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11213230100 = 22523116992129
BaseRepresentation
bin10100111000101110…
…00101000000010100
31001221110200002221112
422130113011000110
5140431041330400
65052402234152
7544605611642
oct123427050024
931843602845
1011213230100
114834637816
12220b355958
1310991647c7
14785338192
1545965d835
hex29c5c5014

11213230100 has 72 divisors (see below), whose sum is σ = 25144224000. Its totient is φ = 4336012800.

The previous prime is 11213230079. The next prime is 11213230123. The reversal of 11213230100 is 103231211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5265836 + ... + 5267964.

Almost surely, 211213230100 is an apocalyptic number.

11213230100 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 11213230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572112000).

11213230100 is an abundant number, since it is smaller than the sum of its proper divisors (13930993900).

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

11213230100 is a wasteful number, since it uses less digits than its factorization.

11213230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11213230100 its reverse (103231211), we get a palindrome (11316461311).

The spelling of 11213230100 in words is "eleven billion, two hundred thirteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 1699 2129 3100 3398 4258 6796 8495 8516 10645 16990 21290 33980 42475 42580 52669 53225 65999 84950 105338 106450 131998 169900 210676 212900 263345 263996 329995 526690 659990 1053380 1316725 1319980 1649975 2633450 3299950 3617171 5266900 6599900 7234342 14468684 18085855 36171710 72343420 90429275 112132301 180858550 224264602 361717100 448529204 560661505 1121323010 2242646020 2803307525 5606615050 11213230100