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223112134131000 = 233531012221331537
BaseRepresentation
bin110010101110101101010111…
…011111111111110100111000
31002020222022102020111220102020
4302232231113133333310320
5213220432122314143000
62110304144402434440
764665214450103322
oct6256552737776470
91066868366456366
10223112134131000
11650aa3632173a4
1221034762362a20
1397654cb77a8ca
143d14983570612
151abd9d2cbbba0
hexcaeb577ffd38

223112134131000 has 256 divisors, whose sum is σ = 703320681697920. Its totient is φ = 58880793600000.

The previous prime is 223112134130987. The next prime is 223112134131011. The reversal of 223112134131000 is 131431211322.

It is a super-3 number, since 3×2231121341310003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672797232 + ... + 673128768.

Almost surely, 2223112134131000 is an apocalyptic number.

223112134131000 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 223112134131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351660340848960).

223112134131000 is an abundant number, since it is smaller than the sum of its proper divisors (480208547566920).

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

223112134131000 is a wasteful number, since it uses less digits than its factorization.

223112134131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333883 (or 333869 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 223112134131000 its reverse (131431211322), we get a palindrome (223243565342322).

The spelling of 223112134131000 in words is "two hundred twenty-three trillion, one hundred twelve billion, one hundred thirty-four million, one hundred thirty-one thousand".