Search a number
-
+
1111021020 = 2232546713217
BaseRepresentation
bin100001000111000…
…1101010111011100
32212102120201022200
41002032031113130
54233410133040
6302125011500
736350344224
oct10216152734
92772521280
101111021020
1152016259a
122700b3b90
1314923c1b5
14a77ab084
1567811630
hex4238d5dc

1111021020 has 72 divisors (see below), whose sum is σ = 3377569104. Its totient is φ = 295615488.

The previous prime is 1111020983. The next prime is 1111021099. The reversal of 1111021020 is 201201111.

It is a happy number.

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 = 1111020993 and 1111021011.

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, 77452 + ... + 90668.

It is an arithmetic number, because the mean of its divisors is an integer number (46910682).

Almost surely, 21111021020 is an apocalyptic number.

1111021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688784552).

1111021020 is an abundant number, since it is smaller than the sum of its proper divisors (2266548084).

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

1111021020 is a wasteful number, since it uses less digits than its factorization.

1111021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13699 (or 13694 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1111021020 is about 33331.9819392727. The cubic root of 1111021020 is about 1035.7161744918.

Adding to 1111021020 its reverse (201201111), we get a palindrome (1312222131).

The spelling of 1111021020 in words is "one billion, one hundred eleven million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 467 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 13217 14010 16812 21015 26434 28020 39651 42030 52868 66085 79302 84060 118953 132170 158604 198255 237906 264340 396510 475812 594765 793020 1189530 2379060 6172339 12344678 18517017 24689356 30861695 37034034 55551051 61723390 74068068 92585085 111102102 123446780 185170170 222204204 277755255 370340340 555510510 1111021020