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122631134010 = 23571153087071
BaseRepresentation
bin111001000110101100…
…0101001101100111010
3102201112101010001211020
41302031120221230322
54002122032242020
6132200322443310
711600625304020
oct1621530515472
9381471101736
10122631134010
114800a095040
121b924b03536
13b74433b4b8
145d14970710
1532cae85c40
hex1c8d629b3a

122631134010 has 64 divisors (see below), whose sum is σ = 366937841664. Its totient is φ = 25481793600.

The previous prime is 122631133979. The next prime is 122631134039. The reversal of 122631134010 is 10431136221.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26541226 + ... + 26545845.

It is an arithmetic number, because the mean of its divisors is an integer number (5733403776).

Almost surely, 2122631134010 is an apocalyptic number.

122631134010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122631134010 is an abundant number, since it is smaller than the sum of its proper divisors (244306707654).

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

122631134010 is a wasteful number, since it uses less digits than its factorization.

122631134010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53087099.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 122631134010 in words is "one hundred twenty-two billion, six hundred thirty-one million, one hundred thirty-four thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 53087071 106174142 159261213 265435355 318522426 371609497 530870710 583957781 743218994 796306065 1114828491 1167915562 1592612130 1751873343 1858047485 2229656982 2919788905 3503746686 3716094970 4087704467 5574142455 5839577810 8175408934 8759366715 11148284910 12263113401 17518733430 20438522335 24526226802 40877044670 61315567005 122631134010