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1013022021000 = 2335311101303937
BaseRepresentation
bin11101011110111001101…
…00010101010110001000
310120211210020122122002010
432233130310111112020
5113044132114133000
62053213105335520
7133121426050563
oct16573464252610
93524706578063
101013022021000
11360690581020
121443b70375a0
13746b20aa802
143705daa54da
151b53eab7d50
hexebdcd15588

1013022021000 has 256 divisors, whose sum is σ = 3482108248320. Its totient is φ = 243148800000.

The previous prime is 1013022020963. The next prime is 1013022021007. The reversal of 1013022021000 is 1202203101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1013022021007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3181032 + ... + 3484968.

It is an arithmetic number, because the mean of its divisors is an integer number (13601985345).

Almost surely, 21013022021000 is an apocalyptic number.

1013022021000 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 1013022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741054124160).

1013022021000 is an abundant number, since it is smaller than the sum of its proper divisors (2469086227320).

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

1013022021000 is a wasteful number, since it uses less digits than its factorization.

1013022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304073 (or 304059 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1013022021000 its reverse (1202203101), we get a palindrome (1014224224101).

The spelling of 1013022021000 in words is "one trillion, thirteen billion, twenty-two million, twenty-one thousand".