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230022133201 = 72137277123701
BaseRepresentation
bin1101011000111001100…
…0110011010111010001
3210222201122020001220201
43112032120303113101
512232041131230301
6253400512335201
722422106605100
oct3261630632721
9728648201821
10230022133201
1189608552233
12386b5b44501
13188ca163633
14b1c144c037
155eb3ec1201
hex358e6335d1

230022133201 has 24 divisors (see below), whose sum is σ = 270505101096. Its totient is φ = 195014534400.

The previous prime is 230022133183. The next prime is 230022133279. The reversal of 230022133201 is 102331220032.

It can be written as a sum of positive squares in 4 ways, for example, as 558140625 + 229463992576 = 23625^2 + 479024^2 .

It is not a de Polignac number, because 230022133201 - 213 = 230022125009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230022193201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1797651 + ... + 1921351.

It is an arithmetic number, because the mean of its divisors is an integer number (11271045879).

Almost surely, 2230022133201 is an apocalyptic number.

It is an amenable number.

230022133201 is a deficient number, since it is larger than the sum of its proper divisors (40482967895).

230022133201 is a wasteful number, since it uses less digits than its factorization.

230022133201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124129 (or 124122 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 230022133201 its reverse (102331220032), we get a palindrome (332353353233).

The spelling of 230022133201 in words is "two hundred thirty billion, twenty-two million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 7 49 137 277 959 1939 6713 13573 37949 123701 265643 865907 1859501 6061349 16947037 34265177 118629259 239856239 830404813 1678993673 4694329249 32860304743 230022133201