Search a number
-
+
153122510301 = 3190126849467
BaseRepresentation
bin1000111010011011010…
…0000001010111011101
3112122020101000110202020
42032212310001113131
510002043330312201
6154202110450353
714030342601555
oct2164664012735
9478211013666
10153122510301
1159a36735382
12258145039b9
13115934593a7
1475a8368165
153eb2cc2a36
hex23a6d015dd

153122510301 has 8 divisors (see below), whose sum is σ = 204270752544. Its totient is φ = 102027970800.

The previous prime is 153122510257. The next prime is 153122510339. The reversal of 153122510301 is 103015221351.

153122510301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 153122510301 - 27 = 153122510173 is a prime.

It is a super-2 number, since 2×1531225103012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153122610301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13419031 + ... + 13430436.

It is an arithmetic number, because the mean of its divisors is an integer number (25533844068).

Almost surely, 2153122510301 is an apocalyptic number.

It is an amenable number.

153122510301 is a deficient number, since it is larger than the sum of its proper divisors (51148242243).

153122510301 is a wasteful number, since it uses less digits than its factorization.

153122510301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26851371.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 153122510301 its reverse (103015221351), we get a palindrome (256137731652).

The spelling of 153122510301 in words is "one hundred fifty-three billion, one hundred twenty-two million, five hundred ten thousand, three hundred one".

Divisors: 1 3 1901 5703 26849467 80548401 51040836767 153122510301