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222133031000301 = 3312808785040311
BaseRepresentation
bin110010100000011101100000…
…011001111101100011101101
31002010111201011212020102120110
4302200131200121331203231
5213103411421414002201
62104234301120410233
764534403404600431
oct6240354031754355
91063451155212513
10222133031000301
11648620a9004723
1220ab6a52776979
1396c40939283b5
143cbd4205929c1
151aa32cadd06d6
hexca076067d8ed

222133031000301 has 16 divisors (see below), whose sum is σ = 305742372282368. Its totient is φ = 143306528799600.

The previous prime is 222133031000213. The next prime is 222133031000333. The reversal of 222133031000301 is 103000130331222.

222133031000301 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222133031000301 - 27 = 222133031000173 is a prime.

It is a super-2 number, since 2×2221330310003012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222133031000381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39908065 + ... + 45132246.

It is an arithmetic number, because the mean of its divisors is an integer number (19108898267648).

Almost surely, 2222133031000301 is an apocalyptic number.

It is an amenable number.

222133031000301 is a deficient number, since it is larger than the sum of its proper divisors (83609341282067).

222133031000301 is a wasteful number, since it uses less digits than its factorization.

222133031000301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85068432.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 222133031000301 its reverse (103000130331222), we get a palindrome (325133161331523).

The spelling of 222133031000301 in words is "two hundred twenty-two trillion, one hundred thirty-three billion, thirty-one million, three hundred one", and thus it is an aban number.

Divisors: 1 3 31 93 28087 84261 870697 2612091 85040311 255120933 2636249641 7908748923 2388527215057 7165581645171 74044343666767 222133031000301