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12300323221010 = 2511273139254197
BaseRepresentation
bin1011001011111110010001…
…1001010110111000010010
31121112220021200012110102002
42302333210121112320102
53103012030221033020
642054405050554002
72406445322200226
oct262774431267022
947486250173362
1012300323221010
113a125a0875900
121467a75438902
136b2bb9489816
143074a5a1a786
15164e5db78975
hexb2fe4656e12

12300323221010 has 48 divisors (see below), whose sum is σ = 24669716700888. Its totient is φ = 4411572929280.

The previous prime is 12300323220973. The next prime is 12300323221013. The reversal of 12300323221010 is 1012232300321.

It can be written as a sum of positive squares in 4 ways, for example, as 10255769266369 + 2044553954641 = 3202463^2 + 1429879^2 .

It is not an unprimeable number, because it can be changed into a prime (12300323221013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69538769 + ... + 69715428.

Almost surely, 212300323221010 is an apocalyptic number.

12300323221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12300323221010 is an abundant number, since it is smaller than the sum of its proper divisors (12369393479878).

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

12300323221010 is a wasteful number, since it uses less digits than its factorization.

12300323221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139254299 (or 139254288 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12300323221010 its reverse (1012232300321), we get a palindrome (13312555521331).

The spelling of 12300323221010 in words is "twelve trillion, three hundred billion, three hundred twenty-three million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 10 11 22 55 73 110 121 146 242 365 605 730 803 1210 1606 4015 8030 8833 17666 44165 88330 139254197 278508394 696270985 1392541970 1531796167 3063592334 7658980835 10165556381 15317961670 16849757837 20331112762 33699515674 50827781905 84248789185 101655563810 111821120191 168497578370 223642240382 559105600955 1118211201910 1230032322101 2460064644202 6150161610505 12300323221010