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2023071126000 = 243533724137813
BaseRepresentation
bin11101011100001000011…
…011111001000111110000
321011101220022020111002020
4131130020123321013300
5231121222202013000
64145215215151440
7266106405561051
oct35341033710760
97141808214066
102023071126000
1170aa85a00271
12288102515580
13118a0c297712
146dcba9b4728
153795868bba0
hex1d7086f91f0

2023071126000 has 320 divisors, whose sum is σ = 6726635051136. Its totient is φ = 522713088000.

The previous prime is 2023071125927. The next prime is 2023071126001. The reversal of 2023071126000 is 6211703202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023071126001) 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, 53483094 + ... + 53520906.

Almost surely, 22023071126000 is an apocalyptic number.

2023071126000 is a gapful number since it is divisible by the number (20) 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 2023071126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363317525568).

2023071126000 is an abundant number, since it is smaller than the sum of its proper divisors (4703563925136).

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

2023071126000 is a wasteful number, since it uses less digits than its factorization.

2023071126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38117 (or 38101 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 2023071126000 its reverse (6211703202), we get a palindrome (2029282829202).

The spelling of 2023071126000 in words is "two trillion, twenty-three billion, seventy-one million, one hundred twenty-six thousand".