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23223134121000 = 233531117101409861
BaseRepresentation
bin1010100011111000011101…
…01010001110110000101000
310001020002222010221120121120
411101330032222032300220
511020441434313333000
6121220321024135240
74614546625015632
oct521741652166050
9101202863846546
1023223134121000
11744396a870480
122730970767520
13cc5c16c213a8
145a4011877a52
152a4148a036a0
hex151f0ea8ec28

23223134121000 has 512 divisors, whose sum is σ = 84521544906240. Its totient is φ = 5246208000000.

The previous prime is 23223134120987. The next prime is 23223134121001. The reversal of 23223134121000 is 12143132232.

It is a super-3 number, since 3×232231341210003 (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23223134121001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56456070 + ... + 56865930.

It is an arithmetic number, because the mean of its divisors is an integer number (165081142395).

Almost surely, 223223134121000 is an apocalyptic number.

23223134121000 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 23223134121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42260772453120).

23223134121000 is an abundant number, since it is smaller than the sum of its proper divisors (61298410785240).

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

23223134121000 is a wasteful number, since it uses less digits than its factorization.

23223134121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410014 (or 410000 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23223134121000 its reverse (12143132232), we get a palindrome (23235277253232).

The spelling of 23223134121000 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred thirty-four million, one hundred twenty-one thousand".