Search a number
-
+
1022146131 = 31787722853
BaseRepresentation
bin111100111011001…
…011011001010011
32122020100101220010
4330323023121103
54043132134011
6245232050003
734221045606
oct7473133123
92566311803
101022146131
11484a7a576
12246393903
131339c23c6
1499a7433d
155eb081a6
hex3cecb653

1022146131 has 16 divisors (see below), whose sum is σ = 1444738464. Its totient is φ = 640587264.

The previous prime is 1022146087. The next prime is 1022146141. The reversal of 1022146131 is 1316412201.

It is not a de Polignac number, because 1022146131 - 26 = 1022146067 is a prime.

It is a super-2 number, since 2×10221461312 = 2089565426236538322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022146098 and 1022146107.

It is not an unprimeable number, because it can be changed into a prime (1022146141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33301 + ... + 56153.

It is an arithmetic number, because the mean of its divisors is an integer number (90296154).

Almost surely, 21022146131 is an apocalyptic number.

1022146131 is a deficient number, since it is larger than the sum of its proper divisors (422592333).

1022146131 is a wasteful number, since it uses less digits than its factorization.

1022146131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23750.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1022146131 is about 31971.0201745268. The cubic root of 1022146131 is about 1007.3282098260.

Adding to 1022146131 its reverse (1316412201), we get a palindrome (2338558332).

It can be divided in two parts, 102214 and 6131, that added together give a triangular number (108345 = T465).

The spelling of 1022146131 in words is "one billion, twenty-two million, one hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 3 17 51 877 2631 14909 22853 44727 68559 388501 1165503 20042081 60126243 340715377 1022146131