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132301221325 = 527213193311321
BaseRepresentation
bin111101100110111000…
…1000110110111001101
3110122111022002101211021
41323031301012313031
54131423103040300
6140440042154141
712362355553300
oct1731561066715
9418438071737
10132301221325
1151121654839
12217834b2951
13c625886860
146590d74b37
153694dc6d1a
hex1ecdc46dcd

132301221325 has 144 divisors (see below), whose sum is σ = 217152143040. Its totient is φ = 79035264000.

The previous prime is 132301221319. The next prime is 132301221329. The reversal of 132301221325 is 523122103231.

It is not a de Polignac number, because 132301221325 - 23 = 132301221317 is a prime.

It is a super-2 number, since 2×1323012213252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 132301221325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132301221329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100151665 + ... + 100152985.

Almost surely, 2132301221325 is an apocalyptic number.

It is an amenable number.

132301221325 is a deficient number, since it is larger than the sum of its proper divisors (84850921715).

132301221325 is a wasteful number, since it uses less digits than its factorization.

132301221325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 132301221325 its reverse (523122103231), we get a palindrome (655423324556).

The spelling of 132301221325 in words is "one hundred thirty-two billion, three hundred one million, two hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 5 7 13 19 25 35 49 65 91 95 133 175 245 247 325 331 455 475 637 665 931 1225 1235 1321 1655 1729 2275 2317 3185 3325 4303 4655 6175 6289 6605 8275 8645 9247 11585 12103 15925 16219 17173 21515 23275 25099 30121 31445 33025 43225 44023 46235 57925 60515 64729 81095 81757 85865 107575 120211 125495 150605 157225 175693 210847 220115 231175 302575 308161 323645 326287 405475 408785 429325 437251 572299 601055 627475 753025 841477 878465 1054235 1100575 1229851 1540805 1618225 1631435 2043925 2186255 2284009 2861495 3005275 3060757 4006093 4207385 4392325 5271175 5684263 6149255 7704025 8157175 8307769 10931275 11420045 14307475 15303785 15988063 20030465 21036925 21425299 28421315 30746275 39789841 41538845 57100225 58154383 76518925 79940315 100152325 107126495 108000997 142106575 198949205 207694225 278528887 290771915 399701575 407080681 535632475 540004985 756006979 994746025 1392644435 1453859575 2035403405 2700024925 3780034895 5292048853 6963222175 10177017025 18900174475 26460244265 132301221325