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233101330020 = 2232513541184133
BaseRepresentation
bin1101100100010111101…
…1000000011001100100
3211021200020021110212100
43121011323000121210
512304342420030040
6255030230252100
722561316420226
oct3310573003144
9737606243770
10233101330020
118a948695399
12392151b7030
1318c9b0867a0
14b3d438c416
1560e44aab30
hex3645ec0664

233101330020 has 144 divisors (see below), whose sum is σ = 762876000432. Its totient is φ = 57272417280.

The previous prime is 233101330001. The next prime is 233101330037. The reversal of 233101330020 is 20033101332.

233101330020 is a `hidden beast` number, since 2 + 3 + 310 + 1 + 330 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5434933284 + 227666396736 = 73722^2 + 477144^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 233101329975 and 233101330002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1173874 + ... + 1358006.

It is an arithmetic number, because the mean of its divisors is an integer number (5297750003).

Almost surely, 2233101330020 is an apocalyptic number.

233101330020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233101330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381438000216).

233101330020 is an abundant number, since it is smaller than the sum of its proper divisors (529774670412).

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

233101330020 is a wasteful number, since it uses less digits than its factorization.

233101330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184702 (or 184697 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 233101330020 its reverse (20033101332), we get a palindrome (253134431352).

The spelling of 233101330020 in words is "two hundred thirty-three billion, one hundred one million, three hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 541 585 780 1082 1170 1623 2164 2340 2705 3246 4869 5410 6492 7033 8115 9738 10820 14066 16230 19476 21099 24345 28132 32460 35165 42198 48690 63297 70330 84396 97380 105495 126594 140660 184133 210990 253188 316485 368266 421980 552399 632970 736532 920665 1104798 1265940 1657197 1841330 2209596 2393729 2761995 3314394 3682660 4787458 5523990 6628788 7181187 8285985 9574916 11047980 11968645 14362374 16571970 21543561 23937290 28724748 33143940 35905935 43087122 47874580 71811870 86174244 99615953 107717805 143623740 199231906 215435610 298847859 398463812 430871220 498079765 597695718 896543577 996159530 1195391436 1295007389 1494239295 1793087154 1992319060 2590014778 2988478590 3586174308 3885022167 4482717885 5180029556 5976957180 6475036945 7770044334 8965435770 11655066501 12950073890 15540088668 17930871540 19425110835 23310133002 25900147780 38850221670 46620266004 58275332505 77700443340 116550665010 233101330020