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133002030300 = 22352598390533
BaseRepresentation
bin111101111011110001…
…0011110110011011100
3110201022010210012000020
41323313202132303130
54134342004432200
6141033355032140
712415625414166
oct1736742366334
9421263705006
10133002030300
11514511a6a07
122193a13b650
13c707b1a219
14661a07d936
1536d66a8ea0
hex1ef789ecdc

133002030300 has 144 divisors (see below), whose sum is σ = 396060900480. Its totient is φ = 34445615360.

The previous prime is 133002030277. The next prime is 133002030311. The reversal of 133002030300 is 3030200331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133002030300.

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, 1423834 + ... + 1514366.

It is an arithmetic number, because the mean of its divisors is an integer number (2750422920).

Almost surely, 2133002030300 is an apocalyptic number.

133002030300 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 133002030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198030450240).

133002030300 is an abundant number, since it is smaller than the sum of its proper divisors (263058870180).

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

133002030300 is a wasteful number, since it uses less digits than its factorization.

133002030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90692 (or 90685 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 133002030300 its reverse (3030200331), we get a palindrome (136032230631).

The spelling of 133002030300 in words is "one hundred thirty-three billion, two million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 83 100 118 150 166 177 236 249 295 300 332 354 415 498 590 708 830 885 996 1180 1245 1475 1660 1770 2075 2490 2950 3540 4150 4425 4897 4980 5900 6225 8300 8850 9794 12450 14691 17700 19588 24485 24900 29382 48970 58764 73455 90533 97940 122425 146910 181066 244850 271599 293820 362132 367275 452665 489700 543198 734550 905330 1086396 1357995 1469100 1810660 2263325 2715990 4526650 5341447 5431980 6789975 7514239 9053300 10682894 13579950 15028478 16024341 21365788 22542717 26707235 27159900 30056956 32048682 37571195 45085434 53414470 64097364 75142390 80121705 90170868 106828940 112713585 133536175 150284780 160243410 187855975 225427170 267072350 320486820 375711950 400608525 443340101 450854340 534144700 563567925 751423900 801217050 886680202 1127135850 1330020303 1602434100 1773360404 2216700505 2254271700 2660040606 4433401010 5320081212 6650101515 8866802020 11083502525 13300203030 22167005050 26600406060 33250507575 44334010100 66501015150 133002030300