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213631136312 = 231112891883341
BaseRepresentation
bin1100011011110101101…
…0000111001000111000
3202102102022200011012212
43012331122013020320
512000004032330222
6242050224354252
721301656461126
oct3067532071070
9672368604185
10213631136312
1182667230710
12354a0775988
13171b739b9c9
14a4a85ba916
155854ee46e2
hex31bd687238

213631136312 has 32 divisors (see below), whose sum is σ = 437312012400. Its totient is φ = 97029676800.

The previous prime is 213631136291. The next prime is 213631136339.

213631136312 is nontrivially palindromic in base 10.

213631136312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2136311363122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 828239 + ... + 1055102.

Almost surely, 2213631136312 is an apocalyptic number.

213631136312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213631136312 is an abundant number, since it is smaller than the sum of its proper divisors (223680876088).

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

213631136312 is a wasteful number, since it uses less digits than its factorization.

213631136312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884647 (or 1884643 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 213631 and 136312, that added together give a palindrome (349943).

The spelling of 213631136312 in words is "two hundred thirteen billion, six hundred thirty-one million, one hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 1289 2578 5156 10312 14179 28358 56716 113432 1883341 3766682 7533364 15066728 20716751 41433502 82867004 165734008 2427626549 4855253098 9710506196 19421012392 26703892039 53407784078 106815568156 213631136312