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1020232323000 = 2332531197131811
BaseRepresentation
bin11101101100010101001…
…01011100111110111000
310121112101202002220222100
432312022211130332320
5113203413433314000
62100404355223400
7133465210442322
oct16661245347670
93545352086870
101020232323000
113637506046a0
121458898a7b60
1375290b36bb7
1437545526612
151b812ac3a00
hexed8a95cfb8

1020232323000 has 768 divisors, whose sum is σ = 3834391841280. Its totient is φ = 242611200000.

The previous prime is 1020232322983. The next prime is 1020232323013. The reversal of 1020232323000 is 3232320201.

It is a happy number.

1020232323000 is a `hidden beast` number, since 102 + 0 + 232 + 32 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1257992595 + ... + 1257993405.

It is an arithmetic number, because the mean of its divisors is an integer number (4992697710).

Almost surely, 21020232323000 is an apocalyptic number.

1020232323000 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 1020232323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917195920640).

1020232323000 is an abundant number, since it is smaller than the sum of its proper divisors (2814159518280).

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

1020232323000 is a wasteful number, since it uses less digits than its factorization.

1020232323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1020232323000 its reverse (3232320201), we get a palindrome (1023464643201).

The spelling of 1020232323000 in words is "one trillion, twenty billion, two hundred thirty-two million, three hundred twenty-three thousand".