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133221012 = 223293153233
BaseRepresentation
bin1111111000011…
…00101010010100
3100021200022212120
413330030222110
5233101033022
621115215540
73205234311
oct774145224
9307608776
10133221012
1169221a11
12387475b0
13217a5902
141399bd08
15ba67d5c
hex7f0ca94

133221012 has 96 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 40535040.

The previous prime is 133220987. The next prime is 133221017. The reversal of 133221012 is 210122331.

It is a junction number, because it is equal to n+sod(n) for n = 133220982 and 133221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133221017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571648 + ... + 571880.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2133221012 is an apocalyptic number.

133221012 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 133221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

133221012 is an abundant number, since it is smaller than the sum of its proper divisors (206434668).

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

133221012 is a wasteful number, since it uses less digits than its factorization.

133221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133221012 is about 11542.1407026600. The cubic root of 133221012 is about 510.7294597989.

Adding to 133221012 its reverse (210122331), we get a palindrome (343343343).

The spelling of 133221012 in words is "one hundred thirty-three million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 31 53 58 62 87 93 106 116 124 159 174 186 212 233 318 348 372 466 636 699 899 932 1398 1537 1643 1798 2697 2796 3074 3286 3596 4611 4929 5394 6148 6572 6757 7223 9222 9858 10788 12349 13514 14446 18444 19716 20271 21669 24698 27028 28892 37047 40542 43338 47647 49396 74094 81084 86676 95294 142941 148188 190588 209467 285882 358121 382819 418934 571764 628401 716242 765638 837868 1074363 1148457 1256802 1432484 1531276 2148726 2296914 2513604 4297452 4593828 11101751 22203502 33305253 44407004 66610506 133221012