Search a number
-
+
1000000020000 = 25354197391187
BaseRepresentation
bin11101000110101001010…
…01010101111000100000
310112121011201110102220210
432203110221111320200
5112341000001120000
62043221010534120
7132150634631232
oct16432451257040
93477151412823
101000000020000
11356108a39a23
12141981b97340
13733b82a4987
1436586450252
151b02b76c350
hexe8d4a55e20

1000000020000 has 480 divisors, whose sum is σ = 3460427308800. Its totient is φ = 252077184000.

The previous prime is 1000000019983. The next prime is 1000000020001. The reversal of 1000000020000 is 200000001.

It is a tau number, because it is divible by the number of its divisors (480).

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 not an unprimeable number, because it can be changed into a prime (1000000020001) 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, 842459407 + ... + 842460593.

It is an arithmetic number, because the mean of its divisors is an integer number (7209223560).

Almost surely, 21000000020000 is an apocalyptic number.

1000000020000 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 1000000020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730213654400).

1000000020000 is an abundant number, since it is smaller than the sum of its proper divisors (2460427288800).

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

1000000020000 is a wasteful number, since it uses less digits than its factorization.

1000000020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

Adding to 1000000020000 its reverse (200000001), we get a palindrome (1000200020001).

The spelling of 1000000020000 in words is "one trillion, twenty thousand".