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11222112020 = 22572910127367
BaseRepresentation
bin10100111001110001…
…11101011100010100
31001222002101100122112
422130320331130110
5140440330041040
65053320450152
7545044243520
oct123470753424
931862340575
1011222112020
114839653949
122212319958
13109ac54492
147865aad80
1545a315365
hex29ce3d714

11222112020 has 96 divisors (see below), whose sum is σ = 28138682880. Its totient is φ = 3677990400.

The previous prime is 11222111993. The next prime is 11222112023. The reversal of 11222112020 is 2021122211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11222111986 and 11222112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222112023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396377 + ... + 423743.

It is an arithmetic number, because the mean of its divisors is an integer number (293111280).

Almost surely, 211222112020 is an apocalyptic number.

11222112020 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 11222112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069341440).

11222112020 is an abundant number, since it is smaller than the sum of its proper divisors (16916570860).

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

11222112020 is a wasteful number, since it uses less digits than its factorization.

11222112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27513 (or 27511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11222112020 its reverse (2021122211), we get a palindrome (13243234231).

The spelling of 11222112020 in words is "eleven billion, two hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 101 116 140 145 202 203 290 404 406 505 580 707 812 1010 1015 1414 2020 2030 2828 2929 3535 4060 5858 7070 11716 14140 14645 20503 27367 29290 41006 54734 58580 82012 102515 109468 136835 191569 205030 273670 383138 410060 547340 766276 793643 957845 1587286 1915690 2764067 3174572 3831380 3968215 5528134 5555501 7936430 11056268 11111002 13820335 15872860 19348469 22222004 27640670 27777505 38696938 55281340 55555010 77393876 80157943 96742345 111110020 160315886 193484690 320631772 386969380 400789715 561105601 801579430 1122211202 1603158860 2244422404 2805528005 5611056010 11222112020