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233103130312 = 23136136743873
BaseRepresentation
bin1101100100011000000…
…1110111111011001000
3211021200100122221101211
43121012001313323020
512304343400132222
6255030333022504
722561340626003
oct3310601677310
9737610587354
10233103130312
118a949704a38
1239215924a34
1318c9b567050
14b3d46da53a
1560e4714277
hex3646077ec8

233103130312 has 32 divisors (see below), whose sum is σ = 478405239480. Its totient is φ = 105822351360.

The previous prime is 233103130303. The next prime is 233103130319. The reversal of 233103130312 is 213031301332.

233103130312 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 4 ways, for example, as 36682208676 + 196420921636 = 191526^2 + 443194^2 .

It is a super-2 number, since 2×2331031303122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233103130319) 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 7 ways as a sum of consecutive naturals, for example, 18365593 + ... + 18378280.

Almost surely, 2233103130312 is an apocalyptic number.

It is an amenable number.

233103130312 is an abundant number, since it is smaller than the sum of its proper divisors (245302109168).

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

233103130312 is a wasteful number, since it uses less digits than its factorization.

233103130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36743953 (or 36743949 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 233103130312 its reverse (213031301332), we get a palindrome (446134431644).

The spelling of 233103130312 in words is "two hundred thirty-three billion, one hundred three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 3172 6344 36743873 73487746 146975492 293950984 477670349 955340698 1910681396 2241376253 3821362792 4482752506 8965505012 17931010024 29137891289 58275782578 116551565156 233103130312