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132323120132 = 22753591798443
BaseRepresentation
bin111101100111100010…
…0101001010000000100
3110122112211021222100012
41323033010221100010
54131444204321012
6140442143405352
712363042651230
oct1731704512004
9418484258305
10132323120132
1151132a51725
122178a8b3858
13c62a283328
146593c355c0
153696ca0622
hex1ecf129404

132323120132 has 96 divisors (see below), whose sum is σ = 275774284800. Its totient is φ = 54384849792.

The previous prime is 132323120123. The next prime is 132323120141. The reversal of 132323120132 is 231021323231.

It is an interprime number because it is at equal distance from previous prime (132323120123) and next prime (132323120141).

It is a junction number, because it is equal to n+sod(n) for n = 132323120098 and 132323120107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15668303 + ... + 15676745.

It is an arithmetic number, because the mean of its divisors is an integer number (2872648800).

Almost surely, 2132323120132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137887142400).

132323120132 is an abundant number, since it is smaller than the sum of its proper divisors (143451164668).

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

132323120132 is a wasteful number, since it uses less digits than its factorization.

132323120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132323120132 its reverse (231021323231), we get a palindrome (363344443363).

The spelling of 132323120132 in words is "one hundred thirty-two billion, three hundred twenty-three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 59 106 118 179 212 236 358 371 413 716 742 826 1253 1484 1652 2506 3127 5012 6254 8443 9487 10561 12508 16886 18974 21122 21889 33772 37948 42244 43778 59101 66409 73927 87556 118202 132818 147854 236404 265636 295708 447479 498137 559733 894958 996274 1119466 1511297 1789916 1992548 2238932 3022594 3132353 3486959 3918131 6045188 6264706 6973918 7836262 10579079 12529412 13947836 15672524 21158158 26401261 42316316 52802522 80098741 89166523 105605044 160197482 178333046 184808827 320394964 356666092 369617654 560691187 624165661 739235308 1121382374 1248331322 2242764748 2496662644 4725825719 9451651438 18903302876 33080780033 66161560066 132323120132