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200213323002 = 2327112109711971
BaseRepresentation
bin1011101001110110100…
…1001101110011111010
3201010210012200121122100
42322131221031303322
511240014102314002
6231550550204230
720315321110650
oct2723551156372
9633705617570
10200213323002
1177a01223a00
1232977053676
1315b5958c6c4
149994570dd0
15531c06111c
hex2e9da4dcfa

200213323002 has 144 divisors (see below), whose sum is σ = 545475542976. Its totient is φ = 51951715200.

The previous prime is 200213322989. The next prime is 200213323007. The reversal of 200213323002 is 200323312002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200213323007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16718877 + ... + 16730847.

It is an arithmetic number, because the mean of its divisors is an integer number (3788024604).

Almost surely, 2200213323002 is an apocalyptic number.

200213323002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200213323002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272737771488).

200213323002 is an abundant number, since it is smaller than the sum of its proper divisors (345262219974).

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

200213323002 is a wasteful number, since it uses less digits than its factorization.

200213323002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105 (or 13091 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 200213323002 its reverse (200323312002), we get a palindrome (400536635004).

The spelling of 200213323002 in words is "two hundred billion, two hundred thirteen million, three hundred twenty-three thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1097 1386 1694 2178 2194 2541 3291 5082 6582 7623 7679 9873 11971 12067 15246 15358 19746 23037 23942 24134 35913 36201 46074 69111 71826 72402 83797 84469 107739 108603 131681 132737 138222 167594 168938 215478 217206 251391 253407 263362 265474 395043 398211 502782 506814 754173 760221 790086 796422 921767 929159 1185129 1194633 1448491 1508346 1520442 1843534 1858318 2370258 2389266 2765301 2787477 2896982 4345473 5530602 5574954 8295903 8362431 8690946 10139437 13036419 13132187 16591806 16724862 20278874 26072838 26264374 30418311 39396561 60836622 78793122 91254933 91925309 118189683 144454057 182509866 183850618 236379366 275775927 288908114 433362171 551551854 827327781 866724342 1011178399 1300086513 1588994627 1654655562 2022356798 2600173026 3033535197 3177989254 4766983881 6067070394 9100605591 9533967762 11122962389 14300951643 18201211182 22245924778 28601903286 33368887167 66737774334 100106661501 200213323002