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123130031321 = 112910115125309
BaseRepresentation
bin111001010101100011…
…1110010110011011001
3102202211010212200021102
41302223013302303121
54004132242000241
6132322023521145
711616163666103
oct1625307626331
9382733780242
10123130031321
1148245768a70
121ba43bb91b5
13b7c37c86cb
145d60d1a573
153309b8239b
hex1cab1f2cd9

123130031321 has 32 divisors (see below), whose sum is σ = 141266246400. Its totient is φ = 106293600000.

The previous prime is 123130031281. The next prime is 123130031333.

123130031321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 123130031321 - 226 = 123062922457 is a prime.

It is a super-2 number, since 2×1231300313212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123130031293 and 123130031302.

It is not an unprimeable number, because it can be changed into a prime (123130031351) 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, 4852415 + ... + 4877723.

It is an arithmetic number, because the mean of its divisors is an integer number (4414570200).

Almost surely, 2123130031321 is an apocalyptic number.

123130031321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123130031321 is a deficient number, since it is larger than the sum of its proper divisors (18136215079).

123130031321 is a wasteful number, since it uses less digits than its factorization.

123130031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25601.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1231300 and 31321, that added together give a palindrome (1262621).

The spelling of 123130031321 in words is "one hundred twenty-three billion, one hundred thirty million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 11 29 101 151 319 1111 1661 2929 4379 15251 25309 32219 48169 167761 278399 442279 733961 2556209 3821659 4865069 8073571 28118299 42038249 74130061 110828111 385987559 815430671 1219109221 4245863149 11193639211 123130031321