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131233402212 = 223112431209701
BaseRepresentation
bin111101000111000011…
…1101100110101100100
3110112201212210120101020
41322032013230311210
54122231222332322
6140142055131140
712324041341113
oct1721607546544
9415655716336
10131233402212
115072391a500
1221525973ab0
13c4b5592723
1464cd211c7a
15363129b05c
hex1e8e1ecd64

131233402212 has 72 divisors (see below), whose sum is σ = 337361867136. Its totient is φ = 39675240000.

The previous prime is 131233402151. The next prime is 131233402213. The reversal of 131233402212 is 212204332131.

It is a super-2 number, since 2×1312334022122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131233402213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520962 + ... + 730662.

It is an arithmetic number, because the mean of its divisors is an integer number (4685581488).

Almost surely, 2131233402212 is an apocalyptic number.

131233402212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131233402212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168680933568).

131233402212 is an abundant number, since it is smaller than the sum of its proper divisors (206128464924).

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

131233402212 is a wasteful number, since it uses less digits than its factorization.

131233402212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210161 (or 210148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131233402212 its reverse (212204332131), we get a palindrome (343437734343).

The spelling of 131233402212 in words is "one hundred thirty-one billion, two hundred thirty-three million, four hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 431 484 726 862 1293 1452 1724 2586 4741 5172 9482 14223 18964 28446 52151 56892 104302 156453 208604 209701 312906 419402 625812 629103 838804 1258206 2306711 2516412 4613422 6920133 9226844 13840266 25373821 27680532 50747642 76121463 90381131 101495284 152242926 180762262 271143393 304485852 361524524 542286786 994192441 1084573572 1988384882 2982577323 3976769764 5965154646 10936116851 11930309292 21872233702 32808350553 43744467404 65616701106 131233402212