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13122301310 = 2510759320681
BaseRepresentation
bin11000011100010011…
…00110110101111110
31020212111220222022122
430032021212311332
5203333302120220
610010040242542
7643116502136
oct141611466576
936774828278
1013122301310
115624219218
122662770452
131311823241
148c6ac3ac6
1551c05e425
hex30e266d7e

13122301310 has 32 divisors (see below), whose sum is σ = 23882249952. Its totient is φ = 5190845440.

The previous prime is 13122301307. The next prime is 13122301319. The reversal of 13122301310 is 1310322131.

It is a super-2 number, since 2×131223013102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122301319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624170 + ... + 644850.

It is an arithmetic number, because the mean of its divisors is an integer number (746320311).

Almost surely, 213122301310 is an apocalyptic number.

13122301310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122301310 is a deficient number, since it is larger than the sum of its proper divisors (10759948642).

13122301310 is a wasteful number, since it uses less digits than its factorization.

13122301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21388.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13122301310 its reverse (1310322131), we get a palindrome (14432623441).

It can be divided in two parts, 13122 and 301310, that added together give a cube (314432 = 683).

The spelling of 13122301310 in words is "thirteen billion, one hundred twenty-two million, three hundred one thousand, three hundred ten".

Divisors: 1 2 5 10 107 214 535 593 1070 1186 2965 5930 20681 41362 63451 103405 126902 206810 317255 634510 2212867 4425734 11064335 12263833 22128670 24527666 61319165 122638330 1312230131 2624460262 6561150655 13122301310