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133322221212030 = 23351303378960863
BaseRepresentation
bin11110010100000101111111…
…101000101101000101111110
3122111001110221211100010022000
4132110011333220231011332
5114433322402112241110
61151315214412203130
740040132633112024
oct3624057750550576
9574043854303260
10133322221212030
1139531700197744
1212b528a61694a6
135951301838c56
1424ccb894bc714
15106303c2241c0
hex79417fa2d17e

133322221212030 has 64 divisors (see below), whose sum is σ = 355798775992320. Its totient is φ = 35525307047328.

The previous prime is 133322221212007. The next prime is 133322221212071. The reversal of 133322221212030 is 30212122223331.

133322221212030 is a `hidden beast` number, since 1 + 3 + 3 + 322 + 2 + 212 + 120 + 3 + 0 = 666.

It is a super-3 number, since 3×1333222212120303 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133322221211985 and 133322221212003.

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, 189128622 + ... + 189832241.

It is an arithmetic number, because the mean of its divisors is an integer number (5559355874880).

Almost surely, 2133322221212030 is an apocalyptic number.

133322221212030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133322221212030 is an abundant number, since it is smaller than the sum of its proper divisors (222476554780290).

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

133322221212030 is a wasteful number, since it uses less digits than its factorization.

133322221212030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378962182 (or 378962176 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133322221212030 its reverse (30212122223331), we get a palindrome (163534343435361).

The spelling of 133322221212030 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1303 2606 3909 6515 7818 11727 13030 19545 23454 35181 39090 58635 70362 117270 175905 351810 378960863 757921726 1136882589 1894804315 2273765178 3410647767 3789608630 5684412945 6821295534 10231943301 11368825890 17053238835 20463886602 34106477670 51159716505 102319433010 493786004489 987572008978 1481358013467 2468930022445 2962716026934 4444074040401 4937860044890 7406790067335 8888148080802 13332222121203 14813580134670 22220370202005 26664444242406 44440740404010 66661110606015 133322221212030