Search a number
-
+
1021132021 = 721329167331
BaseRepresentation
bin111100110111010…
…011110011110101
32122011102212210111
4330313103303311
54042402211041
6245154223021
734206323200
oct7467236365
92564385714
101021132021
11484447668
12245b84a71
13133728940
149988c937
155e9a7981
hex3cdd3cf5

1021132021 has 48 divisors (see below), whose sum is σ = 1335277440. Its totient is φ = 773055360.

The previous prime is 1021131961. The next prime is 1021132027. The reversal of 1021132021 is 1202311201.

It is not a de Polignac number, because 1021132021 - 27 = 1021131893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1021131992 and 1021132010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021132027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3084826 + ... + 3085156.

It is an arithmetic number, because the mean of its divisors is an integer number (27818280).

Almost surely, 21021132021 is an apocalyptic number.

It is an amenable number.

1021132021 is a deficient number, since it is larger than the sum of its proper divisors (314145419).

1021132021 is a wasteful number, since it uses less digits than its factorization.

1021132021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1021132021 is about 31955.1564070652. The cubic root of 1021132021 is about 1006.9949634003.

Adding to 1021132021 its reverse (1202311201), we get a palindrome (2223443222).

The spelling of 1021132021 in words is "one billion, twenty-one million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 7 13 29 49 91 167 203 331 377 637 1169 1421 2171 2317 2639 4303 4843 8183 9599 15197 16219 18473 30121 33901 55277 62959 67193 106379 124787 210847 237307 386939 440713 470351 718601 873509 1603033 2708573 3084991 5030207 6114563 11221231 20839429 35211449 78548617 145876003 1021132021