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203213210331006 = 23271792222990547
BaseRepresentation
bin101110001101001001000011…
…001101110010011101111110
3222122111222211000202100212200
4232031021003031302131332
5203113421123321043011
62000110505434212330
760542445535426311
oct5615110315623576
9878458730670780
10203213210331006
1159828269524457
121a9600b8b840a6
138950c00c43355
143827801278978
1518760968a4856
hexb8d24337277e

203213210331006 has 96 divisors (see below), whose sum is σ = 452173821465600. Its totient is φ = 65934626546880.

The previous prime is 203213210330969. The next prime is 203213210331023. The reversal of 203213210331006 is 600133012312302.

203213210331006 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 1 + 321 + 0 + 331 + 0 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244239025 + ... + 2244329571.

It is an arithmetic number, because the mean of its divisors is an integer number (4710143973600).

Almost surely, 2203213210331006 is an apocalyptic number.

203213210331006 is an abundant number, since it is smaller than the sum of its proper divisors (248960611134594).

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

203213210331006 is a wasteful number, since it uses less digits than its factorization.

203213210331006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112934 (or 112931 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 203213210331006 its reverse (600133012312302), we get a palindrome (803346222643308).

The spelling of 203213210331006 in words is "two hundred three trillion, two hundred thirteen billion, two hundred ten million, three hundred thirty-one thousand, six".

Divisors: 1 2 3 6 9 18 71 79 142 158 213 237 426 474 639 711 1278 1422 5609 11218 16827 22229 33654 44458 50481 66687 90547 100962 133374 181094 200061 271641 400122 543282 814923 1578259 1629846 1756091 3156518 3512182 4734777 5268273 6428837 7153213 9469554 10536546 12857674 14204331 14306426 15804819 19286511 21459639 28408662 31609638 38573022 42919278 57859533 64378917 115719066 124682461 128757834 249364922 374047383 507878123 748094766 1015756246 1122142149 1523634369 2012769263 2244284298 3047268738 4025538526 4570903107 6038307789 9141806214 12076615578 18114923367 36229846734 142906617673 159008771777 285813235346 318017543554 428719853019 477026315331 857439706038 954052630662 1286159559057 1431078945993 2572319118114 2862157891986 11289622796167 22579245592334 33868868388501 67737736777002 101606605165503 203213210331006