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133220121103330 = 25611372167373553
BaseRepresentation
bin11110010010100110111001…
…111111101100101111100010
3122110200201102021222012111121
4132102212321333230233202
5114430134302000301310
61151200251224402454
740026556535364442
oct3622467177545742
9573621367865447
10133220121103330
11394a2377359918
1212b36b5101642a
1359447acc01051
1424c7c61584122
1510605639500da
hex7929b9fecbe2

133220121103330 has 64 divisors (see below), whose sum is σ = 245521000659168. Its totient is φ = 52028778332160.

The previous prime is 133220121103309. The next prime is 133220121103457. The reversal of 133220121103330 is 33301121022331.

It can be written as a sum of positive squares in 16 ways, for example, as 17327080581561 + 115893040521769 = 4162581^2 + 10765363^2 .

It is a super-2 number, since 2×1332201211033302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133220121103295 and 133220121103304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811175834 + ... + 1811249386.

Almost surely, 2133220121103330 is an apocalyptic number.

133220121103330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133220121103330 is a deficient number, since it is larger than the sum of its proper divisors (112300879555838).

133220121103330 is a wasteful number, since it uses less digits than its factorization.

133220121103330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95431.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133220121103330 its reverse (33301121022331), we get a palindrome (166521242125661).

The spelling of 133220121103330 in words is "one hundred thirty-three trillion, two hundred twenty billion, one hundred twenty-one million, one hundred three thousand, three hundred thirty".

Divisors: 1 2 5 10 61 122 137 274 305 610 685 1370 8357 16714 21673 41785 43346 73553 83570 108365 147106 216730 367765 735530 1322053 2644106 2969201 4486733 5938402 6610265 8973466 10076761 13220530 14846005 20153522 22433665 29692010 44867330 50383805 100767610 181121261 362242522 614682421 905606305 1229364842 1594114169 1811212610 3073412105 3188228338 6146824210 7970570845 15941141690 97240964309 194481928618 218393641153 436787282306 486204821545 972409643090 1091968205765 2183936411530 13322012110333 26644024220666 66610060551665 133220121103330