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1023031000000 = 26563161541
BaseRepresentation
bin11101110001100010110…
…01100011101111000000
310121210121210022110002001
432320301121203233000
5113230131414000000
62101550212433344
7133624443010432
oct16706131435700
93553553273061
101023031000000
11364957369099
1214632b018854
13756188bcba9
143772d0c4652
151b92864b46a
hexee31663bc0

1023031000000 has 392 divisors, whose sum is σ = 2667283358336. Its totient is φ = 388800000000.

The previous prime is 1023030999959. The next prime is 1023031000003. The reversal of 1023031000000 is 1303201.

1023031000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10230310000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023031000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1890999730 + ... + 1891000270.

Almost surely, 21023031000000 is an apocalyptic number.

1023031000000 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 1023031000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333641679168).

1023031000000 is an abundant number, since it is smaller than the sum of its proper divisors (1644252358336).

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

1023031000000 is an frugal number, since it uses more digits than its factorization.

1023031000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1023031000000 its reverse (1303201), we get a palindrome (1023032303201).

The spelling of 1023031000000 in words is "one trillion, twenty-three billion, thirty-one million", and thus it is an aban number and an uban number.