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223120313001 = 3289278552201
BaseRepresentation
bin1100111111001100000…
…0011100101010101001
3210022220122020021111100
43033303000130222221
512123422300004001
6250300002352013
722056062240235
oct3176300345251
9708818207440
10223120313001
11866966665a3
12372aa65b609
131806a2b4861
14ab2896b5c5
155c0d0ec586
hex33f301caa9

223120313001 has 12 divisors (see below), whose sum is σ = 325906076340. Its totient is φ = 147075561600.

The previous prime is 223120312991. The next prime is 223120313021. The reversal of 223120313001 is 100313021322.

223120313001 is a `hidden beast` number, since 22 + 312 + 0 + 31 + 300 + 1 = 666.

223120313001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57226208400 + 165894104601 = 239220^2 + 407301^2 .

It is not a de Polignac number, because 223120313001 - 25 = 223120312969 is a prime.

It is a super-3 number, since 3×2231203130013 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223120313021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139275300 + ... + 139276901.

It is an arithmetic number, because the mean of its divisors is an integer number (27158839695).

Almost surely, 2223120313001 is an apocalyptic number.

It is an amenable number.

223120313001 is a deficient number, since it is larger than the sum of its proper divisors (102785763339).

223120313001 is a wasteful number, since it uses less digits than its factorization.

223120313001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278552296 (or 278552293 counting only the distinct ones).

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

Adding to 223120313001 its reverse (100313021322), we get a palindrome (323433334323).

The spelling of 223120313001 in words is "two hundred twenty-three billion, one hundred twenty million, three hundred thirteen thousand, one".

Divisors: 1 3 9 89 267 801 278552201 835656603 2506969809 24791145889 74373437667 223120313001