million, one hundred ten thousand".