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11230200100 = 22527101158843
BaseRepresentation
bin10100111010101111…
…10100000100100100
31001222122121021102001
422131113310010210
5140444412400400
65054210055044
7545203061110
oct123527640444
931878537361
1011230200100
114843178609
122214b7a484
13109c826a22
147876b4740
1545adb1a6a
hex29d5f4124

11230200100 has 72 divisors (see below), whose sum is σ = 28126824768. Its totient is φ = 3812208000.

The previous prime is 11230200073. The next prime is 11230200139. The reversal of 11230200100 is 100203211.

It is a super-2 number, since 2×112302001002 (a number of 21 digits) contains 22 as substring.

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

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, 8722 + ... + 150121.

It is an arithmetic number, because the mean of its divisors is an integer number (390650344).

Almost surely, 211230200100 is an apocalyptic number.

11230200100 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 11230200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063412384).

11230200100 is an abundant number, since it is smaller than the sum of its proper divisors (16896624668).

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

11230200100 is a wasteful number, since it uses less digits than its factorization.

11230200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158965 (or 158958 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11230200100 its reverse (100203211), we get a palindrome (11330403311).

The spelling of 11230200100 in words is "eleven billion, two hundred thirty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 158843 317686 635372 794215 1111901 1588430 2223802 3176860 3971075 4447604 5559505 7942150 11119010 15884300 16043143 22238020 27797525 32086286 55595050 64172572 80215715 111190100 112302001 160431430 224604002 320862860 401078575 449208004 561510005 802157150 1123020010 1604314300 2246040020 2807550025 5615100050 11230200100