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130122123330 = 23529293510463
BaseRepresentation
bin111100100101111100…
…0100000100001000010
3110102212102201202100010
41321023320200201002
54112442230421310
6135435520405350
712254355541023
oct1711370404102
9412772652303
10130122123330
1150203601201
1221275776856
13c369293064
1464257b8c4a
1535b8938320
hex1e4be20842

130122123330 has 64 divisors (see below), whose sum is σ = 324165058560. Its totient is φ = 33388298496.

The previous prime is 130122123323. The next prime is 130122123331. The reversal of 130122123330 is 33321221031.

It is a junction number, because it is equal to n+sod(n) for n = 130122123297 and 130122123306.

It is not an unprimeable number, because it can be changed into a prime (130122123331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322 + ... + 510141.

It is an arithmetic number, because the mean of its divisors is an integer number (5065079040).

Almost surely, 2130122123330 is an apocalyptic number.

130122123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130122123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162082529280).

130122123330 is an abundant number, since it is smaller than the sum of its proper divisors (194042935230).

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

130122123330 is a wasteful number, since it uses less digits than its factorization.

130122123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510795.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130122123330 its reverse (33321221031), we get a palindrome (163443344361).

The spelling of 130122123330 in words is "one hundred thirty billion, one hundred twenty-two million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 293 435 586 870 879 1465 1758 2930 4395 8497 8790 16994 25491 42485 50982 84970 127455 254910 510463 1020926 1531389 2552315 3062778 5104630 7656945 14803427 15313890 29606854 44410281 74017135 88820562 148034270 149565659 222051405 299131318 444102810 448696977 747828295 897393954 1495656590 2243484885 4337404111 4486969770 8674808222 13012212333 21687020555 26024424666 43374041110 65061061665 130122123330