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220132331122032 = 2434724265027681
BaseRepresentation
bin110010000011010110001101…
…011001100110110101110000
31001212102110000122110002010000
4302003112031121212311300
5212323122003231401112
62100103221414510000
764240015243326060
oct6203261531466560
91055373018402100
10220132331122032
1164160663097a4a
1220833154365300
1395aa50b398194
143c50666b9b3a0
151a6b2317567dc
hexc8358d666d70

220132331122032 has 100 divisors (see below), whose sum is σ = 728144950681456. Its totient is φ = 62894951746560.

The previous prime is 220132331122031. The next prime is 220132331122037. The reversal of 220132331122032 is 230221133231022.

220132331122032 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 323 + 311 + 2 + 20 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 220132331121987 and 220132331122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220132331122031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12132504769 + ... + 12132522912.

Almost surely, 2220132331122032 is an apocalyptic number.

It is an amenable number.

220132331122032 is an abundant number, since it is smaller than the sum of its proper divisors (508012619559424).

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

220132331122032 is a wasteful number, since it uses less digits than its factorization.

220132331122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24265027708 (or 24265027693 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 220132331122032 its reverse (230221133231022), we get a palindrome (450353464353054).

The spelling of 220132331122032 in words is "two hundred twenty trillion, one hundred thirty-two billion, three hundred thirty-one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 24265027681 48530055362 72795083043 97060110724 145590166086 169855193767 194120221448 218385249129 291180332172 339710387534 388240442896 436770498258 509565581301 582360664344 655155747387 679420775068 873540996516 1019131162602 1164721328688 1310311494774 1358841550136 1528696743903 1747081993032 1965467242161 2038262325204 2620622989548 2717683100272 3057393487806 3494163986064 3930934484322 4076524650408 4586090231709 5241245979096 6114786975612 7861868968644 8153049300816 9172180463418 10482491958192 12229573951224 13758270695127 15723737937288 18344360926836 24459147902448 27516541390254 31447475874576 36688721853672 55033082780508 73377443707344 110066165561016 220132331122032