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123152066331 = 3731379499139
BaseRepresentation
bin111001010110001101…
…1110110011100011011
3102202212200100011121220
41302230123312130123
54004203412110311
6132324132103123
711616552202110
oct1625433663433
9382780304556
10123152066331
1148257149218
121ba4b464aa3
13b7c8242188
145d63c14907
15330ba86206
hex1cac6f671b

123152066331 has 32 divisors (see below), whose sum is σ = 194225356800. Its totient is φ = 67922699040.

The previous prime is 123152066327. The next prime is 123152066363. The reversal of 123152066331 is 133660251321.

It is not a de Polignac number, because 123152066331 - 22 = 123152066327 is a prime.

It is a super-3 number, since 3×1231520663313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123152066292 and 123152066301.

It is not an unprimeable number, because it can be changed into a prime (123152066231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2841 + ... + 496298.

It is an arithmetic number, because the mean of its divisors is an integer number (6069542400).

Almost surely, 2123152066331 is an apocalyptic number.

123152066331 is a deficient number, since it is larger than the sum of its proper divisors (71073290469).

123152066331 is a wasteful number, since it uses less digits than its factorization.

123152066331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499559.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 123152066331 in words is "one hundred twenty-three billion, one hundred fifty-two million, sixty-six thousand, three hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 379 651 1137 2653 7959 11749 35247 82243 246729 499139 1497417 3493973 10481919 15473309 46419927 108313163 189173681 324939489 567521043 1324215767 3972647301 5864384111 17593152333 41050688777 123152066331