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232323313131 = 35713173716703
BaseRepresentation
bin1101100001011110001…
…1000110110111101011
3211012200000022010100000
43120113203012313223
512301244232010011
6254421114514043
722533121402350
oct3302743066753
9735600263300
10232323313131
118a5894a9828
1239038735923
1318ba5b2c870
14b35cd06627
15609b027356
hex36178c6deb

232323313131 has 192 divisors, whose sum is σ = 465796251648. Its totient is φ = 112211785728.

The previous prime is 232323313127. The next prime is 232323313133. The reversal of 232323313131 is 131313323232.

232323313131 is a `hidden beast` number, since 2 + 323 + 2 + 331 + 3 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 232323313131 - 22 = 232323313127 is a prime.

It is a super-2 number, since 2×2323233131312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232323313095 and 232323313104.

It is not an unprimeable number, because it can be changed into a prime (232323313133) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13900726 + ... + 13917428.

It is an arithmetic number, because the mean of its divisors is an integer number (2426022144).

Almost surely, 2232323313131 is an apocalyptic number.

232323313131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232323313131 is an abundant number, since it is smaller than the sum of its proper divisors (233472938517).

232323313131 is a wasteful number, since it uses less digits than its factorization.

232323313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16792 (or 16780 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 232323313131 its reverse (131313323232), we get a palindrome (363636636363).

The spelling of 232323313131 in words is "two hundred thirty-two billion, three hundred twenty-three million, three hundred thirteen thousand, one hundred thirty-one".