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2120413134 = 2371132291951
BaseRepresentation
bin111111001100010…
…1110111111001110
312110202221010222210
41332120232333032
513320311210014
6550223451250
7103355133330
oct17630567716
95422833883
102120413134
11998a10854
124b2156b26
1327a3b7338
14161881450
15c624a859
hex7e62efce

2120413134 has 64 divisors (see below), whose sum is σ = 4913418240. Its totient is φ = 597542400.

The previous prime is 2120413133. The next prime is 2120413151. The reversal of 2120413134 is 4313140212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2120413134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120413133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085859 + ... + 1087809.

It is an arithmetic number, because the mean of its divisors is an integer number (76772160).

Almost surely, 22120413134 is an apocalyptic number.

2120413134 is an abundant number, since it is smaller than the sum of its proper divisors (2793005106).

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

2120413134 is a wasteful number, since it uses less digits than its factorization.

2120413134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2120413134 is about 46047.9438628914. The cubic root of 2120413134 is about 1284.7150996219.

Adding to 2120413134 its reverse (4313140212), we get a palindrome (6433553346).

The spelling of 2120413134 in words is "two billion, one hundred twenty million, four hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 113 226 229 339 458 678 687 791 1374 1582 1603 1951 2373 3206 3902 4746 4809 5853 9618 11706 13657 25877 27314 40971 51754 77631 81942 155262 181139 220463 362278 440926 446779 543417 661389 893558 1086834 1322778 1340337 1543241 2680674 3086482 3127453 4629723 6254906 9259446 9382359 18764718 50486027 100972054 151458081 302916162 353402189 706804378 1060206567 2120413134