Search a number
-
+
1000020120000 = 26354112832677
BaseRepresentation
bin11101000110101011101…
…10000001000111000000
310112121020010021121221020
432203111312001013000
5112341020122320000
62043223005425440
7132151300524636
oct16432566010700
93477203247836
101000020120000
113561193183a0
1214198886b280
13733bc4c1775
1436588da3356
151b02d3dcba0
hexe8d5d811c0

1000020120000 has 560 divisors, whose sum is σ = 3620969818752. Its totient is φ = 241482240000.

The previous prime is 1000020119993. The next prime is 1000020120037. The reversal of 1000020120000 is 210200001.

It is a happy number.

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 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 79 ways as a sum of consecutive naturals, for example, 373558662 + ... + 373561338.

Almost surely, 21000020120000 is an apocalyptic number.

1000020120000 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 1000020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810484909376).

1000020120000 is an abundant number, since it is smaller than the sum of its proper divisors (2620949698752).

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

1000020120000 is a wasteful number, since it uses less digits than its factorization.

1000020120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1000020120000 its reverse (210200001), we get a palindrome (1000230320001).

The spelling of 1000020120000 in words is "one trillion, twenty million, one hundred twenty thousand".