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11202230016 = 2835180077
BaseRepresentation
bin10100110111011010…
…00111011100000000
31001220200222020200000
422123231013130000
5140420232330031
65051330400000
7544413245505
oct123355073400
931820866600
1011202230016
11482940423a
122207730000
131096ab2993
14783ab34ac
154586d93e6
hex29bb47700

11202230016 has 108 divisors (see below), whose sum is σ = 33495228312. Its totient is φ = 3734055936.

The previous prime is 11202229999. The next prime is 11202230047. The reversal of 11202230016 is 61003220211.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27831 + ... + 152246.

Almost surely, 211202230016 is an apocalyptic number.

11202230016 is a gapful number since it is divisible by the number (16) 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 11202230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747614156).

11202230016 is an abundant number, since it is smaller than the sum of its proper divisors (22292998296).

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

11202230016 is an frugal number, since it uses more digits than its factorization.

11202230016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180108 (or 180082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11202230016 its reverse (61003220211), we get a palindrome (72205450227).

The spelling of 11202230016 in words is "eleven billion, two hundred two million, two hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 180077 360154 540231 720308 1080462 1440616 1620693 2160924 2881232 3241386 4321848 4862079 5762464 6482772 8643696 9724158 11524928 12965544 14586237 17287392 19448316 23049856 25931088 29172474 34574784 38896632 43758711 46099712 51862176 58344948 69149568 77793264 87517422 103724352 116689896 138299136 155586528 175034844 207448704 233379792 311173056 350069688 414897408 466759584 622346112 700139376 933519168 1244692224 1400278752 1867038336 2800557504 3734076672 5601115008 11202230016