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1141223100 = 2235218121017
BaseRepresentation
bin100010000000101…
…1010111010111100
32221112102010210020
41010001122322330
54314123114400
6305124212140
740165144023
oct10401327274
92845363706
101141223100
11536210896
1227a23a050
13152585154
14ab7cd8ba
156a2ca2a0
hex4405aebc

1141223100 has 72 divisors (see below), whose sum is σ = 3320339568. Its totient is φ = 302630400.

The previous prime is 1141223099. The next prime is 1141223113. The reversal of 1141223100 is 13221411.

It is a super-2 number, since 2×11412231002 = 2604780327947220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1141223100.

It is a congruent number.

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, 43792 + ... + 64808.

Almost surely, 21141223100 is an apocalyptic number.

1141223100 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 1141223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660169784).

1141223100 is an abundant number, since it is smaller than the sum of its proper divisors (2179116468).

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

1141223100 is a wasteful number, since it uses less digits than its factorization.

1141223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21215 (or 21208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1141223100 is about 33781.9937244681. The cubic root of 1141223100 is about 1045.0173909486.

Adding to 1141223100 its reverse (13221411), we get a palindrome (1154444511).

The spelling of 1141223100 in words is "one billion, one hundred forty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 724 905 1086 1810 2172 2715 3620 4525 5430 9050 10860 13575 18100 21017 27150 42034 54300 63051 84068 105085 126102 210170 252204 315255 420340 525425 630510 1050850 1261020 1576275 2101700 3152550 3804077 6305100 7608154 11412231 15216308 19020385 22824462 38040770 45648924 57061155 76081540 95101925 114122310 190203850 228244620 285305775 380407700 570611550 1141223100