Search a number
-
+
1020422112 = 25337287281
BaseRepresentation
bin111100110100100…
…110011111100000
32122010002210222120
4330310212133200
54042212001422
6245131104240
734200305403
oct7464463740
92563083876
101020422112
11484002266
122458a2080
1313353a788
1499745d3a
155e8b745c
hex3cd267e0

1020422112 has 48 divisors (see below), whose sum is σ = 2751012432. Its totient is φ = 330946560.

The previous prime is 1020422111. The next prime is 1020422131. The reversal of 1020422112 is 2112240201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10204221122 = 2082522573317081088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020422091 and 1020422100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020422111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140089 + ... + 147192.

It is an arithmetic number, because the mean of its divisors is an integer number (57312759).

Almost surely, 21020422112 is an apocalyptic number.

1020422112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020422112 is an abundant number, since it is smaller than the sum of its proper divisors (1730590320).

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

1020422112 is a wasteful number, since it uses less digits than its factorization.

1020422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287331 (or 287323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1020422112 is about 31944.0465814837. The cubic root of 1020422112 is about 1006.7615490780.

Adding to 1020422112 its reverse (2112240201), we get a palindrome (3132662313).

The spelling of 1020422112 in words is "one billion, twenty million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 287281 574562 861843 1149124 1723686 2298248 3447372 4596496 6894744 9192992 10629397 13789488 21258794 27578976 31888191 42517588 63776382 85035176 127552764 170070352 255105528 340140704 510211056 1020422112