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2052122013 = 33520914591
BaseRepresentation
bin111101001010000…
…1110010110011101
312022000102121012000
41322110032112131
513200320401023
6535344032513
7101565515004
oct17224162635
95260377160
102052122013
11963407707
12493302739
132691c65a6
14156785c3b
15c025b243
hex7a50e59d

2052122013 has 16 divisors (see below), whose sum is σ = 3040972800. Its totient is φ = 1367724960.

The previous prime is 2052121997. The next prime is 2052122069. The reversal of 2052122013 is 3102212502.

It is not a de Polignac number, because 2052122013 - 24 = 2052121997 is a prime.

It is a super-2 number, since 2×20521220132 = 8422409512478344338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133348 + ... + 147938.

It is an arithmetic number, because the mean of its divisors is an integer number (190060800).

Almost surely, 22052122013 is an apocalyptic number.

It is an amenable number.

2052122013 is a deficient number, since it is larger than the sum of its proper divisors (988850787).

2052122013 is a wasteful number, since it uses less digits than its factorization.

2052122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19809 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2052122013 is about 45300.3533429928. The cubic root of 2052122013 is about 1270.7722612073.

Adding to 2052122013 its reverse (3102212502), we get a palindrome (5154334515).

The spelling of 2052122013 in words is "two billion, fifty-two million, one hundred twenty-two thousand, thirteen".

Divisors: 1 3 9 27 5209 14591 15627 43773 46881 131319 140643 393957 76004519 228013557 684040671 2052122013