Search a number
-
+
101002131328 = 277112725593
BaseRepresentation
bin101111000010000110…
…0100011011110000000
3100122201000022212222211
41132010030203132000
53123323021200303
6114222202111504
710203632644120
oct1360414433600
9318630285884
10101002131328
113992008520a
12176a94ab594
1396a8314a67
144c621a4c80
1529621dc66d
hex1784323780

101002131328 has 32 divisors (see below), whose sum is σ = 229960211760. Its totient is φ = 43286627328.

The previous prime is 101002131317. The next prime is 101002131359. The reversal of 101002131328 is 823131200101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 101002131299 and 101002131308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56361901 + ... + 56363692.

Almost surely, 2101002131328 is an apocalyptic number.

It is an amenable number.

101002131328 is an abundant number, since it is smaller than the sum of its proper divisors (128958080432).

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

101002131328 is an equidigital number, since it uses as much as digits as its factorization.

101002131328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112725614 (or 112725602 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101002131328 its reverse (823131200101), we get a palindrome (924133331429).

The spelling of 101002131328 in words is "one hundred one billion, two million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 112725593 225451186 450902372 789079151 901804744 1578158302 1803609488 3156316604 3607218976 6312633208 7214437952 12625266416 14428875904 25250532832 50501065664 101002131328