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230100322122 = 2321117671020301
BaseRepresentation
bin1101011001001100001…
…1000100011101001010
3210222221002100110221200
43112103003010131022
512232221140301442
6253412344245030
722424046316116
oct3262303043512
9728832313850
10230100322122
11896486a6780
1238718170776
131891040b578
14b1cb9a2746
155ebacb834c
hex35930c474a

230100322122 has 96 divisors (see below), whose sum is σ = 584461635264. Its totient is φ = 64646208000.

The previous prime is 230100322117. The next prime is 230100322129. The reversal of 230100322122 is 221223001032.

230100322122 is a `hidden beast` number, since 230 + 100 + 322 + 12 + 2 = 666.

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 = 230100322095 and 230100322104.

It is not an unprimeable number, because it can be changed into a prime (230100322129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284629 + ... + 735672.

It is an arithmetic number, because the mean of its divisors is an integer number (6088142034).

Almost surely, 2230100322122 is an apocalyptic number.

230100322122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

230100322122 is an abundant number, since it is smaller than the sum of its proper divisors (354361313142).

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

230100322122 is a wasteful number, since it uses less digits than its factorization.

230100322122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020404 (or 1020401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230100322122 its reverse (221223001032), we get a palindrome (451323323154).

The spelling of 230100322122 in words is "two hundred thirty billion, one hundred million, three hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 67 99 102 134 153 187 198 201 306 374 402 561 603 737 1122 1139 1206 1474 1683 2211 2278 3366 3417 4422 6633 6834 10251 12529 13266 20502 25058 37587 75174 112761 225522 1020301 2040602 3060903 6121806 9182709 11223311 17345117 18365418 22446622 33669933 34690234 52035351 67339866 68360167 101009799 104070702 136720334 156106053 190796287 202019598 205080501 312212106 381592574 410161002 572388861 615241503 751961837 1144777722 1162122839 1230483006 1503923674 1717166583 2255885511 2324245678 3434333166 3486368517 4511771022 6767656533 6972737034 10459105551 12783351229 13535313066 20918211102 25566702458 38350053687 76700107374 115050161061 230100322122