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122013012310 = 25719606715121
BaseRepresentation
bin111000110100010001…
…0101101000101010110
3102122221022000020020221
41301220202231011112
53444340312343220
6132015122144554
711546411330650
oct1615042550526
9378838006227
10122013012310
114782218a062
121b791ab215a
13b676269407
145c9682b6d0
153291a889aa
hex1c688ad156

122013012310 has 64 divisors (see below), whose sum is σ = 264269652480. Its totient is φ = 39622141440.

The previous prime is 122013012293. The next prime is 122013012311. The reversal of 122013012310 is 13210310221.

It is a super-2 number, since 2×1220130123102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013012311) 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 31 ways as a sum of consecutive naturals, for example, 8061550 + ... + 8076670.

It is an arithmetic number, because the mean of its divisors is an integer number (4129213320).

Almost surely, 2122013012310 is an apocalyptic number.

122013012310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122013012310 is an abundant number, since it is smaller than the sum of its proper divisors (142256640170).

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

122013012310 is a wasteful number, since it uses less digits than its factorization.

122013012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21221.

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

Adding to 122013012310 its reverse (13210310221), we get a palindrome (135223322531).

The spelling of 122013012310 in words is "one hundred twenty-two billion, thirteen million, twelve thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 6067 12134 15121 30242 30335 42469 60670 75605 84938 105847 115273 151210 211694 212345 230546 287299 424690 529235 574598 576365 806911 1058470 1152730 1436495 1613822 2011093 2872990 4022186 4034555 8069110 10055465 20110930 91739107 183478214 458695535 642173749 917391070 1284347498 1743043033 3210868745 3486086066 6421737490 8715215165 12201301231 17430430330 24402602462 61006506155 122013012310