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130450222100 = 225211197360107
BaseRepresentation
bin111100101111101110…
…0000110110000010100
3110110201022002220020102
41321133130012300110
54114130224101400
6135532240553232
712265451410142
oct1713734066024
9413638086212
10130450222100
1150361827710
1221347622818
13c3bc24b643
1464571c4592
1535d76479d5
hex1e5f706c14

130450222100 has 72 divisors (see below), whose sum is σ = 308972911968. Its totient is φ = 47411612800.

The previous prime is 130450222099. The next prime is 130450222117. The reversal of 130450222100 is 1222054031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 2140247 + ... + 2200353.

It is an arithmetic number, because the mean of its divisors is an integer number (4291290444).

Almost surely, 2130450222100 is an apocalyptic number.

130450222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130450222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154486455984).

130450222100 is an abundant number, since it is smaller than the sum of its proper divisors (178522689868).

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

130450222100 is a wasteful number, since it uses less digits than its factorization.

130450222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62105 (or 62098 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 130450222100 its reverse (1222054031), we get a palindrome (131672276131).

The spelling of 130450222100 in words is "one hundred thirty billion, four hundred fifty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1973 3946 7892 9865 19730 21703 39460 43406 49325 60107 86812 98650 108515 120214 197300 217030 240428 300535 434060 542575 601070 661177 1085150 1202140 1322354 1502675 2170300 2644708 3005350 3305885 6010700 6611770 13223540 16529425 33058850 66117700 118591111 237182222 474364444 592955555 1185911110 1304502221 2371822220 2609004442 2964777775 5218008884 5929555550 6522511105 11859111100 13045022210 26090044420 32612555525 65225111050 130450222100