Search a number
-
+
1020011220 = 2232517333337
BaseRepresentation
bin111100110011000…
…010001011010100
32122002022221100100
4330303002023110
54042110324340
6245114214100
734163644434
oct7463021324
92562287310
101020011220
11483851588
12245724330
13133425747
149967a2c4
155e835830
hex3ccc22d4

1020011220 has 72 divisors (see below), whose sum is σ = 3276045864. Its totient is φ = 256002048.

The previous prime is 1020011207. The next prime is 1020011297. The reversal of 1020011220 is 221100201.

It can be written as a sum of positive squares in 4 ways, for example, as 152473104 + 867538116 = 12348^2 + 29454^2 .

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

1020011220 is a modest number, since divided by 11220 gives 1020 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163609 + ... + 169728.

It is an arithmetic number, because the mean of its divisors is an integer number (45500637).

Almost surely, 21020011220 is an apocalyptic number.

1020011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020011220 is an abundant number, since it is smaller than the sum of its proper divisors (2256034644).

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

1020011220 is a wasteful number, since it uses less digits than its factorization.

1020011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333369 (or 333364 counting only the distinct ones).

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

The square root of 1020011220 is about 31937.6145007732. The cubic root of 1020011220 is about 1006.6264004965.

Adding to 1020011220 its reverse (221100201), we get a palindrome (1241111421).

The spelling of 1020011220 in words is "one billion, twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 333337 666674 1000011 1333348 1666685 2000022 3000033 3333370 4000044 5000055 5666729 6000066 6666740 10000110 11333458 12000132 15000165 17000187 20000220 22666916 28333645 30000330 34000374 51000561 56667290 60000660 68000748 85000935 102001122 113334580 170001870 204002244 255002805 340003740 510005610 1020011220