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132101130312 = 23341103184823
BaseRepresentation
bin111101100000111010…
…1110100100001001000
3110121222100120201120000
41323001311310201020
54131020342132222
6140404133403000
712354406036464
oct1730165644110
9417870521500
10132101130312
115102970a468
1221728499460
13c5c3299cc8
14657256b4a4
1536825509ac
hex1ec1d74848

132101130312 has 80 divisors (see below), whose sum is σ = 370342938240. Its totient is φ = 43993550304.

The previous prime is 132101130247. The next prime is 132101130323. The reversal of 132101130312 is 213031101231.

132101130312 is a `hidden beast` number, since 1 + 321 + 0 + 1 + 1 + 30 + 312 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 622333 + ... + 807155.

It is an arithmetic number, because the mean of its divisors is an integer number (4629286728).

Almost surely, 2132101130312 is an apocalyptic number.

132101130312 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 132101130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185171469120).

132101130312 is an abundant number, since it is smaller than the sum of its proper divisors (238241807928).

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

132101130312 is a wasteful number, since it uses less digits than its factorization.

132101130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185944 (or 185931 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132101130312 its reverse (213031101231), we get a palindrome (345132231543).

The spelling of 132101130312 in words is "one hundred thirty-two billion, one hundred one million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1103 2206 3309 4412 6618 8824 9927 13236 19854 26472 29781 39708 59562 79416 89343 119124 178686 184823 238248 357372 369646 554469 714744 739292 1108938 1478584 1663407 2217876 3326814 4435752 4990221 6653628 9980442 13307256 14970663 19960884 29941326 39921768 59882652 119765304 203859769 407719538 611579307 815439076 1223158614 1630878152 1834737921 2446317228 3669475842 4892634456 5504213763 7338951684 11008427526 14677903368 16512641289 22016855052 33025282578 44033710104 66050565156 132101130312