Search a number
-
+
120031075104 = 2535032485733
BaseRepresentation
bin110111111001001101…
…0001101101100100000
3102110211011122101112020
41233302122031230200
53431310423400404
6131050322301440
711446324206243
oct1576232155440
9373734571466
10120031075104
11469a545a326
121b31a1b7880
13b41b7777c5
145b4951525a
1531c7a92ed9
hex1bf268db20

120031075104 has 48 divisors (see below), whose sum is σ = 315708103872. Its totient is φ = 39930798848.

The previous prime is 120031075103. The next prime is 120031075111. The reversal of 120031075104 is 401570130021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1200310751042 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120031075103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1194579 + ... + 1291154.

It is an arithmetic number, because the mean of its divisors is an integer number (6577252164).

Almost surely, 2120031075104 is an apocalyptic number.

It is an amenable number.

120031075104 is an abundant number, since it is smaller than the sum of its proper divisors (195677028768).

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

120031075104 is a wasteful number, since it uses less digits than its factorization.

120031075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486249 (or 2486241 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 120031075104 in words is "one hundred twenty billion, thirty-one million, seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 503 1006 1509 2012 3018 4024 6036 8048 12072 16096 24144 48288 2485733 4971466 7457199 9942932 14914398 19885864 29828796 39771728 59657592 79543456 119315184 238630368 1250323699 2500647398 3750971097 5001294796 7501942194 10002589592 15003884388 20005179184 30007768776 40010358368 60015537552 120031075104