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200330110032 = 243132354125801
BaseRepresentation
bin1011101010010010011…
…0101110010001010000
3201011002100110000022220
42322210212232101100
511240234002010112
6232010321301040
720321236560633
oct2724446562120
9634070400286
10200330110032
1177a61140808
12329aa194780
1315b77830060
1499a5c91c1a
15532742e98c
hex2ea49ae450

200330110032 has 160 divisors (see below), whose sum is σ = 582657874176. Its totient is φ = 58848768000.

The previous prime is 200330110031. The next prime is 200330110037. The reversal of 200330110032 is 230011033002.

It is a junction number, because it is equal to n+sod(n) for n = 200330109993 and 200330110020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200330110031) 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 31 ways as a sum of consecutive naturals, for example, 7751532 + ... + 7777332.

Almost surely, 2200330110032 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 200330110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291328937088).

200330110032 is an abundant number, since it is smaller than the sum of its proper divisors (382327764144).

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

200330110032 is a wasteful number, since it uses less digits than its factorization.

200330110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26389 (or 26383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 200330110032 its reverse (230011033002), we get a palindrome (430341143034).

The spelling of 200330110032 in words is "two hundred billion, three hundred thirty million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 541 552 598 624 897 1082 1104 1196 1623 1794 2164 2392 3246 3588 4328 4784 6492 7033 7176 8656 12443 12984 14066 14352 21099 24886 25801 25968 28132 37329 42198 49772 51602 56264 74658 77403 84396 99544 103204 112528 149316 154806 161759 168792 199088 206408 298632 309612 323518 335413 337584 412816 485277 593423 597264 619224 647036 670826 970554 1006239 1186846 1238448 1294072 1341652 1780269 1941108 2012478 2373692 2588144 2683304 3560538 3882216 4024956 4747384 5366608 7121076 7714499 7764432 8049912 9494768 13958341 14242152 15428998 16099824 23143497 27916682 28484304 30857996 41875023 46286994 55833364 61715992 83750046 92573988 111666728 123431984 167500092 181458433 185147976 223333456 321041843 335000184 362916866 370295952 544375299 642083686 670000368 725833732 963125529 1088750598 1284167372 1451667464 1926251058 2177501196 2568334744 2903334928 3852502116 4173543959 4355002392 5136669488 7705004232 8347087918 8710004784 12520631877 15410008464 16694175836 25041263754 33388351672 50082527508 66776703344 100165055016 200330110032