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30033232020 = 223251124162939
BaseRepresentation
bin11011111110000111…
…101100000010010100
32212112001211021010200
4123332013230002110
5443002001411040
621444100220500
72112152155131
oct337607540224
985461737120
1030033232020
1111811a81810
1259a209a730
132aa822c20c
14164ca19588
15bab9e0630
hex6fe1ec094

30033232020 has 144 divisors (see below), whose sum is σ = 99796656960. Its totient is φ = 7250457600.

The previous prime is 30033232007. The next prime is 30033232057. The reversal of 30033232020 is 2023233003.

30033232020 is a `hidden beast` number, since 300 + 3 + 323 + 20 + 20 = 666.

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 = 30033231984 and 30033232002.

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, 445711 + ... + 508649.

It is an arithmetic number, because the mean of its divisors is an integer number (693032340).

Almost surely, 230033232020 is an apocalyptic number.

30033232020 is a gapful number since it is divisible by the number (30) 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 30033232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49898328480).

30033232020 is an abundant number, since it is smaller than the sum of its proper divisors (69763424940).

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

30033232020 is a wasteful number, since it uses less digits than its factorization.

30033232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63206 (or 63201 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30033232020 its reverse (2023233003), we get a palindrome (32056465023).

The spelling of 30033232020 in words is "thirty billion, thirty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 241 330 396 482 495 660 723 964 990 1205 1446 1980 2169 2410 2651 2892 3615 4338 4820 5302 7230 7953 8676 10604 10845 13255 14460 15906 21690 23859 26510 31812 39765 43380 47718 53020 62939 79530 95436 119295 125878 159060 188817 238590 251756 314695 377634 477180 566451 629390 692329 755268 944085 1132902 1258780 1384658 1888170 2076987 2265804 2769316 2832255 3461645 3776340 4153974 5664510 6230961 6923290 8307948 10384935 11329020 12461922 13846580 15168299 20769870 24923844 30336598 31154805 41539740 45504897 60673196 62309610 75841495 91009794 124619220 136514691 151682990 166851289 182019588 227524485 273029382 303365980 333702578 455048970 500553867 546058764 667405156 682573455 834256445 910097940 1001107734 1365146910 1501661601 1668512890 2002215468 2502769335 2730293820 3003323202 3337025780 5005538670 6006646404 7508308005 10011077340 15016616010 30033232020