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223012133122000 = 24531011104020461
BaseRepresentation
bin110010101101010000001110…
…111110011010111111010000
31002020121202021222222022002011
4302231100032332122333100
5213212312322034401000
62110150205402032304
764655044361413165
oct6255201676327720
91066552258868064
10223012133122000
1165070a07262212
12210192b41a8694
139758c529a6b31
143d0dbb832a06c
151abb0cd9332ba
hexcad40ef9afd0

223012133122000 has 80 divisors (see below), whose sum is σ = 544582381331664. Its totient is φ = 88321636800000.

The previous prime is 223012133121983. The next prime is 223012133122019. The reversal of 223012133122000 is 221331210322.

It can be written as a sum of positive squares in 8 ways, for example, as 51203584526224 + 171808548595776 = 7155668^2 + 13107576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551808231 + ... + 552212230.

Almost surely, 2223012133122000 is an apocalyptic number.

223012133122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223012133122000 is an abundant number, since it is smaller than the sum of its proper divisors (321570248209664).

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

223012133122000 is a wasteful number, since it uses less digits than its factorization.

223012133122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104020585 (or 1104020569 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 223012133122000 its reverse (221331210322), we get a palindrome (223233464332322).

The spelling of 223012133122000 in words is "two hundred twenty-three trillion, twelve billion, one hundred thirty-three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 20200 25250 40400 50500 101000 202000 1104020461 2208040922 4416081844 5520102305 8832163688 11040204610 17664327376 22080409220 27600511525 44160818440 55201023050 88321636880 110402046100 111506066561 138002557625 220804092200 223012133122 276005115250 441608184400 446024266244 552010230500 557530332805 892048532488 1104020461000 1115060665610 1784097064976 2208040922000 2230121331220 2787651664025 4460242662440 5575303328050 8920485324880 11150606656100 13938258320125 22301213312200 27876516640250 44602426624400 55753033280500 111506066561000 223012133122000