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133303201020 = 2232511337199777
BaseRepresentation
bin111110000100101111…
…1010110110011111100
3110202002010111020120100
41330021133112303330
54141001104413040
6141123314121100
712426243341013
oct1741137266374
9422063436510
10133303201020
11515961aaa30
1221a02b80190
13c755337b52
146648079a7a
153702d49b30
hex1f097d6cfc

133303201020 has 144 divisors (see below), whose sum is σ = 442423564128. Its totient is φ = 32219873280.

The previous prime is 133303201019. The next prime is 133303201021. The reversal of 133303201020 is 20102303331.

133303201020 is a `hidden beast` number, since 1 + 3 + 330 + 320 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133303201019) and next prime (133303201021).

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 = 133303200984 and 133303201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133303201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567372 + ... + 767148.

It is an arithmetic number, because the mean of its divisors is an integer number (3072385862).

Almost surely, 2133303201020 is an apocalyptic number.

133303201020 is a gapful number since it is divisible by the number (10) 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 133303201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211782064).

133303201020 is an abundant number, since it is smaller than the sum of its proper divisors (309120363108).

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

133303201020 is a wasteful number, since it uses less digits than its factorization.

133303201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200140 (or 200135 counting only the distinct ones).

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

Adding to 133303201020 its reverse (20102303331), we get a palindrome (153405504351).

The spelling of 133303201020 in words is "one hundred thirty-three billion, three hundred three million, two hundred one 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 99 110 132 165 180 198 220 330 337 396 495 660 674 990 1011 1348 1685 1980 2022 3033 3370 3707 4044 5055 6066 6740 7414 10110 11121 12132 14828 15165 18535 20220 22242 30330 33363 37070 44484 55605 60660 66726 74140 111210 133452 166815 199777 222420 333630 399554 599331 667260 799108 998885 1198662 1797993 1997770 2197547 2397324 2996655 3595986 3995540 4395094 5993310 6592641 7191972 8790188 8989965 10987735 11986620 13185282 17979930 19777923 21975470 26370564 32963205 35959860 39555846 43950940 65926410 67324849 79111692 98889615 131852820 134649698 197779230 201974547 269299396 336624245 395558460 403949094 605923641 673248490 740573339 807898188 1009872735 1211847282 1346496980 1481146678 2019745470 2221720017 2423694564 2962293356 3029618205 3702866695 4039490940 4443440034 6059236410 6665160051 7405733390 8886880068 11108600085 12118472820 13330320102 14811466780 22217200170 26660640204 33325800255 44434400340 66651600510 133303201020