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11003220020 = 22513294135593
BaseRepresentation
bin10100011111101011…
…11101000000110100
31001101211111111021102
422033311331000310
5140013311020040
65015501105232
7536445553442
oct121765750064
931354444242
1011003220020
114737038071
122170b58218
1310647b41a0
147654abb92
15445ec8515
hex28fd7d034

11003220020 has 96 divisors (see below), whose sum is σ = 26370882720. Its totient is φ = 3826851840.

The previous prime is 11003220001. The next prime is 11003220031. The reversal of 11003220020 is 2002230011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 9595769764 + 1407450256 = 97958^2 + 37516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11003219983 and 11003220010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291344 + ... + 326936.

It is an arithmetic number, because the mean of its divisors is an integer number (274696695).

Almost surely, 211003220020 is an apocalyptic number.

11003220020 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 11003220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185441360).

11003220020 is an abundant number, since it is smaller than the sum of its proper divisors (15367662700).

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

11003220020 is a wasteful number, since it uses less digits than its factorization.

11003220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35685 (or 35683 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11003220020 its reverse (2002230011), we get a palindrome (13005450031).

Subtracting from 11003220020 its reverse (2002230011), we obtain a palindrome (9000990009).

The spelling of 11003220020 in words is "eleven billion, three million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 41 52 58 65 82 116 130 145 164 205 260 290 377 410 533 580 754 820 1066 1189 1508 1885 2132 2378 2665 3770 4756 5330 5945 7540 10660 11890 15457 23780 30914 35593 61828 71186 77285 142372 154570 177965 309140 355930 462709 711860 925418 1032197 1459313 1850836 2064394 2313545 2918626 4128788 4627090 5160985 5837252 7296565 9254180 10321970 13418561 14593130 18971069 20643940 26837122 29186260 37942138 42320077 53674244 67092805 75884276 84640154 94855345 134185610 169280308 189710690 211600385 268371220 379421380 423200770 550161001 846401540 1100322002 2200644004 2750805005 5501610010 11003220020