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133321103123 = 13223113433701
BaseRepresentation
bin111110000101010001…
…1101001011100010011
3110202010101011202122012
41330022203221130103
54141020200244443
6141125153533135
712426551451515
oct1741243513423
9422111152565
10133321103123
11515a531805a
1221a08b741ab
13c758c65400
14664a5b9bb5
1537046d4118
hex1f0a8e9713

133321103123 has 48 divisors (see below), whose sum is σ = 152543611584. Its totient is φ = 116237721600.

The previous prime is 133321103107. The next prime is 133321103131. The reversal of 133321103123 is 321301123331.

It is not a de Polignac number, because 133321103123 - 24 = 133321103107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (133321103323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190186673 + ... + 190187373.

It is an arithmetic number, because the mean of its divisors is an integer number (3177991908).

Almost surely, 2133321103123 is an apocalyptic number.

133321103123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

133321103123 is a deficient number, since it is larger than the sum of its proper divisors (19222508461).

133321103123 is a wasteful number, since it uses less digits than its factorization.

133321103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133321103123 its reverse (321301123331), we get a palindrome (454622226454).

The spelling of 133321103123 in words is "one hundred thirty-three billion, three hundred twenty-one million, one hundred three thousand, one hundred twenty-three".

Divisors: 1 13 23 113 169 299 433 701 1469 2599 3887 5629 9113 9959 16123 19097 33787 48929 73177 79213 118469 129467 209599 303533 439231 636077 1029769 1125367 1683071 1821899 2724787 3945929 6981259 8269001 13386997 14629771 23684687 34299229 51297077 90756367 190187023 307900931 445889977 788882267 1179832771 5796569701 10255469471 133321103123