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133113333103320 = 233510975113551079
BaseRepresentation
bin11110010001000011011100…
…111011110011101011011000
3122110022111210001111201210010
4132101003130323303223120
5114421412101233301240
61151035230535121520
740016056325353443
oct3621033473635330
9573274701451703
10133113333103320
1139461058308959
1212b1a309b132a0
1359376c1cb496b
1424c2a10bd065a
15105c8b3826280
hex7910dcef3ad8

133113333103320 has 128 divisors (see below), whose sum is σ = 403540321536000. Its totient is φ = 35124394176000.

The previous prime is 133113333103291. The next prime is 133113333103379. The reversal of 133113333103320 is 23301333311331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3047541 + ... + 16598619.

It is an arithmetic number, because the mean of its divisors is an integer number (3152658762000).

Almost surely, 2133113333103320 is an apocalyptic number.

133113333103320 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 133113333103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201770160768000).

133113333103320 is an abundant number, since it is smaller than the sum of its proper divisors (270426988432680).

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

133113333103320 is a wasteful number, since it uses less digits than its factorization.

133113333103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13551953 (or 13551949 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 133113333103320 its reverse (23301333311331), we get a palindrome (156414666414651).

The spelling of 133113333103320 in words is "one hundred thirty-three trillion, one hundred thirteen billion, three hundred thirty-three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 751 872 1090 1308 1502 1635 2180 2253 2616 3004 3270 3755 4360 4506 6008 6540 7510 9012 11265 13080 15020 18024 22530 30040 45060 81859 90120 163718 245577 327436 409295 491154 654872 818590 982308 1227885 1637180 1964616 2455770 3274360 4911540 9823080 13551079 27102158 40653237 54204316 67755395 81306474 108408632 135510790 162612948 203266185 271021580 325225896 406532370 542043160 813064740 1477067611 1626129480 2954135222 4431202833 5908270444 7385338055 8862405666 10176860329 11816540888 14770676110 17724811332 20353720658 22156014165 29541352220 30530580987 35449622664 40707441316 44312028330 50884301645 59082704440 61061161974 81414882632 88624056660 101768603290 122122323948 152652904935 177248113320 203537206580 244244647896 305305809870 407074413160 610611619740 1109277775861 1221223239480 2218555551722 3327833327583 4437111103444 5546388879305 6655666655166 8874222206888 11092777758610 13311333310332 16639166637915 22185555517220 26622666620664 33278333275830 44371111034440 66556666551660 133113333103320