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1230313122 = 232371999283
BaseRepresentation
bin100100101010101…
…0001011010100010
310011202001101022200
41021111101122202
510004430004442
6322025514030
742326326503
oct11125213242
93152041280
101230313122
11581530505
122a4042916
13167b78b3c
14b9580baa
157302734c
hex495516a2

1230313122 has 48 divisors (see below), whose sum is σ = 2751777600. Its totient is φ = 396972576.

The previous prime is 1230313037. The next prime is 1230313129. The reversal of 1230313122 is 2213130321.

1230313122 is a `hidden beast` number, since 1 + 230 + 313 + 122 = 666.

It is a super-3 number, since 3×12303131223 (a number of 28 digits) contains 333 as substring.

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 = 1230313095 and 1230313104.

It is not an unprimeable number, because it can be changed into a prime (1230313129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127893 + ... + 137175.

It is an arithmetic number, because the mean of its divisors is an integer number (57328700).

Almost surely, 21230313122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375888800).

1230313122 is an abundant number, since it is smaller than the sum of its proper divisors (1521464478).

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

1230313122 is a wasteful number, since it uses less digits than its factorization.

1230313122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9524 counting only the distinct ones).

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

The square root of 1230313122 is about 35075.8196197894. The cubic root of 1230313122 is about 1071.5321811727.

Adding to 1230313122 its reverse (2213130321), we get a palindrome (3443443443).

It can be divided in two parts, 12303 and 13122, that added together give a triangular number (25425 = T225).

The spelling of 1230313122 in words is "one billion, two hundred thirty million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 199 222 333 398 597 666 1194 1791 3582 7363 9283 14726 18566 22089 27849 44178 55698 66267 83547 132534 167094 343471 686942 1030413 1847317 2060826 3091239 3694634 5541951 6182478 11083902 16625853 33251706 68350729 136701458 205052187 410104374 615156561 1230313122