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2152341104 = 242357110243
BaseRepresentation
bin1000000001001010…
…0001111001110000
312120000000020221012
42000102201321300
513401444403404
6553324050052
7104223411644
oct20022417160
95500006835
102152341104
11a04a38801
12500993928
13283bb5a24
14165bd2c24
15c8e55a6e
hex804a1e70

2152341104 has 40 divisors (see below), whose sum is σ = 4359518592. Its totient is φ = 1027477440.

The previous prime is 2152341101. The next prime is 2152341131. The reversal of 2152341104 is 4011432512.

2152341104 = T7864 + T7865 + ... + T7932.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2152341104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152341101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205007 + ... + 215249.

Almost surely, 22152341104 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 2152341104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179759296).

2152341104 is an abundant number, since it is smaller than the sum of its proper divisors (2207177488).

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

2152341104 is a wasteful number, since it uses less digits than its factorization.

2152341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10845 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2152341104 is about 46393.3303827177. The cubic root of 2152341104 is about 1291.1311721436.

Adding to 2152341104 its reverse (4011432512), we get a palindrome (6163773616).

The spelling of 2152341104 in words is "two billion, one hundred fifty-two million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 368 571 1142 2284 4568 9136 10243 13133 20486 26266 40972 52532 81944 105064 163888 210128 235589 471178 942356 1884712 3769424 5848753 11697506 23395012 46790024 93580048 134521319 269042638 538085276 1076170552 2152341104