Search a number
-
+
2124252524212 = 227131710914712141
BaseRepresentation
bin11110111010010111010…
…100010010111010110100
321112002001210220002000021
4132322113110102322310
5234300432121233322
64303511303454524
7306320646351160
oct36722724227264
97462053802007
102124252524212
11749988197325
122a383ba57444
13125415787750
1474b588c1ca0
153a3cb48a4c7
hex1ee97512eb4

2124252524212 has 192 divisors, whose sum is σ = 4894502215680. Its totient is φ = 782775705600.

The previous prime is 2124252524201. The next prime is 2124252524221.

2124252524212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992176662 + ... + 992178802.

It is an arithmetic number, because the mean of its divisors is an integer number (25492199040).

Almost surely, 22124252524212 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 2124252524212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447251107840).

2124252524212 is an abundant number, since it is smaller than the sum of its proper divisors (2770249691468).

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

2124252524212 is a wasteful number, since it uses less digits than its factorization.

2124252524212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3760 counting only the distinct ones).

The product of its digits is 51200, while the sum is 34.

The spelling of 2124252524212 in words is "two trillion, one hundred twenty-four billion, two hundred fifty-two million, five hundred twenty-four thousand, two hundred twelve".