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133320211103000 = 23531760111304669
BaseRepresentation
bin11110010100000100000111…
…110100101111110100011000
3122111001021202201222000002102
4132110010013310233310120
5114433304243020244000
61151314243124422532
740040032054344605
oct3624040764576430
9574037681860072
10133320211103000
1139530869576009
1212b52424b47a48
13595107126251c
1424cca385516ac
151062e70a163d5
hex794107d2fd18

133320211103000 has 128 divisors (see below), whose sum is σ = 330375634804800. Its totient is φ = 50182749952000.

The previous prime is 133320211102987. The next prime is 133320211103011. The reversal of 133320211103000 is 301112023331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101534666 + ... + 102839334.

Almost surely, 2133320211103000 is an apocalyptic number.

133320211103000 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 133320211103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165187817402400).

133320211103000 is an abundant number, since it is smaller than the sum of its proper divisors (197055423701800).

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

133320211103000 is a wasteful number, since it uses less digits than its factorization.

133320211103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310718 (or 1310704 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 133320211103000 its reverse (301112023331), we get a palindrome (133621323126331).

The spelling of 133320211103000 in words is "one hundred thirty-three trillion, three hundred twenty billion, two hundred eleven million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 6011 8500 12022 17000 24044 30055 48088 60110 102187 120220 150275 204374 240440 300550 408748 510935 601100 751375 817496 1021870 1202200 1304669 1502750 2043740 2554675 2609338 3005500 4087480 5109350 5218676 6011000 6523345 10218700 10437352 12773375 13046690 20437400 22179373 25546750 26093380 32616725 44358746 51093500 52186760 65233450 88717492 102187000 110896865 130466900 163083625 177434984 221793730 260933800 326167250 443587460 554484325 652334500 887174920 1108968650 1304669000 2217937300 2772421625 4435874600 5544843250 7842365359 11089686500 15684730718 22179373000 31369461436 39211826795 62738922872 78423653590 133320211103 156847307180 196059133975 266640422206 313694614360 392118267950 533280844412 666601055515 784236535900 980295669875 1066561688824 1333202111030 1568473071800 1960591339750 2666404222060 3333005277575 3921182679500 5332808444120 6666010555150 7842365359000 13332021110300 16665026387875 26664042220600 33330052775750 66660105551500 133320211103000