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1022112021 = 372431011601
BaseRepresentation
bin111100111011000…
…011000100010101
32122020021200002210
4330323003010111
54043130041041
6245231224033
734220544300
oct7473030425
92566250083
101022112021
11484a56987
12246378019
131339aca18
1499a65b37
155eaed016
hex3cec3115

1022112021 has 48 divisors (see below), whose sum is σ = 1639268928. Its totient is φ = 564480000.

The previous prime is 1022111999. The next prime is 1022112023. The reversal of 1022112021 is 1202112201.

1022112021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1022112021 - 218 = 1021849877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022111988 and 1022112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022112023) 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, 637621 + ... + 639221.

It is an arithmetic number, because the mean of its divisors is an integer number (34151436).

Almost surely, 21022112021 is an apocalyptic number.

It is an amenable number.

1022112021 is a deficient number, since it is larger than the sum of its proper divisors (617156907).

1022112021 is a wasteful number, since it uses less digits than its factorization.

1022112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1022112021 is about 31970.4867182219. The cubic root of 1022112021 is about 1007.3170045307.

Adding to 1022112021 its reverse (1202112201), we get a palindrome (2224224222).

The spelling of 1022112021 in words is "one billion, twenty-two million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 7 21 43 49 101 129 147 301 303 707 903 1601 2107 2121 4343 4803 4949 6321 11207 13029 14847 30401 33621 68843 78449 91203 161701 206529 212807 235347 481901 485103 638421 1131907 1445703 3373307 3395721 6953143 7923349 10119921 20859429 23770047 48672001 146016003 340704007 1022112021