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130122320200 = 235231139150989
BaseRepresentation
bin111100100101111100…
…1010000100101001000
3110102212110002202101121
41321023321100211020
54112442303221300
6135435524525024
712254360321005
oct1711371204510
9412773082347
10130122320200
1150203726104
1221275850774
13c369331852
14642582a8ac
1535b897681a
hex1e4be50948

130122320200 has 96 divisors (see below), whose sum is σ = 314542368000. Its totient is φ = 50007225600.

The previous prime is 130122320197. The next prime is 130122320213. The reversal of 130122320200 is 2023221031.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 786306 + ... + 937294.

It is an arithmetic number, because the mean of its divisors is an integer number (3276483000).

Almost surely, 2130122320200 is an apocalyptic number.

130122320200 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 130122320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157271184000).

130122320200 is an abundant number, since it is smaller than the sum of its proper divisors (184420047800).

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

130122320200 is a wasteful number, since it uses less digits than its factorization.

130122320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151175 (or 151166 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 130122320200 its reverse (2023221031), we get a palindrome (132145541231).

The spelling of 130122320200 in words is "one hundred thirty billion, one hundred twenty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 139 155 200 248 278 310 556 620 695 775 1112 1240 1390 1550 2780 3100 3475 4309 5560 6200 6950 8618 13900 17236 21545 27800 34472 43090 86180 107725 150989 172360 215450 301978 430900 603956 754945 861800 1207912 1509890 3019780 3774725 4680659 6039560 7549450 9361318 15098900 18722636 20987471 23403295 30197800 37445272 41974942 46806590 83949884 93613180 104937355 117016475 167899768 187226360 209874710 234032950 419749420 468065900 524686775 650611601 839498840 936131800 1049373550 1301223202 2098747100 2602446404 3253058005 4197494200 5204892808 6506116010 13012232020 16265290025 26024464040 32530580050 65061160100 130122320200