Search a number
-
+
2023121023000 = 2353711171545547
BaseRepresentation
bin11101011100001011011…
…010001111000000011000
321011102000210010111220021
4131130023122033000120
5231121322440214000
64145224200440224
7266110552646260
oct35341332170030
97142023114807
102023121023000
11710001090660
12288117179074
13118a19717c7c
146dcc34827a0
153795cc4611a
hex1d70b68f018

2023121023000 has 256 divisors, whose sum is σ = 6249454248960. Its totient is φ = 593489664000.

The previous prime is 2023121022977. The next prime is 2023121023019. The reversal of 2023121023000 is 3201213202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 536227 + ... + 2081773.

It is an arithmetic number, because the mean of its divisors is an integer number (24411930660).

Almost surely, 22023121023000 is an apocalyptic number.

2023121023000 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 2023121023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124727124480).

2023121023000 is an abundant number, since it is smaller than the sum of its proper divisors (4226333225960).

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

2023121023000 is a wasteful number, since it uses less digits than its factorization.

2023121023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545603 (or 1545589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2023121023000 its reverse (3201213202), we get a palindrome (2026322236202).

The spelling of 2023121023000 in words is "two trillion, twenty-three billion, one hundred twenty-one million, twenty-three thousand".