Search a number
-
+
2101111020 = 2232511672839
BaseRepresentation
bin111110100111100…
…0110100011101100
312102102121111110200
41331033012203230
513300341023040
6544254033500
7103032102051
oct17517064354
95372544420
102101111020
11989027898
124a77a8890
132763b9778
1415d099028
15c46d6630
hex7d3c68ec

2101111020 has 36 divisors (see below), whose sum is σ = 6373370640. Its totient is φ = 560296224.

The previous prime is 2101111007. The next prime is 2101111027. The reversal of 2101111020 is 201111012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2101110993 and 2101111011.

It is not an unprimeable number, because it can be changed into a prime (2101111027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5836240 + ... + 5836599.

Almost surely, 22101111020 is an apocalyptic number.

2101111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101111020 is an abundant number, since it is smaller than the sum of its proper divisors (4272259620).

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

2101111020 is a wasteful number, since it uses less digits than its factorization.

2101111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11672854 (or 11672849 counting only the distinct ones).

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

The square root of 2101111020 is about 45837.8775686659. The cubic root of 2101111020 is about 1280.8049583577.

Adding to 2101111020 its reverse (201111012), we get a palindrome (2302222032).

The spelling of 2101111020 in words is "two billion, one hundred one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11672839 23345678 35018517 46691356 58364195 70037034 105055551 116728390 140074068 175092585 210111102 233456780 350185170 420222204 525277755 700370340 1050555510 2101111020