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12103130320 = 2451396011811
BaseRepresentation
bin10110100010110011…
…10001110011010000
31011020111011201112221
423101121301303100
5144241400132240
65320552030424
7605632624141
oct132131616320
934214151487
1012103130320
1151509a0a46
122419392414
1311ab633098
1482b5c5ac8
154ac842a4a
hex2d1671cd0

12103130320 has 80 divisors (see below), whose sum is σ = 28405056960. Its totient is φ = 4795776000.

The previous prime is 12103130227. The next prime is 12103130323. The reversal of 12103130320 is 2303130121.

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 = 12103130294 and 12103130303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103130323) 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, 6682215 + ... + 6684025.

It is an arithmetic number, because the mean of its divisors is an integer number (355063212).

Almost surely, 212103130320 is an apocalyptic number.

12103130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202528480).

12103130320 is an abundant number, since it is smaller than the sum of its proper divisors (16301926640).

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

12103130320 is a wasteful number, since it uses less digits than its factorization.

12103130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12103130320 its reverse (2303130121), we get a palindrome (14406260441).

The spelling of 12103130320 in words is "twelve billion, one hundred three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 601 695 1112 1202 1390 1811 2224 2404 2780 3005 3622 4808 5560 6010 7244 9055 9616 11120 12020 14488 18110 24040 28976 36220 48080 72440 83539 144880 167078 251729 334156 417695 503458 668312 835390 1006916 1088411 1258645 1336624 1670780 2013832 2176822 2517290 3341560 4027664 4353644 5034580 5442055 6683120 8707288 10069160 10884110 17414576 20138320 21768220 43536440 87072880 151289129 302578258 605156516 756445645 1210313032 1512891290 2420626064 3025782580 6051565160 12103130320