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233130312213 = 32337101904121
BaseRepresentation
bin1101100100011110100…
…1100100001000010101
3211021202020210220221220
43121013221210020111
512304422324442323
6255033143400553
722562120646351
oct3310751441025
9737666726856
10233130312213
118a962a90117
1239222a53159
1318ca4093406
14b3d8174461
1560e6cd30e3
hex3647a64215

233130312213 has 32 divisors (see below), whose sum is σ = 336420179712. Its totient is φ = 143212608000.

The previous prime is 233130312199. The next prime is 233130312229. The reversal of 233130312213 is 312213031332.

It is not a de Polignac number, because 233130312213 - 213 = 233130304021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233130314213) 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 31 ways as a sum of consecutive naturals, for example, 194208 + ... + 709913.

It is an arithmetic number, because the mean of its divisors is an integer number (10513130616).

Almost surely, 2233130312213 is an apocalyptic number.

233130312213 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

233130312213 is a deficient number, since it is larger than the sum of its proper divisors (103289867499).

233130312213 is a wasteful number, since it uses less digits than its factorization.

233130312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904285.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 233130312213 its reverse (312213031332), we get a palindrome (545343343545).

The spelling of 233130312213 in words is "two hundred thirty-three billion, one hundred thirty million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 23 37 69 101 111 303 851 2323 2553 3737 6969 11211 85951 257853 904121 2712363 20794783 33452477 62384349 91316221 100357431 273948663 769406971 2100273083 2308220913 3378700177 6300819249 10136100531 77710104071 233130312213