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123012010032310 = 257192921115115253
BaseRepresentation
bin11011111110000011110111…
…001010010011110010110110
3121010112211111111001011111001
4123332003313022103302312
5112110412044032013220
61113342534241033514
734624216166060560
oct3376036712236266
9533484444034431
10123012010032310
1136217111823a23
121196867532589a
135383ca11c4869
142253b55036330
15e34c5844c80a
hex6fe0f7293cb6

123012010032310 has 128 divisors (see below), whose sum is σ = 276863084467200. Its totient is φ = 38395158520320.

The previous prime is 123012010032293. The next prime is 123012010032313. The reversal of 123012010032310 is 13230010210321.

It is a super-2 number, since 2×1230120100323102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123012010032313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580644 + ... + 15695896.

It is an arithmetic number, because the mean of its divisors is an integer number (2162992847400).

Almost surely, 2123012010032310 is an apocalyptic number.

123012010032310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123012010032310 is an abundant number, since it is smaller than the sum of its proper divisors (153851074434890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123012010032310 is a wasteful number, since it uses less digits than its factorization.

123012010032310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15115526.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 123012010032310 its reverse (13230010210321), we get a palindrome (136242020242631).

The spelling of 123012010032310 in words is "one hundred twenty-three trillion, twelve billion, ten million, thirty-two thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 29 35 38 58 70 95 133 145 190 203 211 266 290 406 422 551 665 1015 1055 1102 1330 1477 2030 2110 2755 2954 3857 4009 5510 6119 7385 7714 8018 12238 14770 19285 20045 28063 30595 38570 40090 42833 56126 61190 85666 116261 140315 214165 232522 280630 428330 581305 813827 1162610 1627654 4069135 8138270 15115253 30230506 75576265 105806771 151152530 211613542 287189807 438342337 529033855 574379614 876684674 1058067710 1435949035 2010328649 2191711685 2871898070 3068396359 3189318383 4020657298 4383423370 6136792718 6378636766 8328504403 10051643245 15341981795 15946591915 16657008806 20103286490 22325228681 30683963590 31893183830 41642522015 44650457362 58299530821 60597049277 83285044030 92490233107 111626143405 116599061642 121194098554 184980466214 223252286810 291497654105 302985246385 424179344939 462451165535 582995308210 605970492770 647431631749 848358689878 924902331070 1294863263498 1757314429033 2120896724695 3237158158745 3514628858066 4241793449390 6474316317490 8786572145165 12301201003231 17573144290330 24602402006462 61506005016155 123012010032310