Search a number
-
+
120015100000 = 25552814271
BaseRepresentation
bin110111111000101110…
…1010001100001100000
3102110210001120202210201
41233301131101201200
53431242331200000
6131044552034544
711446041342505
oct1576135214140
9373701522721
10120015100000
1146997438a64
121b314992a54
13b418373393
145b473574ac
1531c648996a
hex1bf1751860

120015100000 has 144 divisors (see below), whose sum is σ = 296451150912. Its totient is φ = 47824000000.

The previous prime is 120015099979. The next prime is 120015100087. The reversal of 120015100000 is 1510021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 120015100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28097865 + ... + 28102135.

It is an arithmetic number, because the mean of its divisors is an integer number (2058688548).

Almost surely, 2120015100000 is an apocalyptic number.

120015100000 is a gapful number since it is divisible by the number (10) 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 120015100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148225575456).

120015100000 is an abundant number, since it is smaller than the sum of its proper divisors (176436050912).

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

120015100000 is an frugal number, since it uses more digits than its factorization.

120015100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 120015100000 its reverse (1510021), we get a palindrome (120016610021).

The spelling of 120015100000 in words is "one hundred twenty billion, fifteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 281 400 500 562 625 800 1000 1124 1250 1405 2000 2248 2500 2810 3125 4000 4271 4496 5000 5620 6250 7025 8542 8992 10000 11240 12500 14050 17084 20000 21355 22480 25000 28100 34168 35125 42710 44960 50000 56200 68336 70250 85420 100000 106775 112400 136672 140500 170840 175625 213550 224800 281000 341680 351250 427100 533875 562000 683360 702500 854200 878125 1067750 1124000 1200151 1405000 1708400 1756250 2135500 2400302 2669375 2810000 3416800 3512500 4271000 4800604 5338750 5620000 6000755 7025000 8542000 9601208 10677500 12001510 13346875 14050000 17084000 19202416 21355000 24003020 26693750 28100000 30003775 38404832 42710000 48006040 53387500 60007550 85420000 96012080 106775000 120015100 150018875 192024160 213550000 240030200 300037750 427100000 480060400 600075500 750094375 960120800 1200151000 1500188750 2400302000 3000377500 3750471875 4800604000 6000755000 7500943750 12001510000 15001887500 24003020000 30003775000 60007550000 120015100000