Search a number
-
+
2153563401 = 3118329473
BaseRepresentation
bin1000000001011100…
…1100010100001001
312120002022100121110
42000113030110021
513402303012101
6553410200533
7104236662333
oct20027142411
95502270543
102153563401
11a056a3070
12501283149
13284223192
14166030453
15c90e7cd6
hex805cc509

2153563401 has 24 divisors (see below), whose sum is σ = 3170985696. Its totient is φ = 1289328640.

The previous prime is 2153563361. The next prime is 2153563411. The reversal of 2153563401 is 1043653512.

It is not a de Polignac number, because 2153563401 - 211 = 2153561353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153563411) 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 23 ways as a sum of consecutive naturals, for example, 222601 + ... + 232073.

It is an arithmetic number, because the mean of its divisors is an integer number (132124404).

Almost surely, 22153563401 is an apocalyptic number.

It is an amenable number.

2153563401 is a deficient number, since it is larger than the sum of its proper divisors (1017422295).

2153563401 is an equidigital number, since it uses as much as digits as its factorization.

2153563401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2153563401 is about 46406.5017104285. The cubic root of 2153563401 is about 1291.3755335215.

The spelling of 2153563401 in words is "two billion, one hundred fifty-three million, five hundred sixty-three thousand, four hundred one".

Divisors: 1 3 11 33 83 249 913 2739 6889 9473 20667 28419 75779 104203 227337 312609 786259 2358777 8648849 25946547 65259497 195778491 717854467 2153563401