Search a number
-
+
2102144130 = 233565311923
BaseRepresentation
bin111110101001100…
…0010110010000010
312102111112222122000
41331103002302002
513301122103010
6544332124430
7103043634042
oct17523026202
95374488560
102102144130
11989672aa9
124a8006716
1327668ba88
1415d287722
15c483c7c0
hex7d4c2c82

2102144130 has 64 divisors (see below), whose sum is σ = 5614773120. Its totient is φ = 559666368.

The previous prime is 2102144123. The next prime is 2102144147. The reversal of 2102144130 is 314412012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170349 + ... + 182271.

It is an arithmetic number, because the mean of its divisors is an integer number (87730830).

Almost surely, 22102144130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102144130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807386560).

2102144130 is an abundant number, since it is smaller than the sum of its proper divisors (3512628990).

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

2102144130 is a wasteful number, since it uses less digits than its factorization.

2102144130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12592 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2102144130 is about 45849.1453573564. The cubic root of 2102144130 is about 1281.0148466159.

Adding to 2102144130 its reverse (314412012), we get a palindrome (2416556142).

The spelling of 2102144130 in words is "two billion, one hundred two million, one hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 653 1306 1959 3265 3918 5877 6530 9795 11754 11923 17631 19590 23846 29385 35262 35769 58770 59615 71538 88155 107307 119230 176310 178845 214614 321921 357690 536535 643842 1073070 1609605 3219210 7785719 15571438 23357157 38928595 46714314 70071471 77857190 116785785 140142942 210214413 233571570 350357355 420428826 700714710 1051072065 2102144130