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23133022131000 = 23353611009112527
BaseRepresentation
bin1010100001010000100111…
…00100010001001100111000
310000220111101002100012002110
411100220103210101030320
511013002412131143000
6121111055203332320
74605206565521625
oct520502344211470
9100814332305073
1023133022131000
117409728a09671
1227174023810a0
13cba585b4b052
1459d903b4734c
152a1b22904850
hex150a13911338

23133022131000 has 256 divisors, whose sum is σ = 73371352504320. Its totient is φ = 6066592320000.

The previous prime is 23133022130983. The next prime is 23133022131029. The reversal of 23133022131000 is 13122033132.

It is a super-2 number, since 2×231330221310002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1846646737 + ... + 1846659263.

It is an arithmetic number, because the mean of its divisors is an integer number (286606845720).

Almost surely, 223133022131000 is an apocalyptic number.

23133022131000 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 23133022131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36685676252160).

23133022131000 is an abundant number, since it is smaller than the sum of its proper divisors (50238330373320).

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

23133022131000 is a wasteful number, since it uses less digits than its factorization.

23133022131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22703 (or 22689 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23133022131000 its reverse (13122033132), we get a palindrome (23146144164132).

The spelling of 23133022131000 in words is "twenty-three trillion, one hundred thirty-three billion, twenty-two million, one hundred thirty-one thousand".