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233121132131 = 2353191239649
BaseRepresentation
bin1101100100011100011…
…0100010111001100011
3211021201121112112020212
43121013012202321203
512304413002212011
6255032214524335
722561646633306
oct3310706427143
9737647475225
10233121132131
118a95888aa78
123921b9666ab
1318ca21cab04
14b3d6c64b3d
1560e60bd08b
hex36471a2e63

233121132131 has 8 divisors (see below), whose sum is σ = 247846586400. Its totient is φ = 218778157312.

The previous prime is 233121132119. The next prime is 233121132157. The reversal of 233121132131 is 131231121332.

233121132131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233121132131 - 234 = 215941262947 is a prime.

It is a super-2 number, since 2×2331211321312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233121132097 and 233121132106.

It is not an unprimeable number, because it can be changed into a prime (233121102131) 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, 95618606 + ... + 95621043.

It is an arithmetic number, because the mean of its divisors is an integer number (30980823300).

Almost surely, 2233121132131 is an apocalyptic number.

233121132131 is a deficient number, since it is larger than the sum of its proper divisors (14725454269).

233121132131 is a wasteful number, since it uses less digits than its factorization.

233121132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191239725.

The product of its digits is 648, while the sum is 23.

Adding to 233121132131 its reverse (131231121332), we get a palindrome (364352253463).

The spelling of 233121132131 in words is "two hundred thirty-three billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 23 53 1219 191239649 4398511927 10135701397 233121132131