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233301011020 = 225711197973377
BaseRepresentation
bin1101100101000111010…
…0101110101001001100
3211022012011000022200221
43121101310232221030
512310300024323040
6255102122201124
722566262605460
oct3312164565114
9738164008627
10233301011020
118aa4037a710
12392700531a4
131900055b81c
14b412aca4a0
156106ca074a
hex3651d2ea4c

233301011020 has 96 divisors (see below), whose sum is σ = 642973201920. Its totient is φ = 68889968640.

The previous prime is 233301011017. The next prime is 233301011023. The reversal of 233301011020 is 20110103332.

233301011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233301011017) and next prime (233301011023).

It is a super-2 number, since 2×2333010110202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233301010985 and 233301011003.

It is not an unprimeable number, because it can be changed into a prime (233301011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3957429 + ... + 4015948.

It is an arithmetic number, because the mean of its divisors is an integer number (6697637520).

Almost surely, 2233301011020 is an apocalyptic number.

233301011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233301011020 is an abundant number, since it is smaller than the sum of its proper divisors (409672190900).

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

233301011020 is a wasteful number, since it uses less digits than its factorization.

233301011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7973423 (or 7973421 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 233301011020 its reverse (20110103332), we get a palindrome (253411114352).

The spelling of 233301011020 in words is "two hundred thirty-three billion, three hundred one million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5852 7315 14630 29260 7973377 15946754 31893508 39866885 55813639 79733770 87707147 111627278 151494163 159467540 175414294 223254556 279068195 302988326 350828588 438535735 558136390 605976652 613950029 757470815 877071470 1060459141 1116272780 1227900058 1514941630 1666435793 1754142940 2120918282 2455800116 3029883260 3069750145 3332871586 4241836564 5302295705 6139500290 6665743172 8332178965 10604591410 11665050551 12279000580 16664357930 21209182820 23330101102 33328715860 46660202204 58325252755 116650505510 233301011020