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3212133431 = 131226320149
BaseRepresentation
bin1011111101110101…
…0100010000110111
322021212012021200212
42333131110100313
523034301232211
61250423100035
7142412453333
oct27735242067
98255167625
103212133431
1113a9190431
127578a161b
133c2629490
142268667c3
1513bee838b
hexbf754437

3212133431 has 8 divisors (see below), whose sum is σ = 3459674400. Its totient is φ = 2964657312.

The previous prime is 3212133427. The next prime is 3212133439. The reversal of 3212133431 is 1343312123.

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 3212133431 - 22 = 3212133427 is a prime.

It is a super-4 number, since 4×32121334314 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3212133397 and 3212133406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212133439) 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, 149345 + ... + 169493.

It is an arithmetic number, because the mean of its divisors is an integer number (432459300).

Almost surely, 23212133431 is an apocalyptic number.

3212133431 is a deficient number, since it is larger than the sum of its proper divisors (247540969).

3212133431 is a wasteful number, since it uses less digits than its factorization.

3212133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32425.

The product of its digits is 1296, while the sum is 23.

The square root of 3212133431 is about 56675.6864184281. The cubic root of 3212133431 is about 1475.4727479764.

Adding to 3212133431 its reverse (1343312123), we get a palindrome (4555445554).

The spelling of 3212133431 in words is "three billion, two hundred twelve million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 13 12263 20149 159419 261937 247087187 3212133431