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123100120323313 = 72194331114476833
BaseRepresentation
bin11011111111010101111010…
…111100011001010011110001
3121010212020221001002201012021
4123333111322330121103301
5112113333021300321223
61113451225314231441
734633455511145500
oct3377257274312361
9533766831081167
10123100120323313
1136250516788741
1211981765285581
13538c3a3677423
142258112d88837
15e371b395065d
hex6ff57af194f1

123100120323313 has 96 divisors (see below), whose sum is σ = 154865849149440. Its totient is φ = 97240891184640.

The previous prime is 123100120323311. The next prime is 123100120323319. The reversal of 123100120323313 is 313323021001321.

It is not a de Polignac number, because 123100120323313 - 21 = 123100120323311 is a prime.

It is a super-2 number, since 2×1231001203233132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123100120323311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18015527145 + ... + 18015533977.

It is an arithmetic number, because the mean of its divisors is an integer number (1613185928640).

Almost surely, 2123100120323313 is an apocalyptic number.

It is an amenable number.

123100120323313 is a deficient number, since it is larger than the sum of its proper divisors (31765728826127).

123100120323313 is a wasteful number, since it uses less digits than its factorization.

123100120323313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 123100120323313 its reverse (313323021001321), we get a palindrome (436423141324634).

The spelling of 123100120323313 in words is "one hundred twenty-three trillion, one hundred billion, one hundred twenty million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 7 19 43 49 133 301 311 817 931 1447 2107 2177 5719 5909 6833 10129 13373 15239 27493 40033 41363 47831 62221 70903 93611 129827 192451 254087 289541 293819 334817 435547 450017 655277 908789 1182199 1347157 1778609 2056733 2125063 3048829 3150119 5582561 6361523 8275393 8550323 9887351 12450263 14397131 14875441 19350731 22050833 39077927 40376197 57927751 59852261 69211457 91377709 104128087 135455117 187859669 273545489 282633379 367663889 418965827 425156093 484480199 639643963 948185819 1315017683 1736176471 1978433653 2573647223 2976092651 3074966161 4477507741 8077965767 9205123781 12153235297 18015530561 20832648557 21524763127 56545760369 58424357059 85072647079 132223544923 150673341889 395820322583 408970499413 925564814461 2512247353537 2862793495891 6478953701227 17585731474759 123100120323313