Search a number
-
+
2052124212501 = 35114118724957
BaseRepresentation
bin11101110111001100001…
…000100111110100010101
321021011220001202012100000
4131313030020213310111
5232110222244300001
64210422143441513
7301155360000126
oct35671410476425
97234801665300
102052124212501
1172133468a160
122918702b6299
1311b68c41b86c
147147537004d
15385a90bda86
hex1ddcc227d15

2052124212501 has 48 divisors (see below), whose sum is σ = 3435205894848. Its totient is φ = 1213377148800.

The previous prime is 2052124212451. The next prime is 2052124212569. The reversal of 2052124212501 is 1052124212502.

2052124212501 is a `hidden beast` number, since 2 + 0 + 5 + 212 + 421 + 25 + 0 + 1 = 666.

It is not a de Polignac number, because 2052124212501 - 233 = 2043534277909 is a prime.

It is a super-2 number, since 2×20521242125012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052124217501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9252886 + ... + 9472071.

It is an arithmetic number, because the mean of its divisors is an integer number (71566789476).

Almost surely, 22052124212501 is an apocalyptic number.

It is an amenable number.

2052124212501 is a deficient number, since it is larger than the sum of its proper divisors (1383081682347).

2052124212501 is a wasteful number, since it uses less digits than its factorization.

2052124212501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18725024 (or 18725012 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Subtracting from 2052124212501 its reverse (1052124212502), we obtain a palindrome (999999999999).

The spelling of 2052124212501 in words is "two trillion, fifty-two billion, one hundred twenty-four million, two hundred twelve thousand, five hundred one".

Divisors: 1 3 9 11 27 33 41 81 99 123 243 297 369 451 891 1107 1353 2673 3321 4059 9963 12177 36531 109593 18724957 56174871 168524613 205974527 505573839 617923581 767723237 1516721517 1853770743 2303169711 4550164551 5561312229 6909509133 8444955607 16683936687 20728527399 25334866821 50051810061 62185582197 76004600463 186556746591 228013801389 684041404167 2052124212501