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133233130220320 = 25513237133169209
BaseRepresentation
bin11110010010110011000001…
…011001100010101100100000
3122110201221222220220211010101
4132102303001121202230200
5114430342422314022240
61151210242143112144
740030530112143304
oct3622630131425440
9573657886824111
10133233130220320
11394a79426a0a79
1212b395818a2654
135945aa4145700
1424c8737203d04
151060a75aa339a
hex792cc1662b20

133233130220320 has 144 divisors (see below), whose sum is σ = 350050183436520. Its totient is φ = 47864209416192.

The previous prime is 133233130220233. The next prime is 133233130220327. The reversal of 133233130220320 is 23022031332331.

It can be written as a sum of positive squares in 12 ways, for example, as 46481635216 + 133186648585104 = 215596^2 + 11540652^2 .

It is not an unprimeable number, because it can be changed into a prime (133233130220327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65584125 + ... + 67585084.

Almost surely, 2133233130220320 is an apocalyptic number.

133233130220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133233130220320 is an abundant number, since it is smaller than the sum of its proper divisors (216817053216200).

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

133233130220320 is a wasteful number, since it uses less digits than its factorization.

133233130220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133169287 (or 133169266 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 133233130220320 its reverse (23022031332331), we get a palindrome (156255161552651).

The spelling of 133233130220320 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, one hundred thirty million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 169 185 208 260 296 338 370 416 481 520 592 676 740 845 962 1040 1184 1352 1480 1690 1924 2080 2405 2704 2960 3380 3848 4810 5408 5920 6253 6760 7696 9620 12506 13520 15392 19240 25012 27040 31265 38480 50024 62530 76960 100048 125060 200096 250120 500240 1000480 133169209 266338418 532676836 665846045 1065353672 1331692090 1731199717 2130707344 2663384180 3462399434 4261414688 4927260733 5326768360 6924798868 8655998585 9854521466 10653536720 13849597736 17311997170 19709042932 21307073440 22505596321 24636303665 27699195472 34623994340 39418085864 45011192642 49272607330 55398390944 64054389529 69247988680 78836171728 90022385284 98545214660 112527981605 128108779058 138495977360 157672343456 180044770568 197090429320 225055963210 256217558116 276991954720 320271947645 360089541136 394180858640 450111926420 512435116232 640543895290 720179082272 788361717280 832707063877 900223852840 1024870232464 1281087790580 1665414127754 1800447705680 2049740464928 2562175581160 3330828255508 3600895411360 4163535319385 5124351162320 6661656511016 8327070638770 10248702324640 13323313022032 16654141277540 26646626044064 33308282555080 66616565110160 133233130220320