Search a number
-
+
2120102040 = 233572523931
BaseRepresentation
bin111111001011110…
…0011000010011000
312110202100100020210
41332113203002120
513320221231130
6550213051120
7103352366340
oct17627430230
95422310223
102120102040
11998819051
124b2026aa0
1327a308864
141617ddd20
15c61d85b0
hex7e5e3098

2120102040 has 64 divisors (see below), whose sum is σ = 7268924160. Its totient is φ = 484594560.

The previous prime is 2120102029. The next prime is 2120102041. The reversal of 2120102040 is 402010212.

2120102040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120102041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261126 + ... + 1262805.

It is an arithmetic number, because the mean of its divisors is an integer number (113576940).

Almost surely, 22120102040 is an apocalyptic number.

2120102040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120102040 is an abundant number, since it is smaller than the sum of its proper divisors (5148822120).

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

2120102040 is a wasteful number, since it uses less digits than its factorization.

2120102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523952 (or 2523948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120102040 is about 46044.5658031434. The cubic root of 2120102040 is about 1284.6522680444.

Adding to 2120102040 its reverse (402010212), we get a palindrome (2522112252).

The spelling of 2120102040 in words is "two billion, one hundred twenty million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2523931 5047862 7571793 10095724 12619655 15143586 17667517 20191448 25239310 30287172 35335034 37858965 50478620 53002551 60574344 70670068 75717930 88337585 100957240 106005102 141340136 151435860 176675170 212010204 265012755 302871720 353350340 424020408 530025510 706700680 1060051020 2120102040