Search a number
-
+
2101121010 = 232547234943
BaseRepresentation
bin111110100111100…
…1000111111110010
312102102122000011200
41331033020333302
513300341333020
6544254152030
7103032143142
oct17517107762
95372560150
102101121010
1198903434a
124a77b2616
132763c1191
1415d09c922
15c46d9590
hex7d3c8ff2

2101121010 has 48 divisors (see below), whose sum is σ = 5465176704. Its totient is φ = 560066976.

The previous prime is 2101120991. The next prime is 2101121017. The reversal of 2101121010 is 101211012.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2101120983 and 2101121001.

It is not an unprimeable number, because it can be changed into a prime (2101121017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422599 + ... + 427541.

It is an arithmetic number, because the mean of its divisors is an integer number (113857848).

Almost surely, 22101121010 is an apocalyptic number.

2101121010 is an abundant number, since it is smaller than the sum of its proper divisors (3364055694).

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

2101121010 is a wasteful number, since it uses less digits than its factorization.

2101121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9679 (or 9676 counting only the distinct ones).

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

The square root of 2101121010 is about 45837.9865395504. The cubic root of 2101121010 is about 1280.8069882713.

Adding to 2101121010 its reverse (101211012), we get a palindrome (2202332022).

The spelling of 2101121010 in words is "two billion, one hundred one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4723 4943 9446 9886 14169 14829 23615 24715 28338 29658 42507 44487 47230 49430 70845 74145 85014 88974 141690 148290 212535 222435 425070 444870 23345789 46691578 70037367 116728945 140074734 210112101 233457890 350186835 420224202 700373670 1050560505 2101121010