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123210131121 = 327111709104033
BaseRepresentation
bin111001010111111100…
…1010110011010110001
3102210000201121011112200
41302233321112122301
54004313243143441
6132334004413413
711621155556160
oct1625771263261
9383021534480
10123210131121
11482869a8150
121ba669a7269
13b80729233c
145d6b80b3d7
153311c057b6
hex1cafe566b1

123210131121 has 48 divisors (see below), whose sum is σ = 222016878720. Its totient is φ = 63967196160.

The previous prime is 123210131081. The next prime is 123210131131. The reversal of 123210131121 is 121131012321.

123210131121 is a `hidden beast` number, since 1 + 232 + 101 + 311 + 21 = 666.

It is not a de Polignac number, because 123210131121 - 29 = 123210130609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123210131094 and 123210131103.

It is not an unprimeable number, because it can be changed into a prime (123210131131) 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, 1132321 + ... + 1236353.

It is an arithmetic number, because the mean of its divisors is an integer number (4625351640).

Almost surely, 2123210131121 is an apocalyptic number.

123210131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123210131121 is a deficient number, since it is larger than the sum of its proper divisors (98806747599).

123210131121 is a wasteful number, since it uses less digits than its factorization.

123210131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105766 (or 105763 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123210131121 its reverse (121131012321), we get a palindrome (244341143442).

The spelling of 123210131121 in words is "one hundred twenty-three billion, two hundred ten million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1709 5127 11963 15381 18799 35889 56397 104033 107667 131593 169191 312099 394779 728231 936297 1144363 1184337 2184693 3433089 6554079 8010541 10299267 24031623 72094869 177792397 533377191 1244546779 1600131573 1955716367 3733640337 5867149101 11200921011 13690014569 17601447303 41070043707 123210131121