Search a number
-
+
2010021104 = 2471321031031
BaseRepresentation
bin111011111001110…
…0111110011110000
312012002012122121002
41313303213303300
513104031133404
6531241421132
7100544616560
oct16763476360
95162178532
102010021104
11941671673
1248119a7a8
13260575700
14150d46da0
15bb6e1c1e
hex77ce7cf0

2010021104 has 120 divisors (see below), whose sum is σ = 4870973952. Its totient is φ = 786689280.

The previous prime is 2010021103. The next prime is 2010021107. The reversal of 2010021104 is 4011200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010021103) 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, 1949069 + ... + 1950099.

Almost surely, 22010021104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435486976).

2010021104 is an abundant number, since it is smaller than the sum of its proper divisors (2860952848).

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

2010021104 is a wasteful number, since it uses less digits than its factorization.

2010021104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2010021104 is about 44833.2589045231. The cubic root of 2010021104 is about 1262.0218450562.

Adding to 2010021104 its reverse (4011200102), we get a palindrome (6021221206).

The spelling of 2010021104 in words is "two billion, ten million, twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 169 182 206 208 338 364 412 676 721 728 824 1031 1183 1339 1352 1442 1456 1648 2062 2366 2678 2704 2884 4124 4732 5356 5768 7217 8248 9373 9464 10712 11536 13403 14434 16496 17407 18746 18928 21424 26806 28868 34814 37492 53612 57736 69628 74984 93821 106193 107224 115472 121849 139256 149968 174239 187642 212386 214448 243698 278512 348478 375284 424772 487396 696956 743351 750568 849544 974792 1219673 1380509 1393912 1486702 1501136 1699088 1949584 2439346 2761018 2787824 2973404 4878692 5522036 5946808 9663563 9757384 11044072 11893616 17946617 19327126 19514768 22088144 35893234 38654252 71786468 77308504 125626319 143572936 154617008 251252638 287145872 502505276 1005010552 2010021104