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10001112220 = 22511212133407
BaseRepresentation
bin10010101000001110…
…01101110010011100
3221210222212010210201
421110013031302130
5130440241042340
64332222313244
7502560023401
oct112407156234
927728763721
1010001112220
114272404700
121b31428824
13c34cb97a8
146ac3722a8
153d802c79a
hex2541cdc9c

10001112220 has 72 divisors (see below), whose sum is σ = 23111024832. Its totient is φ = 3632703360.

The previous prime is 10001112217. The next prime is 10001112227. The reversal of 10001112220 is 2221110001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001112197 and 10001112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001112227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2933757 + ... + 2937163.

It is an arithmetic number, because the mean of its divisors is an integer number (320986456).

Almost surely, 210001112220 is an apocalyptic number.

10001112220 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 10001112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11555512416).

10001112220 is an abundant number, since it is smaller than the sum of its proper divisors (13109912612).

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

10001112220 is a wasteful number, since it uses less digits than its factorization.

10001112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001112220 its reverse (2221110001), we get a palindrome (12222222221).

It can be divided in two parts, 10001 and 112220, that added together give a palindrome (122221).

The spelling of 10001112220 in words is "ten billion, one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1213 2420 2426 3407 4852 6065 6814 12130 13343 13628 17035 24260 26686 34070 37477 53372 66715 68140 74954 133430 146773 149908 187385 266860 293546 374770 412247 587092 733865 749540 824494 1467730 1648988 2061235 2935460 4122470 4132691 8244940 8265382 16530764 20663455 41326910 45459601 82653820 90919202 181838404 227298005 454596010 500055611 909192020 1000111222 2000222444 2500278055 5000556110 10001112220