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116020101072 = 24310139296091
BaseRepresentation
bin110110000001101010…
…1100011111111010000
3102002110122021210112110
41230003111203333100
53400102121213242
6125144321225320
711245041405351
oct1540325437720
9362418253473
10116020101072
1145227360157
121a59aa92240
13ac2c7b30a5
145888945d28
1530408a139c
hex1b03563fd0

116020101072 has 80 divisors (see below), whose sum is σ = 302812850880. Its totient is φ = 38274432000.

The previous prime is 116020101061. The next prime is 116020101077. The reversal of 116020101072 is 270101020611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116020101077) 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, 19044747 + ... + 19050837.

It is an arithmetic number, because the mean of its divisors is an integer number (3785160636).

Almost surely, 2116020101072 is an apocalyptic number.

116020101072 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 116020101072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151406425440).

116020101072 is an abundant number, since it is smaller than the sum of its proper divisors (186792749808).

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

116020101072 is a wasteful number, since it uses less digits than its factorization.

116020101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10132 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 116020101072 its reverse (270101020611), we get a palindrome (386121121683).

The spelling of 116020101072 in words is "one hundred sixteen billion, twenty million, one hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 3929 4848 6091 7858 11787 12182 15716 18273 23574 24364 31432 36546 47148 48728 62864 73092 94296 97456 146184 188592 292368 396829 615191 793658 1190487 1230382 1587316 1845573 2380974 2460764 3174632 3691146 4761948 4921528 6349264 7382292 9523896 9843056 14764584 19047792 23931539 29529168 47863078 71794617 95726156 143589234 191452312 287178468 382904624 574356936 1148713872 2417085439 4834170878 7251256317 9668341756 14502512634 19336683512 29005025268 38673367024 58010050536 116020101072