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12300102110032 = 24111231266321319
BaseRepresentation
bin1011001011111101011100…
…1101111000101101010000
31121112212201021010212011121
42302333113031320231100
53103011102120010112
642054331111452024
72406436665605632
oct262772715705520
947485637125147
1012300102110032
113a12497a83960
121467a13387014
136b2b82720519
14307484500a52
15164e4954e407
hexb2fd7378b50

12300102110032 has 80 divisors (see below), whose sum is σ = 26030053969920. Its totient is φ = 5584053974400.

The previous prime is 12300102109993. The next prime is 12300102110041. The reversal of 12300102110032 is 23001120100321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12300102109988 and 12300102110015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576944269 + ... + 576965587.

It is an arithmetic number, because the mean of its divisors is an integer number (325375674624).

Almost surely, 212300102110032 is an apocalyptic number.

It is an amenable number.

12300102110032 is an abundant number, since it is smaller than the sum of its proper divisors (13729951859888).

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

12300102110032 is a wasteful number, since it uses less digits than its factorization.

12300102110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25232 (or 25226 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12300102110032 its reverse (23001120100321), we get a palindrome (35301222210353).

The spelling of 12300102110032 in words is "twelve trillion, three hundred billion, one hundred two million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 1231 2462 2663 4924 5326 9848 10652 13541 19696 21304 21319 27082 29293 42608 42638 54164 58586 85276 108328 117172 170552 216656 234344 234509 341104 468688 469018 938036 1876072 3278153 3752144 6556306 13112612 26225224 26243689 36059683 52450448 52487378 56772497 72119366 104974756 113544994 144238732 209949512 227089988 288477464 288680579 419899024 454179976 576954928 577361158 624497467 908359952 1154722316 1248994934 2309444632 2497989868 4618889264 4995979736 9991959472 69886943807 139773887614 279547775228 559095550456 768756381877 1118191100912 1537512763754 3075025527508 6150051055016 12300102110032