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11001110002220 = 22513474691191911
BaseRepresentation
bin1010000000010110010101…
…0000001111101000101100
31102221200210021022122002202
42200011211100033220230
52420220233130032340
635221501250441032
72213542522065362
oct240054520175054
942850707278082
1011001110002220
1135615a9886018
121298109593178
1361a5283975c0
142a0656b59632
1514126dd68c15
hexa016540fa2c

11001110002220 has 96 divisors (see below), whose sum is σ = 25414331959296. Its totient is φ = 3974655686400.

The previous prime is 11001110002219. The next prime is 11001110002247. The reversal of 11001110002220 is 2220001110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57228065 + ... + 57419975.

It is an arithmetic number, because the mean of its divisors is an integer number (264732624576).

Almost surely, 211001110002220 is an apocalyptic number.

11001110002220 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 11001110002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707165979648).

11001110002220 is an abundant number, since it is smaller than the sum of its proper divisors (14413221957076).

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

11001110002220 is a wasteful number, since it uses less digits than its factorization.

11001110002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196671 (or 196669 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11001110002220 its reverse (2220001110011), we get a palindrome (13221111112231).

The spelling of 11001110002220 in words is "eleven trillion, one billion, one hundred ten million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 4691 6110 9382 12220 18764 23455 46910 60983 93820 121966 191911 220477 243932 304915 383822 440954 609830 767644 881908 959555 1102385 1219660 1919110 2204770 2494843 2866201 3838220 4409540 4989686 5732402 9019817 9979372 11464804 12474215 14331005 18039634 24948430 28662010 36079268 45099085 49896860 57324020 90198170 117257621 180396340 234515242 469030484 586288105 900254501 1172576210 1800509002 2345152420 3601018004 4501272505 9002545010 11703308513 18005090020 23406617026 42311961547 46813234052 58516542565 84623923094 117033085130 169247846188 211559807735 234066170260 423119615470 550055500111 846239230940 1100111000222 2200222000444 2750277500555 5500555001110 11001110002220