Search a number
-
+
133222033213110 = 23253697660760601
BaseRepresentation
bin11110010010101000101011…
…111101110100011010110110
3122110200220100112221110000100
4132102220223331310122312
5114430202211000304420
61151201205051454530
740026655114141512
oct3622505375643266
9573626315843010
10133222033213110
11394a3168726236
1212b373a5457446
135944a260b485a
1424c7da34c1142
151060626751190
hex792a2bf746b6

133222033213110 has 96 divisors (see below), whose sum is σ = 346529135901312. Its totient is φ = 35510304614400.

The previous prime is 133222033213091. The next prime is 133222033213117. The reversal of 133222033213110 is 11312330222331.

133222033213110 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 20 + 3 + 321 + 311 + 0 = 666.

It is a super-2 number, since 2×1332220332131102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133222033213117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2198316810 + ... + 2198377410.

It is an arithmetic number, because the mean of its divisors is an integer number (3609678498972).

Almost surely, 2133222033213110 is an apocalyptic number.

133222033213110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133222033213110 is an abundant number, since it is smaller than the sum of its proper divisors (213307102688202).

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

133222033213110 is a wasteful number, since it uses less digits than its factorization.

133222033213110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70918 (or 70915 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133222033213110 its reverse (11312330222331), we get a palindrome (144534363435441).

The spelling of 133222033213110 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, thirty-three million, two hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3697 6607 7394 11091 13214 18485 19821 22182 33035 33273 36970 39642 55455 59463 60601 66070 66546 99105 110910 118926 121202 166365 181803 198210 297315 303005 332730 363606 545409 594630 606010 909015 1090818 1818030 2727045 5454090 24426079 48852158 73278237 122130395 146556474 219834711 224041897 244260790 366391185 400390807 439669422 448083794 672125691 732782370 800781614 1099173555 1120209485 1201172421 1344251382 2001954035 2016377073 2198347110 2240418970 2402344842 3360628455 3603517263 4003908070 4032754146 6005862105 6721256910 7207034526 10081885365 12011724210 18017586315 20163770730 36035172630 1480244813479 2960489626958 4440734440437 7401224067395 8881468880874 13322203321311 14802448134790 22203672202185 26644406642622 44407344404370 66611016606555 133222033213110