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133210012123331 = 111319263186419561
BaseRepresentation
bin11110010010011101011111…
…011101000000000011000011
3122110122202022210010210220222
4132102131133131000003003
5114430003101100421311
61151151500150053255
740026051165436523
oct3622353735000303
9573582283123828
10133210012123331
113949905a07a5a0
1212b34bab64a22b
13594385b777890
1424c7582b73683
151060171216adb
hex79275f7400c3

133210012123331 has 32 divisors (see below), whose sum is σ = 165361608276480. Its totient is φ = 105498557395200.

The previous prime is 133210012123247. The next prime is 133210012123381. The reversal of 133210012123331 is 133321210012331.

It is a cyclic number.

It is not a de Polignac number, because 133210012123331 - 210 = 133210012122307 is a prime.

It is a super-2 number, since 2×1332100121233312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133210012123331.

It is not an unprimeable number, because it can be changed into a prime (133210012123381) by changing a digit.

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, 92495210 + ... + 93924351.

It is an arithmetic number, because the mean of its divisors is an integer number (5167550258640).

Almost surely, 2133210012123331 is an apocalyptic number.

133210012123331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133210012123331 is a deficient number, since it is larger than the sum of its proper divisors (32151596153149).

133210012123331 is a wasteful number, since it uses less digits than its factorization.

133210012123331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186419867.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 133210012123331 its reverse (133321210012331), we get a palindrome (266531222135662).

It can be divided in two parts, 1332100 and 12123331, that added together give a palindrome (13455431).

The spelling of 133210012123331 in words is "one hundred thirty-three trillion, two hundred ten billion, twelve million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 11 13 19 143 209 247 263 2717 2893 3419 4997 37609 54967 64961 714571 186419561 2050615171 2423454293 3541971659 26657997223 38961688249 46045631567 49028344543 506501947237 539311789973 637368479059 931538546317 7011053269649 10246924009487 12110001102121 133210012123331