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123121327 = 7172935677
BaseRepresentation
bin1110101011010…
…10111010101111
322120200012201011
413111222322233
5223004340302
620114530051
73023341210
oct725527257
9276605634
10123121327
116355396a
1235296927
131c67a874
14124cd407
15ac205d7
hex756aeaf

123121327 has 16 divisors (see below), whose sum is σ = 154128960. Its totient is φ = 95897088.

The previous prime is 123121309. The next prime is 123121333. The reversal of 123121327 is 723121321.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-123121327 is a prime.

It is a super-2 number, since 2×1231213272 = 30317722324481858, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123121298 and 123121307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14388 + ... + 21289.

It is an arithmetic number, because the mean of its divisors is an integer number (9633060).

Almost surely, 2123121327 is an apocalyptic number.

123121327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

123121327 is a deficient number, since it is larger than the sum of its proper divisors (31007633).

123121327 is a wasteful number, since it uses less digits than its factorization.

123121327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35730.

The product of its digits is 504, while the sum is 22.

The square root of 123121327 is about 11096.0050018013. The cubic root of 123121327 is about 497.4824478038.

Adding to 123121327 its reverse (723121321), we get a palindrome (846242648).

The spelling of 123121327 in words is "one hundred twenty-three million, one hundred twenty-one thousand, three hundred twenty-seven".

Divisors: 1 7 17 29 119 203 493 3451 35677 249739 606509 1034633 4245563 7242431 17588761 123121327