Search a number
-
+
120020111010 = 23251778444517
BaseRepresentation
bin110111111000111000…
…0011000111010100010
3102110210102000100121200
41233301300120322202
53431300122023020
6131045251302030
711446132053042
oct1576160307242
9373712010550
10120020111010
114699a250898
121b3165aa916
13b419409187
145b47c9d722
1531c6b29590
hex1bf1c18ea2

120020111010 has 48 divisors (see below), whose sum is σ = 330408309816. Its totient is φ = 30122694144.

The previous prime is 120020110981. The next prime is 120020111053. The reversal of 120020111010 is 10111020021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77087856609 + 42932254401 = 277647^2 + 207201^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120020110983 and 120020111001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39220729 + ... + 39223788.

Almost surely, 2120020111010 is an apocalyptic number.

120020111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120020111010 is an abundant number, since it is smaller than the sum of its proper divisors (210388198806).

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

120020111010 is a wasteful number, since it uses less digits than its factorization.

120020111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78444547 (or 78444544 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120020111010 its reverse (10111020021), we get a palindrome (130131131031).

The spelling of 120020111010 in words is "one hundred twenty billion, twenty million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 78444517 156889034 235333551 392222585 470667102 706000653 784445170 1176667755 1333556789 1412001306 2353335510 2667113578 3530003265 4000670367 6667783945 7060006530 8001340734 12002011101 13335567890 20003351835 24004022202 40006703670 60010055505 120020111010