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133323112203320 = 235131785317680891
BaseRepresentation
bin11110010100000110110100…
…101111100100010000111000
3122111001120020220220011120102
4132110012310233210100320
5114433331213211001240
61151315443041214532
740040164002320204
oct3624066457442070
9574046226804512
10133323112203320
1139532018126686
1212b52ab4631448
1359514142ca030
1424ccc31971b04
151063090571815
hex7941b4be4438

133323112203320 has 128 divisors (see below), whose sum is σ = 342456246498240. Its totient is φ = 46276971356160.

The previous prime is 133323112203313. The next prime is 133323112203367. The reversal of 133323112203320 is 23302211323331.

133323112203320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1299926 + ... + 16380965.

Almost surely, 2133323112203320 is an apocalyptic number.

133323112203320 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 133323112203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171228123249120).

133323112203320 is an abundant number, since it is smaller than the sum of its proper divisors (209133134294920).

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

133323112203320 is a wasteful number, since it uses less digits than its factorization.

133323112203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17681785 (or 17681781 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 133323112203320 its reverse (23302211323331), we get a palindrome (156625323526651).

The spelling of 133323112203320 in words is "one hundred thirty-three trillion, three hundred twenty-three billion, one hundred twelve million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 853 884 1105 1706 1768 2210 3412 4265 4420 6824 8530 8840 11089 14501 17060 22178 29002 34120 44356 55445 58004 72505 88712 110890 116008 145010 188513 221780 290020 377026 443560 580040 754052 942565 1508104 1885130 3770260 7540520 17680891 35361782 70723564 88404455 141447128 176808910 229851583 300575147 353617820 459703166 601150294 707235640 919406332 1149257915 1202300588 1502875735 1838812664 2298515830 2404601176 3005751470 3907476911 4597031660 6011502940 7814953822 9194063320 12023005880 15081800023 15629907644 19537384555 30163600046 31259815288 39074769110 60327200092 75409000115 78149538220 120654400184 150818000230 156299076440 196063400299 256390600391 301636000460 392126800598 512781200782 603272000920 784253601196 980317001495 1025562401564 1281953001955 1568507202392 1960634002990 2051124803128 2563906003910 3333077805083 3921268005980 5127812007820 6666155610166 7842536011960 10255624015640 13332311220332 16665389025415 26664622440664 33330778050830 66661556101660 133323112203320