Search a number
-
+
223000021212100 = 2252111012007200911
BaseRepresentation
bin110010101101000100111101…
…000011001001101111000100
31002020120121000220021112012121
4302231010331003021233010
5213212113020412241400
62110140443453455324
764654135261031416
oct6255047503115704
91066517026245177
10223000021212100
1165066861415020
1221016a93aa1544
139757a725bb842
143d0d3898da9b6
151abab2045921a
hexcad13d0c9bc4

223000021212100 has 72 divisors (see below), whose sum is σ = 533128619834496. Its totient is φ = 80288036400000.

The previous prime is 223000021212097. The next prime is 223000021212103. The reversal of 223000021212100 is 1212120000322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223000021212097) and next prime (223000021212103).

It is not an unprimeable number, because it can be changed into a prime (223000021212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003489356 + ... + 1003711555.

It is an arithmetic number, because the mean of its divisors is an integer number (7404564164368).

Almost surely, 2223000021212100 is an apocalyptic number.

223000021212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223000021212100 is an abundant number, since it is smaller than the sum of its proper divisors (310128598622396).

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

223000021212100 is a wasteful number, since it uses less digits than its factorization.

223000021212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007201037 (or 2007201030 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 223000021212100 its reverse (1212120000322), we get a palindrome (224212141212422).

The spelling of 223000021212100 in words is "two hundred twenty-three trillion, twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 2007200911 4014401822 8028803644 10036004555 20072009110 22079210021 40144018220 44158420042 50180022775 88316840084 100360045550 110396050105 200720091100 202727292011 220792100210 405454584022 441584200420 551980250525 810909168044 1013636460055 1103960501050 2027272920110 2207921002100 2230000212121 4054545840220 4460000424242 5068182300275 8920000848484 10136364600550 11150001060605 20272729201100 22300002121210 44600004242420 55750005303025 111500010606050 223000021212100