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133120220312120 = 23553269904125819
BaseRepresentation
bin11110010001001001110111…
…011100011011001000111000
3122110100011120001000012010112
4132101021313130123020320
5114422020202344441440
61151042330204003452
740016422104564416
oct3621116734331070
9573304501005115
10133120220312120
1139463a71a24858
1212b1b710530588
13593824bb18c42
1424c30a578a2b6
15105cb682b0965
hex79127771b238

133120220312120 has 128 divisors (see below), whose sum is σ = 306352038168000. Its totient is φ = 52041421086720.

The previous prime is 133120220312071. The next prime is 133120220312147. The reversal of 133120220312120 is 21213022021331.

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, 5155888571 + ... + 5155914389.

Almost surely, 2133120220312120 is an apocalyptic number.

133120220312120 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 133120220312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153176019084000).

133120220312120 is an abundant number, since it is smaller than the sum of its proper divisors (173231817855880).

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

133120220312120 is a wasteful number, since it uses less digits than its factorization.

133120220312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35193 (or 35189 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 133120220312120 its reverse (21213022021331), we get a palindrome (154333242333451).

The spelling of 133120220312120 in words is "one hundred thirty-three trillion, one hundred twenty billion, two hundred twenty million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 269 424 530 538 1060 1076 1345 2120 2152 2690 5380 9041 10760 14257 18082 25819 28514 36164 45205 51638 57028 71285 72328 90410 103276 114056 129095 142570 180820 206552 258190 285140 361640 479173 516380 570280 958346 1032760 1368407 1916692 2395865 2432029 2736814 3833384 4791730 4864058 5473628 6842035 6945311 9583460 9728116 10947256 12160145 13684070 13890622 19166920 19456232 24320290 27368140 27781244 34726555 48640580 54736280 55562488 69453110 97281160 128897537 138906220 233429579 257795074 277812440 368101483 466859158 515590148 644487685 736202966 933718316 1031180296 1167147895 1288975370 1472405932 1840507415 1867436632 2334295790 2577950740 2944811864 3681014830 4668591580 5155901480 7362029660 9337183160 12371767687 14724059320 24743535374 49487070748 61858838435 62792556751 98974141496 123717676870 125585113502 247435353740 251170227004 313962783755 494870707480 502340454008 627925567510 1255851135020 2511702270040 3328005507803 6656011015606 13312022031212 16640027539015 26624044062424 33280055078030 66560110156060 133120220312120