Search a number
-
+
1001231000000 = 265671113003
BaseRepresentation
bin11101001000111100000…
…01001010000111000000
310112201100111202201000122
432210132001022013000
5112401010114000000
62043543103035412
7132223303036220
oct16443601120700
93481314681018
101001231000000
1135668a885470
1214206629bb68
13735533251ca
1436661b26080
151b09e877085
hexe91e04a1c0

1001231000000 has 392 divisors, whose sum is σ = 3096537863808. Its totient is φ = 312048000000.

The previous prime is 1001230999987. The next prime is 1001231000039. The reversal of 1001231000000 is 1321001.

It is a super-2 number, since 2×10012310000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76993499 + ... + 77006501.

Almost surely, 21001231000000 is an apocalyptic number.

1001231000000 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 1001231000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548268931904).

1001231000000 is an abundant number, since it is smaller than the sum of its proper divisors (2095306863808).

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

1001231000000 is an frugal number, since it uses more digits than its factorization.

1001231000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13063 (or 13028 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 1001231000000 its reverse (1321001), we get a palindrome (1001232321001).

The spelling of 1001231000000 in words is "one trillion, one billion, two hundred thirty-one million", and thus it is an aban number.