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331230233133 = 32291493850021
BaseRepresentation
bin1001101000111101101…
…11000100001000101101
31011122222000010020201100
410310132313010020231
520411324414430013
6412055353233313
732634123345612
oct4643667041055
91148860106640
10331230233133
11118523916728
1254240402839
13253090422b7
1412062b0a509
1589392e6473
hex4d1edc422d

331230233133 has 24 divisors (see below), whose sum is σ = 495273818520. Its totient is φ = 213062613120.

The previous prime is 331230233107. The next prime is 331230233149. The reversal of 331230233133 is 331332032133.

331230233133 is a `hidden beast` number, since 3 + 312 + 30 + 2 + 3 + 313 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146607049449 + 184623183684 = 382893^2 + 429678^2 .

It is not a de Polignac number, because 331230233133 - 25 = 331230233101 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331230233097 and 331230233106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331230233333) 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 23 ways as a sum of consecutive naturals, for example, 35338 + ... + 814683.

It is an arithmetic number, because the mean of its divisors is an integer number (20636409105).

Almost surely, 2331230233133 is an apocalyptic number.

It is an amenable number.

331230233133 is a deficient number, since it is larger than the sum of its proper divisors (164043585387).

331230233133 is a wasteful number, since it uses less digits than its factorization.

331230233133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851549 (or 851546 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 331230233133 its reverse (331332032133), we get a palindrome (662562265266).

The spelling of 331230233133 in words is "three hundred thirty-one billion, two hundred thirty million, two hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 261 1493 4479 13437 43297 129891 389673 850021 2550063 7650189 24650609 73951827 221855481 1269081353 3807244059 11421732177 36803359237 110410077711 331230233133