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130101221232 = 243229108728661
BaseRepresentation
bin111100100101010100…
…0110001011101110000
3110102210222101211001100
41321022220301131300
54112421403034412
6135433452404400
712254013063663
oct1711250613560
9412728354040
10130101221232
11501a2825144
122126a776700
13c364b55158
146422ad76da
1535b6ba9edc
hex1e4aa31770

130101221232 has 120 divisors (see below), whose sum is σ = 377017655040. Its totient is φ = 41831677440.

The previous prime is 130101221227. The next prime is 130101221273. The reversal of 130101221232 is 232122101031.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4524982 + ... + 4553642.

It is an arithmetic number, because the mean of its divisors is an integer number (3141813792).

Almost surely, 2130101221232 is an apocalyptic number.

130101221232 is a gapful number since it is divisible by the number (12) 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 130101221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188508827520).

130101221232 is an abundant number, since it is smaller than the sum of its proper divisors (246916433808).

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

130101221232 is a wasteful number, since it uses less digits than its factorization.

130101221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29791 (or 29782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130101221232 its reverse (232122101031), we get a palindrome (362223322263).

The spelling of 130101221232 in words is "one hundred thirty billion, one hundred one million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1087 1392 2088 2174 3261 4176 4348 6522 8696 9783 13044 17392 19566 26088 28661 31523 39132 52176 57322 63046 78264 85983 94569 114644 126092 156528 171966 189138 229288 252184 257949 283707 343932 378276 458576 504368 515898 567414 687864 756552 831169 1031796 1134828 1375728 1513104 1662338 2063592 2269656 2493507 3324676 4127184 4539312 4987014 6649352 7480521 9974028 13298704 14961042 19948056 29922084 31154507 39896112 59844168 62309014 93463521 119688336 124618028 186927042 249236056 280390563 373854084 498472112 560781126 747708168 903480703 1121562252 1495416336 1806961406 2243124504 2710442109 3613922812 4486249008 5420884218 7227845624 8131326327 10841768436 14455691248 16262652654 21683536872 32525305308 43367073744 65050610616 130101221232