Search a number
-
+
11020331100 = 2235238994433
BaseRepresentation
bin10100100001101110…
…01110100001011100
31001110000200211021010
422100313032201130
5140032201043400
65021311535220
7540044161122
oct122067164134
931400624233
1011020331100
114745764959
12217682a510
1310681c569c
14767883912
15447758450
hex290dce85c

11020331100 has 72 divisors (see below), whose sum is σ = 31967797680. Its totient is φ = 2931169280.

The previous prime is 11020331087. The next prime is 11020331123. The reversal of 11020331100 is 113302011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 69484 + ... + 163916.

It is an arithmetic number, because the mean of its divisors is an integer number (443997190).

Almost surely, 211020331100 is an apocalyptic number.

11020331100 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 11020331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983898840).

11020331100 is an abundant number, since it is smaller than the sum of its proper divisors (20947466580).

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

11020331100 is a wasteful number, since it uses less digits than its factorization.

11020331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94839 (or 94832 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11020331100 its reverse (113302011), we get a palindrome (11133633111).

The spelling of 11020331100 in words is "eleven billion, twenty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 389 778 1167 1556 1945 2334 3890 4668 5835 7780 9725 11670 19450 23340 29175 38900 58350 94433 116700 188866 283299 377732 472165 566598 944330 1133196 1416495 1888660 2360825 2832990 4721650 5665980 7082475 9443300 14164950 28329900 36734437 73468874 110203311 146937748 183672185 220406622 367344370 440813244 551016555 734688740 918360925 1102033110 1836721850 2204066220 2755082775 3673443700 5510165550 11020331100