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120031310432 = 25114367118361
BaseRepresentation
bin110111111001001101…
…1000111001001100000
3102110211012002100100002
41233302123013021200
53431311003413212
6131050331315132
711446326206315
oct1576233071140
9373735070302
10120031310432
11469a5600110
121b31a2abaa8
13b41b82a957
145b49576d0c
1531c7adcac2
hex1bf26c7260

120031310432 has 96 divisors (see below), whose sum is σ = 267729162624. Its totient is φ = 52495027200.

The previous prime is 120031310419. The next prime is 120031310437. The reversal of 120031310432 is 234013130021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031310437) 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 15 ways as a sum of consecutive naturals, for example, 954932 + ... + 1073292.

It is an arithmetic number, because the mean of its divisors is an integer number (2788845444).

Almost surely, 2120031310432 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 120031310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133864581312).

120031310432 is an abundant number, since it is smaller than the sum of its proper divisors (147697852192).

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

120031310432 is a wasteful number, since it uses less digits than its factorization.

120031310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118492 (or 118484 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 120031310432 its reverse (234013130021), we get a palindrome (354044440453).

The spelling of 120031310432 in words is "one hundred twenty billion, thirty-one million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 67 86 88 134 172 176 268 344 352 473 536 688 737 946 1072 1376 1474 1892 2144 2881 2948 3784 5762 5896 7568 11524 11792 15136 23048 23584 31691 46096 63382 92192 118361 126764 236722 253528 473444 507056 946888 1014112 1301971 1893776 2603942 3787552 5089523 5207884 7930187 10179046 10415768 15860374 20358092 20831536 31720748 40716184 41663072 55984753 63441496 81432368 87232057 111969506 126882992 162864736 174464114 223939012 253765984 340998041 348928228 447878024 681996082 697856456 895756048 1363992164 1395712912 1791512096 2727984328 2791425824 3750978451 5455968656 7501956902 10911937312 15003913804 30007827608 60015655216 120031310432