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123310101213 = 321319179431719
BaseRepresentation
bin111001011010111011…
…0101101001011011101
3102210021200201011201200
41302311312231023131
54010014341214323
6132351535230113
711623511365155
oct1626566551335
9383250634650
10123310101213
1148328379162
121ba94378339
13b821bc5340
145d7abd1765
15331a8a1443
hex1cb5dad2dd

123310101213 has 96 divisors (see below), whose sum is σ = 203793408000. Its totient is φ = 71222613120.

The previous prime is 123310101197. The next prime is 123310101217. The reversal of 123310101213 is 312101013321.

It is not a de Polignac number, because 123310101213 - 24 = 123310101197 is a prime.

It is a super-2 number, since 2×1233101012132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123310101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171501868 + ... + 171502586.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848000).

Almost surely, 2123310101213 is an apocalyptic number.

123310101213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123310101213 is a deficient number, since it is larger than the sum of its proper divisors (80483306787).

123310101213 is a wasteful number, since it uses less digits than its factorization.

123310101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123310101213 its reverse (312101013321), we get a palindrome (435411114534).

The spelling of 123310101213 in words is "one hundred twenty-three billion, three hundred ten million, one hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 13 19 39 57 117 171 179 247 431 537 719 741 1293 1611 2157 2223 2327 3401 3879 5603 6471 6981 8189 9347 10203 13661 16809 20943 24567 28041 30609 40983 44213 50427 73701 77149 84123 106457 122949 128701 132639 177593 231447 309889 319371 386103 397917 532779 694341 929667 958113 1002937 1158309 1465831 1598337 1673113 2445319 2789001 3008811 4028557 4397493 5019339 5887891 7335957 9026433 12085671 13192479 15058017 17663673 19055803 22007871 31789147 36257013 52991019 55470131 57167409 76542583 95367441 166410393 171502227 229627749 286102323 499231179 688883247 721111703 1053932489 2163335109 3161797467 6490005327 9485392401 13701122357 41103367071 123310101213