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11200231242 = 2323143577809
BaseRepresentation
bin10100110111001010…
…11111011101001010
31001220120012200212100
422123211133131022
5140414224344432
65051215454230
7544360252254
oct123345373512
931816180770
1011200231242
114828269562
122206b27376
131096562c85
14783712cd4
1545844207c
hex29b95f74a

11200231242 has 96 divisors (see below), whose sum is σ = 25708700160. Its totient is φ = 3518484480.

The previous prime is 11200231181. The next prime is 11200231243. The reversal of 11200231242 is 24213200211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11200231243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13844134 + ... + 13844942.

It is an arithmetic number, because the mean of its divisors is an integer number (267798960).

Almost surely, 211200231242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200231242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854350080).

11200231242 is an abundant number, since it is smaller than the sum of its proper divisors (14508468918).

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

11200231242 is a wasteful number, since it uses less digits than its factorization.

11200231242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11200231242 its reverse (24213200211), we get a palindrome (35413431453).

The spelling of 11200231242 in words is "eleven billion, two hundred million, two hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 577 774 809 1154 1333 1618 1731 2427 2666 3462 3999 4854 5193 7281 7998 10386 11997 14562 17887 23994 24811 25079 34787 35774 49622 50158 53661 69574 74433 75237 104361 107322 148866 150474 160983 208722 223299 225711 313083 321966 446598 451422 466793 626166 769141 933586 1078397 1400379 1538282 2156794 2307423 2800758 3235191 4201137 4614846 6470382 6922269 8402274 9705573 13844538 14470583 19411146 20072099 28941166 40144198 43411749 60216297 86823498 120432594 130235247 180648891 260470494 361297782 622235069 1244470138 1866705207 3733410414 5600115621 11200231242