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2100311104 = 26171930433
BaseRepresentation
bin111110100110000…
…0011010001000000
312102101002212012011
41331030003101000
513300134423404
6544224542304
7103022230663
oct17514032100
95371085164
102100311104
11988630901
124a7481994
13276199648
1415cd2b6da
15c45c9604
hex7d303440

2100311104 has 28 divisors (see below), whose sum is σ = 4412972124. Its totient is φ = 988381184.

The previous prime is 2100311093. The next prime is 2100311119. The reversal of 2100311104 is 4011130012.

It can be written as a sum of positive squares in 2 ways, for example, as 836366400 + 1263944704 = 28920^2 + 35552^2 .

It is a super-3 number, since 3×21003111043 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 964129 + ... + 966304.

Almost surely, 22100311104 is an apocalyptic number.

It is an amenable number.

2100311104 is an abundant number, since it is smaller than the sum of its proper divisors (2312661020).

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

2100311104 is a wasteful number, since it uses less digits than its factorization.

2100311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930462 (or 1930452 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2100311104 is about 45829.1512467774. The cubic root of 2100311104 is about 1280.6423988968.

Adding to 2100311104 its reverse (4011130012), we get a palindrome (6111441116).

The spelling of 2100311104 in words is "two billion, one hundred million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1930433 3860866 7721732 15443464 30886928 32817361 61773856 65634722 123547712 131269444 262538888 525077776 1050155552 2100311104