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12100102320 = 243559854527
BaseRepresentation
bin10110100010011100…
…01110100010110000
31011020021110212220210
423101032032202300
5144240111233240
65320403104120
7605565113145
oct132116164260
934207425823
1012100102320
11514a212a69
122418372040
1311aab12a77
1482b0383cc
154ac445780
hex2d138e8b0

12100102320 has 80 divisors (see below), whose sum is σ = 38146129920. Its totient is φ = 3172000512.

The previous prime is 12100102309. The next prime is 12100102321. The reversal of 12100102320 is 2320100121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12100102296 and 12100102305.

It is not an unprimeable number, because it can be changed into a prime (12100102321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413104 + ... + 441423.

It is an arithmetic number, because the mean of its divisors is an integer number (476826624).

Almost surely, 212100102320 is an apocalyptic number.

12100102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100102320 is an abundant number, since it is smaller than the sum of its proper divisors (26046027600).

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

12100102320 is a wasteful number, since it uses less digits than its factorization.

12100102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854602 (or 854596 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12100102320 its reverse (2320100121), we get a palindrome (14420202441).

The spelling of 12100102320 in words is "twelve billion, one hundred million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 854527 1709054 2563581 3418108 4272635 5127162 6836216 8545270 10254324 12817905 13672432 17090540 20508648 25635810 34181080 41017296 50417093 51271620 68362160 100834186 102543240 151251279 201668372 205086480 252085465 302502558 403336744 504170930 605005116 756256395 806673488 1008341860 1210010232 1512512790 2016683720 2420020464 3025025580 4033367440 6050051160 12100102320