Search a number
-
+
120415002000 = 2435320069167
BaseRepresentation
bin111000000100101001…
…0110001110110010000
3102111210221001220012220
41300021102301312100
53433102220031000
6131152355221040
711461665425526
oct1601122616620
9374727056186
10120415002000
1147082147287
121b4068a7780
13b48017c197
145b844d4316
1531eb62e1a0
hex1c094b1d90

120415002000 has 80 divisors (see below), whose sum is σ = 388217985792. Its totient is φ = 32110665600.

The previous prime is 120415001999. The next prime is 120415002011. The reversal of 120415002000 is 200514021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10028584 + ... + 10040583.

Almost surely, 2120415002000 is an apocalyptic number.

120415002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120415002000 is an abundant number, since it is smaller than the sum of its proper divisors (267802983792).

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

120415002000 is a wasteful number, since it uses less digits than its factorization.

120415002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20069193 (or 20069177 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 120415002000 its reverse (200514021), we get a palindrome (120615516021).

The spelling of 120415002000 in words is "one hundred twenty billion, four hundred fifteen million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 20069167 40138334 60207501 80276668 100345835 120415002 160553336 200691670 240830004 301037505 321106672 401383340 481660008 501729175 602075010 802766680 963320016 1003458350 1204150020 1505187525 1605533360 2006916700 2408300040 2508645875 3010375050 4013833400 4816600080 5017291750 6020750100 7525937625 8027666800 10034583500 12041500200 15051875250 20069167000 24083000400 30103750500 40138334000 60207501000 120415002000