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212003231202 = 23471737329483
BaseRepresentation
bin1100010101110001100…
…0001001010111100010
3202021012212111000020000
43011130120021113202
511433140311344302
6241220513000430
721213431506110
oct3053430112742
9667185430200
10212003231202
1181a0132a494
1235107553116
1316cb8045649
14a392300ab0
1557ac13231c
hex315c6095e2

212003231202 has 160 divisors (see below), whose sum is σ = 576404180352. Its totient is φ = 56854503936.

The previous prime is 212003231171. The next prime is 212003231203. The reversal of 212003231202 is 202132300212.

212003231202 is a `hidden beast` number, since 21 + 200 + 323 + 120 + 2 = 666.

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 (212003231203) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 7175953 + ... + 7205435.

Almost surely, 2212003231202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212003231202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288202090176).

212003231202 is an abundant number, since it is smaller than the sum of its proper divisors (364400949150).

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

212003231202 is a wasteful number, since it uses less digits than its factorization.

212003231202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29894 (or 29885 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212003231202 its reverse (202132300212), we get a palindrome (414135531414).

The spelling of 212003231202 in words is "two hundred twelve billion, three million, two hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 373 378 459 567 714 746 918 1071 1119 1134 1377 2142 2238 2611 2754 3213 3357 5222 6341 6426 6714 7833 9639 10071 12682 15666 19023 19278 20142 23499 29483 30213 38046 44387 46998 57069 58966 60426 70497 88449 88774 114138 133161 140994 171207 176898 206381 211491 265347 266322 342414 399483 412762 422982 501211 513621 530694 619143 796041 798966 1002422 1027242 1198449 1238286 1503633 1592082 1857429 2388123 2396898 3007266 3508477 3595347 3714858 4510899 4776246 5572287 7016954 7190694 9021798 10525431 10997159 11144574 13532697 16716861 21050862 21994318 27065394 31576293 32991477 33433722 40598091 63152586 65982954 76980113 81196182 94728879 98974431 153960226 186951703 189457758 197948862 230940339 284186637 296923293 373903406 461880678 560855109 568373274 593846586 692821017 890769879 1121710218 1308661921 1385642034 1682565327 1781539758 2078463051 2617323842 3365130654 3925985763 4156926102 5047695981 6235389153 7851971526 10095391962 11777957289 12470778306 15143087943 23555914578 30286175886 35333871867 70667743734 106001615601 212003231202