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2101104120 = 2335171029953
BaseRepresentation
bin111110100111100…
…0100110111111000
312102102121011000010
41331033010313320
513300340312440
6544253541520
7103032042663
oct17517046770
95372534003
102101104120
11989022695
124a77a48a0
132763b659b
1415d0966da
15c46d4580
hex7d3c4df8

2101104120 has 64 divisors (see below), whose sum is σ = 6674101920. Its totient is φ = 527335424.

The previous prime is 2101104097. The next prime is 2101104133. The reversal of 2101104120 is 214011012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2101104096 and 2101104105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 512937 + ... + 517016.

Almost surely, 22101104120 is an apocalyptic number.

2101104120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101104120 is an abundant number, since it is smaller than the sum of its proper divisors (4572997800).

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

2101104120 is a wasteful number, since it uses less digits than its factorization.

2101104120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029984 (or 1029980 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2101104120 is about 45837.8023033391. The cubic root of 2101104120 is about 1280.8035563116.

Adding to 2101104120 its reverse (214011012), we get a palindrome (2315115132).

The spelling of 2101104120 in words is "two billion, one hundred one million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 1029953 2059906 3089859 4119812 5149765 6179718 8239624 10299530 12359436 15449295 17509201 20599060 24718872 30898590 35018402 41198120 52527603 61797180 70036804 87546005 105055206 123594360 140073608 175092010 210110412 262638015 350184020 420220824 525276030 700368040 1050552060 2101104120