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213053412 = 2231121311287
BaseRepresentation
bin11001011001011…
…10111111100100
3112211220020100010
430230232333210
5414020202122
633050250220
75164631655
oct1454567744
9484806303
10213053412
11aa299200
125b426970
13351a7910
142041d52c
1513a86e0c
hexcb2efe4

213053412 has 72 divisors (see below), whose sum is σ = 588511168. Its totient is φ = 59590080.

The previous prime is 213053389. The next prime is 213053429. The reversal of 213053412 is 214350312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13233 + ... + 24519.

Almost surely, 2213053412 is an apocalyptic number.

213053412 is a gapful number since it is divisible by the number (22) 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 213053412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294255584).

213053412 is an abundant number, since it is smaller than the sum of its proper divisors (375457756).

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

213053412 is a wasteful number, since it uses less digits than its factorization.

213053412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11329 (or 11316 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 213053412 is about 14596.3492695948. The cubic root of 213053412 is about 597.2591766543.

The spelling of 213053412 in words is "two hundred thirteen million, fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 9438 11287 18876 22574 33861 45148 67722 124157 135444 146731 248314 293462 372471 440193 496628 586924 744942 880386 1365727 1489884 1614041 1760772 2731454 3228082 4097181 4842123 5462908 6456164 8194362 9684246 16388724 17754451 19368492 35508902 53263353 71017804 106526706 213053412