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1000100010000 = 24354713379901
BaseRepresentation
bin11101000110110101001…
…10110001100000010000
310112121102200121110102010
432203122212301200100
5112341201100310000
62043234542022520
7132153260552250
oct16433246614020
93477380543363
101000100010000
1135615a423993
121419ab577a40
1373402c13a60
143659583b960
151b03541dd50
hexe8da9b1810

1000100010000 has 800 divisors, whose sum is σ = 4081288169728. Its totient is φ = 205286400000.

The previous prime is 1000100009969. The next prime is 1000100010017. The reversal of 1000100010000 is 100010001.

Adding to 1000100010000 its reverse (100010001), we get a palindrome (1000200020001).

Subtracting from 1000100010000 its reverse (100010001), we obtain a palindrome (999999999999).

1000100010000 divided by its reverse (100010001) gives a 4-th power (10000 = 104).

It is a Harshad number since it is a multiple of its sum of digits (3).

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

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 159 ways as a sum of consecutive naturals, for example, 101005050 + ... + 101014950.

Almost surely, 21000100010000 is an apocalyptic number.

1000100010000 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 1000100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040644084864).

1000100010000 is an abundant number, since it is smaller than the sum of its proper divisors (3081188159728).

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

1000100010000 is a wasteful number, since it uses less digits than its factorization.

1000100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The spelling of 1000100010000 in words is "one trillion, one hundred million, ten thousand".