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1022001021 = 32232972213
BaseRepresentation
bin111100111010100…
…111111101111101
32122020002000211200
4330322213331331
54043113013041
6245225010113
734216602546
oct7472477575
92566060750
101022001021
11484990548
12246323939
13133971342
1499a374cd
155eaca1b6
hex3cea7f7d

1022001021 has 36 divisors (see below), whose sum is σ = 1559811708. Its totient is φ = 644700672.

The previous prime is 1022001007. The next prime is 1022001023. The reversal of 1022001021 is 1201002201.

It can be written as a sum of positive squares in 2 ways, for example, as 819963225 + 202037796 = 28635^2 + 14214^2 .

It is not a de Polignac number, because 1022001021 - 210 = 1021999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022000994 and 1022001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022001023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460711 + ... + 462923.

It is an arithmetic number, because the mean of its divisors is an integer number (43328103).

Almost surely, 21022001021 is an apocalyptic number.

It is an amenable number.

1022001021 is a deficient number, since it is larger than the sum of its proper divisors (537810687).

1022001021 is a wasteful number, since it uses less digits than its factorization.

1022001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022001021 is about 31968.7506950147. The cubic root of 1022001021 is about 1007.2805387837.

Adding to 1022001021 its reverse (1201002201), we get a palindrome (2223003222).

The spelling of 1022001021 in words is "one billion, twenty-two million, one thousand, twenty-one".

Divisors: 1 3 9 23 69 97 207 291 529 873 1587 2213 2231 4761 6639 6693 19917 20079 50899 51313 152697 153939 214661 458091 461817 643983 1170677 1931949 3512031 4937203 10536093 14811609 44434827 113555669 340667007 1022001021