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11202242142 = 2371338353569
BaseRepresentation
bin10100110111011010…
…01010011001011110
31001220200222212022010
422123231022121132
5140420233222032
65051330532050
7544413326040
oct123355123136
931820885263
1011202242142
114829412363
122207737026
131096ab8360
14783ab7a90
154586dcccc
hex29bb4a65e

11202242142 has 64 divisors (see below), whose sum is σ = 27647262720. Its totient is φ = 2946668544.

The previous prime is 11202242059. The next prime is 11202242147. The reversal of 11202242142 is 24124220211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202242147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182334 + ... + 235902.

It is an arithmetic number, because the mean of its divisors is an integer number (431988480).

Almost surely, 211202242142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202242142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823631360).

11202242142 is an abundant number, since it is smaller than the sum of its proper divisors (16445020578).

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

11202242142 is a wasteful number, since it uses less digits than its factorization.

11202242142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53977.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11202242142 its reverse (24124220211), we get a palindrome (35326462353).

The spelling of 11202242142 in words is "eleven billion, two hundred two million, two hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 383 546 766 1149 2298 2681 4979 5362 8043 9958 14937 16086 29874 34853 53569 69706 104559 107138 160707 209118 321414 374983 696397 749966 1124949 1392794 2089191 2249898 4178382 4874779 9749558 14624337 20516927 29248674 41033854 61550781 123101562 143618489 266720051 287236978 430855467 533440102 800160153 861710934 1600320306 1867040357 3734080714 5601121071 11202242142