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132020233332012 = 2235151318976491
BaseRepresentation
bin11110000001001001011011…
…000111000110010100101100
3122022110000022001102220100000
4132001021123013012110230
5114301004414213111022
61144441131413304300
736544101311534634
oct3601113307062454
9568400261386300
10132020233332012
113907a514a56903
12129824a5035090
1358885ba94bc5c
142485b55d116c4
15103e238a326ac
hex78125b1c652c

132020233332012 has 72 divisors (see below), whose sum is σ = 346100641653312. Its totient is φ = 44003831158800.

The previous prime is 132020233332011. The next prime is 132020233332041. The reversal of 132020233332012 is 210233332020231.

132020233332012 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 0 + 2 + 333 + 320 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132020233332011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10219087 + ... + 19195577.

It is an arithmetic number, because the mean of its divisors is an integer number (4806953356296).

Almost surely, 2132020233332012 is an apocalyptic number.

132020233332012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132020233332012 is an abundant number, since it is smaller than the sum of its proper divisors (214080408321300).

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

132020233332012 is a wasteful number, since it uses less digits than its factorization.

132020233332012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8991641 (or 8991627 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132020233332012 its reverse (210233332020231), we get a palindrome (342253565352243).

The spelling of 132020233332012 in words is "one hundred thirty-two trillion, twenty billion, two hundred thirty-three million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 15131 30262 45393 60524 90786 136179 181572 272358 408537 544716 817074 1225611 1634148 2451222 3676833 4902444 7353666 8976491 14707332 17952982 26929473 35905964 53858946 80788419 107717892 161576838 242365257 323153676 484730514 727095771 969461028 1454191542 2181287313 2908383084 4362574626 8725149252 135823285321 271646570642 407469855963 543293141284 814939711926 1222409567889 1629879423852 2444819135778 3667228703667 4889638271556 7334457407334 11001686111001 14668914814668 22003372222002 33005058333003 44006744444004 66010116666006 132020233332012