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120200011002 = 23237599301303
BaseRepresentation
bin110111111110001111…
…0101001110011111010
3102111020221112020000100
41233330132221303322
53432132200323002
6131115155220230
711453445143601
oct1577436516372
9374227466010
10120200011002
1146a81855375
121b3668a7676
13b447776686
145b63b2ca38
1531d781311c
hex1bfc7a9cfa

120200011002 has 48 divisors (see below), whose sum is σ = 267919516800. Its totient is φ = 38918576736.

The previous prime is 120200010961. The next prime is 120200011007. The reversal of 120200011002 is 200110002021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120200011007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248283 + ... + 549585.

It is an arithmetic number, because the mean of its divisors is an integer number (5581656600).

Almost surely, 2120200011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120200011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133959758400).

120200011002 is an abundant number, since it is smaller than the sum of its proper divisors (147719505798).

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

120200011002 is a wasteful number, since it uses less digits than its factorization.

120200011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301947 (or 301944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120200011002 its reverse (200110002021), we get a palindrome (320310013023).

The spelling of 120200011002 in words is "one hundred twenty billion, two hundred million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 599 666 1198 1797 3594 5391 10782 22163 44326 66489 132978 199467 301303 398934 602606 903909 1807818 2711727 5423454 11148211 22296422 33444633 66889266 100333899 180480497 200667798 360960994 541441491 1082882982 1624324473 3248648946 6677778389 13355556778 20033335167 40066670334 60100005501 120200011002