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133302033020 = 225131744416791
BaseRepresentation
bin111110000100101101…
…0111001101001111100
3110202002001021220101002
41330021122321221330
54141000310024040
6141123233105432
712426230404532
oct1741132715174
9422061256332
10133302033020
1151595582442
1221a026b8278
13c755019320
146647c54152
153702bb8a15
hex1f096b9a7c

133302033020 has 96 divisors (see below), whose sum is σ = 319319957376. Its totient is φ = 46306713600.

The previous prime is 133302032993. The next prime is 133302033079. The reversal of 133302033020 is 20330203331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133302032983 and 133302033001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19625825 + ... + 19632615.

It is an arithmetic number, because the mean of its divisors is an integer number (3326249556).

Almost surely, 2133302033020 is an apocalyptic number.

133302033020 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 133302033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159659978688).

133302033020 is an abundant number, since it is smaller than the sum of its proper divisors (186017924356).

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

133302033020 is a wasteful number, since it uses less digits than its factorization.

133302033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11271 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 133302033020 its reverse (20330203331), we get a palindrome (153632236351).

The spelling of 133302033020 in words is "one hundred thirty-three billion, three hundred two million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 4441 6791 8882 13582 17764 22205 27164 33955 44410 57733 67910 75497 88283 88820 115447 115466 135820 150994 176566 230894 230932 288665 301988 353132 377485 441415 461788 577235 577330 754970 882830 981461 1154470 1154660 1500811 1509940 1765660 1962922 2308940 3001622 3925844 4907305 6003244 7504055 9814610 15008110 19629220 30016220 30158831 60317662 120635324 150794155 301588310 392064803 512700127 603176620 784129606 1025400254 1568259212 1960324015 2050800508 2563500635 3920648030 5127001270 6665101651 7841296060 10254002540 13330203302 26660406604 33325508255 66651016510 133302033020