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132301012201330 = 25724123328263589
BaseRepresentation
bin11110000101001110111010…
…110101011110111101110010
3122100102212001000102022200011
4132011032322311132331302
5114320104433110420310
61145214125043045134
736603301262541400
oct3605167265367562
9570385030368604
10132301012201330
11391785a9342135
1212a089a53707aa
1358a8c16567b4b
142495590396470
1510466bda2678a
hex7853bad5ef72

132301012201330 has 96 divisors (see below), whose sum is σ = 284996701145520. Its totient is φ = 44064064235520.

The previous prime is 132301012201321. The next prime is 132301012201333. The reversal of 132301012201330 is 33102210103231.

It can be written as a sum of positive squares in 8 ways, for example, as 1919075484249 + 130381936717081 = 1385307^2 + 11418491^2 .

It is not an unprimeable number, because it can be changed into a prime (132301012201333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9450825 + ... + 18812764.

Almost surely, 2132301012201330 is an apocalyptic number.

132301012201330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132301012201330 is an abundant number, since it is smaller than the sum of its proper divisors (152695688944190).

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

132301012201330 is a wasteful number, since it uses less digits than its factorization.

132301012201330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28263884 (or 28263877 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132301012201330 its reverse (33102210103231), we get a palindrome (165403222304561).

The spelling of 132301012201330 in words is "one hundred thirty-two trillion, three hundred one billion, twelve million, two hundred one thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 205 233 245 287 410 466 490 574 1165 1435 1631 2009 2330 2870 3262 4018 8155 9553 10045 11417 16310 19106 20090 22834 47765 57085 66871 95530 114170 133742 334355 468097 668710 936194 2340485 4680970 28263589 56527178 141317945 197845123 282635890 395690246 989225615 1158807149 1384915861 1978451230 2317614298 2769831722 5794035745 6585416237 6924579305 8111650043 11588071490 13170832474 13849158610 16223300086 32927081185 40558250215 46097913659 56781550301 65854162370 81116500430 92195827318 113563100602 230489568295 270002065717 283907751505 322685395613 460979136590 540004131434 567815503010 645370791226 1350010328585 1613426978065 1890014460019 2700020657170 3226853956130 3780028920038 9450072300095 13230101220133 18900144600190 26460202440266 66150506100665 132301012201330