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11213023000 = 235379141937
BaseRepresentation
bin10100111000101100…
…10010011100011000
31001221110021120212011
422130112102130120
5140431013214000
65052353555304
7544604060104
oct123426223430
931843246764
1011213023000
114834506163
12220b275b34
1310990c146a
147852c2904
1545961c2ba
hex29c592718

11213023000 has 64 divisors (see below), whose sum is σ = 26570793600. Its totient is φ = 4428403200.

The previous prime is 11213022973. The next prime is 11213023007. The reversal of 11213023000 is 32031211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213023007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8032 + ... + 149968.

It is an arithmetic number, because the mean of its divisors is an integer number (415168650).

Almost surely, 211213023000 is an apocalyptic number.

11213023000 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 11213023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285396800).

11213023000 is an abundant number, since it is smaller than the sum of its proper divisors (15357770600).

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

11213023000 is a wasteful number, since it uses less digits than its factorization.

11213023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142037 (or 142023 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11213023000 its reverse (32031211), we get a palindrome (11245054211).

It can be divided in two parts, 1121 and 3023000, that added together give a square (3024121 = 17392).

The spelling of 11213023000 in words is "eleven billion, two hundred thirteen million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 3160 3950 7900 9875 15800 19750 39500 79000 141937 283874 567748 709685 1135496 1419370 2838740 3548425 5677480 7096850 11213023 14193700 17742125 22426046 28387400 35484250 44852092 56065115 70968500 89704184 112130230 141937000 224260460 280325575 448520920 560651150 1121302300 1401627875 2242604600 2803255750 5606511500 11213023000