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130320013122 = 23213249187251
BaseRepresentation
bin111100101011110101…
…1011001011101000010
3110110101020002121002200
41321113223121131002
54113343410404442
6135511310054030
712262310556135
oct1712753313502
9413336077080
10130320013122
11502a5282792
122130baaa316
13c39b28ba00
146443bac21c
1535caec734c
hex1e57ad9742

130320013122 has 72 divisors (see below), whose sum is σ = 306377021808. Its totient is φ = 40016340000.

The previous prime is 130320013111. The next prime is 130320013123. The reversal of 130320013122 is 221310023031.

130320013122 is a `hidden beast` number, since 1 + 30 + 320 + 0 + 1 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130320013095 and 130320013104.

It is not an unprimeable number, because it can be changed into a prime (130320013123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1449997 + ... + 1537247.

It is an arithmetic number, because the mean of its divisors is an integer number (4255236414).

Almost surely, 2130320013122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130320013122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153188510904).

130320013122 is an abundant number, since it is smaller than the sum of its proper divisors (176057008686).

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

130320013122 is a wasteful number, since it uses less digits than its factorization.

130320013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87776 (or 87760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130320013122 its reverse (221310023031), we get a palindrome (351630036153).

Subtracting 130320013122 from its reverse (221310023031), we obtain a palindrome (90990009909).

The spelling of 130320013122 in words is "one hundred thirty billion, three hundred twenty million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 491 507 982 1014 1473 1521 2946 3042 4419 6383 8838 12766 19149 38298 57447 82979 87251 114894 165958 174502 248937 261753 497874 523506 746811 785259 1134263 1493622 1570518 2268526 3402789 6805578 10208367 14745419 20416734 29490838 42840241 44236257 85680482 88472514 128520723 132708771 257041446 265417542 385562169 556923133 771124338 1113846266 1670769399 3341538798 5012308197 7240000729 10024616394 14480001458 21720002187 43440004374 65160006561 130320013122