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133311220200120 = 23351771920403343
BaseRepresentation
bin11110010011111011101111…
…111011001011001010111000
3122111000102120010222210222110
4132103323233323023022320
5114433132334332400440
61151310155030252320
740036263212053014
oct3623735773131270
9574012503883873
10133311220200120
1139527a75428666
1212b50735ab70a0
13595026a648b51
1424cc424427544
151062ae6535080
hex793eefecb2b8

133311220200120 has 128 divisors (see below), whose sum is σ = 429423384176640. Its totient is φ = 32987255777280.

The previous prime is 133311220200113. The next prime is 133311220200131. The reversal of 133311220200120 is 21002022113331.

It is a super-3 number, since 3×1333112202001203 (a number of 43 digits) contains 333 as substring.

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, 460056832 + ... + 460346511.

It is an arithmetic number, because the mean of its divisors is an integer number (3354870188880).

Almost surely, 2133311220200120 is an apocalyptic number.

133311220200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133311220200120 is an abundant number, since it is smaller than the sum of its proper divisors (296112163976520).

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

133311220200120 is a wasteful number, since it uses less digits than its factorization.

133311220200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920403445 (or 920403441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 133311220200120 its reverse (21002022113331), we get a palindrome (154313242313451).

The spelling of 133311220200120 in words is "one hundred thirty-three trillion, three hundred eleven billion, two hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 71 85 102 120 136 142 170 204 213 255 284 340 355 408 426 510 568 680 710 852 1020 1065 1207 1420 1704 2040 2130 2414 2840 3621 4260 4828 6035 7242 8520 9656 12070 14484 18105 24140 28968 36210 48280 72420 144840 920403343 1840806686 2761210029 3681613372 4602016715 5522420058 7363226744 9204033430 11044840116 13806050145 15646856831 18408066860 22089680232 27612100290 31293713662 36816133720 46940570493 55224200580 62587427324 65348637353 78234284155 93881140986 110448401160 125174854648 130697274706 156468568310 187762281972 196045912059 234702852465 261394549412 312937136620 326743186765 375524563944 392091824118 469405704930 522789098824 625874273240 653486373530 784183648236 938811409860 980229560295 1110926835001 1306972747060 1568367296472 1877622819720 1960459120590 2221853670002 2613945494120 3332780505003 3920918241180 4443707340004 5554634175005 6665561010006 7841836482360 8887414680008 11109268350010 13331122020012 16663902525015 22218536700020 26662244040024 33327805050030 44437073400040 66655610100060 133311220200120