Search a number
-
+
10121411144 = 2313617157733
BaseRepresentation
bin10010110110100100…
…00111101001001000
3222010101012221220102
421123102013221020
5131212040124034
64352200544532
7505550401205
oct113322075110
928111187812
1010121411144
1143242aaaa9
121b65782148
13c53bb97a0
146c0328cac
153e389197e
hex25b487a48

10121411144 has 32 divisors (see below), whose sum is σ = 20470718520. Its totient is φ = 4663819776.

The previous prime is 10121411129. The next prime is 10121411197. The reversal of 10121411144 is 44111412101.

It can be written as a sum of positive squares in 4 ways, for example, as 3154170244 + 6967240900 = 56162^2 + 83470^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14699 + ... + 143034.

Almost surely, 210121411144 is an apocalyptic number.

It is an amenable number.

10121411144 is an abundant number, since it is smaller than the sum of its proper divisors (10349307376).

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

10121411144 is a wasteful number, since it uses less digits than its factorization.

10121411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158369 (or 158365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10121411144 its reverse (44111412101), we get a palindrome (54232823245).

The spelling of 10121411144 in words is "ten billion, one hundred twenty-one million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 617 1234 2468 4936 8021 16042 32084 64168 157733 315466 630932 1261864 2050529 4101058 8202116 16404232 97321261 194642522 389285044 778570088 1265176393 2530352786 5060705572 10121411144