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12100302320 = 2451312394831
BaseRepresentation
bin10110100010011101…
…11111010111110000
31011020021212001021012
423101032333113300
5144240134133240
65320411250052
7605566605221
oct132116772760
934207761235
1012100302320
11514a33a257
122418449928
1311aab82b02
1482b08b248
154ac484b65
hex2d13bf5f0

12100302320 has 80 divisors (see below), whose sum is σ = 28472463360. Its totient is φ = 4782086400.

The previous prime is 12100302311. The next prime is 12100302329. The reversal of 12100302320 is 2320300121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12100302311) and next prime (12100302329).

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

It is a junction number, because it is equal to n+sod(n) for n = 12100302295 and 12100302304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100302329) 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, 2502305 + ... + 2507135.

It is an arithmetic number, because the mean of its divisors is an integer number (355905792).

Almost surely, 212100302320 is an apocalyptic number.

12100302320 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 12100302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14236231680).

12100302320 is an abundant number, since it is smaller than the sum of its proper divisors (16372161040).

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

12100302320 is a wasteful number, since it uses less digits than its factorization.

12100302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12100302320 its reverse (2320300121), we get a palindrome (14420602441).

The spelling of 12100302320 in words is "twelve billion, one hundred million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 239 262 478 524 655 956 1048 1195 1310 1912 2096 2390 2620 3824 4780 4831 5240 9560 9662 10480 19120 19324 24155 31309 38648 48310 62618 77296 96620 125236 156545 193240 250472 313090 386480 500944 626180 632861 1154609 1252360 1265722 2309218 2504720 2531444 3164305 4618436 5062888 5773045 6328610 9236872 10125776 11546090 12657220 18473744 23092180 25314440 46184360 50628880 92368720 151253779 302507558 605015116 756268895 1210030232 1512537790 2420060464 3025075580 6050151160 12100302320