Search a number
-
+
133032120011232 = 25313114919276499
BaseRepresentation
bin11110001111110111110100…
…010000011100100111100000
3122110000202011011202012021120
4132033313310100130213200
5114414044240210324412
61150534040124452240
740010152643435301
oct3617676420344740
9573022134665246
10133032120011232
113942a672673832
1212b066239aa080
13592cb4b7535a0
1424bcb08cb87a8
15105a70dad2b8c
hex78fdf441c9e0

133032120011232 has 96 divisors (see below), whose sum is σ = 376104338064000. Its totient is φ = 40929393415680.

The previous prime is 133032120011137. The next prime is 133032120011237. The reversal of 133032120011232 is 232110021230331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032120011237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9702519 + ... + 18979017.

It is an arithmetic number, because the mean of its divisors is an integer number (3917753521500).

Almost surely, 2133032120011232 is an apocalyptic number.

133032120011232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133032120011232 is an abundant number, since it is smaller than the sum of its proper divisors (243072218052768).

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

133032120011232 is a wasteful number, since it uses less digits than its factorization.

133032120011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9288016 (or 9288008 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 133032120011232 its reverse (232110021230331), we get a palindrome (365142141241563).

The spelling of 133032120011232 in words is "one hundred thirty-three trillion, thirty-two billion, one hundred twenty million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 11491 22982 34473 45964 68946 91928 137892 149383 183856 275784 298766 367712 448149 551568 597532 896298 1103136 1195064 1792596 2390128 3585192 4780256 7170384 9276499 14340768 18552998 27829497 37105996 55658994 74211992 111317988 120594487 148423984 222635976 241188974 296847968 361783461 445271952 482377948 723566922 890543904 964755896 1447133844 1929511792 2894267688 3859023584 5788535376 11577070752 106596250009 213192500018 319788750027 426385000036 639577500054 852770000072 1279155000108 1385751250117 1705540000144 2558310000216 2771502500234 3411080000288 4157253750351 5116620000432 5543005000468 8314507500702 10233240000864 11086010000936 16629015001404 22172020001872 33258030002808 44344040003744 66516060005616 133032120011232