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200213312312 = 2313113223241317
BaseRepresentation
bin1011101001110110100…
…1001011001100111000
3201010210012200001222102
42322131221023030320
511240014101443222
6231550550042532
720315321034536
oct2723551131470
9633705601872
10200213312312
1177a01216972
1232977049448
1315b59587890
14999456b156
15531c05cd92
hex2e9da4b338

200213312312 has 128 divisors (see below), whose sum is σ = 412681167360. Its totient is φ = 90512916480.

The previous prime is 200213312293. The next prime is 200213312317. The reversal of 200213312312 is 213213312002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200213312317) 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, 631587578 + ... + 631587894.

It is an arithmetic number, because the mean of its divisors is an integer number (3224071620).

Almost surely, 2200213312312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200213312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206340583680).

200213312312 is an abundant number, since it is smaller than the sum of its proper divisors (212467855048).

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

200213312312 is a wasteful number, since it uses less digits than its factorization.

200213312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 200213312312 its reverse (213213312002), we get a palindrome (413426624314).

It can be divided in two parts, 20021 and 3312312, that added together give a palindrome (3332333).

The spelling of 200213312312 in words is "two hundred billion, two hundred thirteen million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 113 223 226 241 317 446 452 482 634 892 904 964 1268 1469 1784 1928 2536 2899 2938 3133 4121 5798 5876 6266 8242 11596 11752 12532 16484 23192 25064 25199 27233 32968 35821 50398 53743 54466 70691 71642 76397 100796 107486 108932 141382 143284 152794 201592 214972 217864 282764 286568 305588 327587 354029 429944 465673 565528 611176 655174 698659 708058 918983 931346 993161 1310348 1397318 1416116 1837966 1862692 1986322 2620696 2794636 2832232 3675932 3725384 3972644 5589272 6072959 7351864 7945288 7988083 8632861 12145918 15976166 17036531 17265722 24291836 31952332 34073062 34531444 48583672 63904664 68146124 69062888 78948467 103845079 112227193 136292248 157896934 207690158 221474903 224454386 315793868 415380316 442949806 448908772 631587736 830760632 885899612 897817544 1771799224 1925128003 3850256006 7700512012 15401024024 25026664039 50053328078 100106656156 200213312312