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223030131120 = 243251013066971
BaseRepresentation
bin1100111110110110100…
…0011011100110110000
3210022200100112120012200
43033231220123212300
512123231203143440
6250243021423200
722053615556266
oct3175550334660
9708610476180
10223030131120
118664a770615
123728440ab00
13180546cabb4
14ab1a9b4436
155c05236c30
hex33eda1b9b0

223030131120 has 120 divisors (see below), whose sum is σ = 756425706192. Its totient is φ = 58885824000.

The previous prime is 223030131101. The next prime is 223030131131. The reversal of 223030131120 is 21131030322.

223030131120 is a `hidden beast` number, since 2 + 2 + 30 + 301 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223030131093 and 223030131102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460766 + ... + 1606205.

Almost surely, 2223030131120 is an apocalyptic number.

223030131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223030131120 is an abundant number, since it is smaller than the sum of its proper divisors (533395575072).

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

223030131120 is a wasteful number, since it uses less digits than its factorization.

223030131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067091 (or 3067082 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 223030131120 its reverse (21131030322), we get a palindrome (244161161442).

The spelling of 223030131120 in words is "two hundred twenty-three billion, thirty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 404 505 606 720 808 909 1010 1212 1515 1616 1818 2020 2424 3030 3636 4040 4545 4848 6060 7272 8080 9090 12120 14544 18180 24240 36360 72720 3066971 6133942 9200913 12267884 15334855 18401826 24535768 27602739 30669710 36803652 46004565 49071536 55205478 61339420 73607304 92009130 110410956 122678840 138013695 147214608 184018260 220821912 245357680 276027390 309764071 368036520 441643824 552054780 619528142 736073040 929292213 1104109560 1239056284 1548820355 1858584426 2208219120 2478112568 2787876639 3097640710 3717168852 4646461065 4956225136 5575753278 6195281420 7434337704 9292922130 11151506556 12390562840 13939383195 14868675408 18585844260 22303013112 24781125680 27878766390 37171688520 44606026224 55757532780 74343377040 111515065560 223030131120