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123101102320 = 2457239557539
BaseRepresentation
bin111001010100101100…
…1011100000011110000
3102202202010102221010221
41302221121130003300
54004102340233240
6132315111502424
711615363051020
oct1625131340360
9382663387127
10123101102320
11482303aa1a9
121ba36387a14
13b7ba80a061
145d5b149a80
15330736aa4a
hex1ca965c0f0

123101102320 has 80 divisors (see below), whose sum is σ = 341318868480. Its totient is φ = 40371040512.

The previous prime is 123101102309. The next prime is 123101102323. The reversal of 123101102320 is 23201101321.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 123101102294 and 123101102303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123101102323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4765890 + ... + 4791649.

It is an arithmetic number, because the mean of its divisors is an integer number (4266485856).

Almost surely, 2123101102320 is an apocalyptic number.

123101102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123101102320 is an abundant number, since it is smaller than the sum of its proper divisors (218217766160).

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

123101102320 is a wasteful number, since it uses less digits than its factorization.

123101102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557582 (or 9557576 counting only the distinct ones).

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

Adding to 123101102320 its reverse (23201101321), we get a palindrome (146302203641).

Subtracting from 123101102320 its reverse (23201101321), we obtain a palindrome (99900000999).

The spelling of 123101102320 in words is "one hundred twenty-three billion, one hundred one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12880 9557539 19115078 38230156 47787695 66902773 76460312 95575390 133805546 152920624 191150780 219823397 267611092 334513865 382301560 439646794 535222184 669027730 764603120 879293588 1070444368 1099116985 1338055460 1538763779 1758587176 2198233970 2676110920 3077527558 3517174352 4396467940 5352221840 6155055116 7693818895 8792935880 12310110232 15387637790 17585871760 24620220464 30775275580 61550551160 123101102320