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11202160120 = 23523139251349
BaseRepresentation
bin10100110111011001…
…10110010111111000
31001220200211200210021
422123230312113320
5140420223110440
65051325100224
7544412534644
oct123354662770
931820750707
1011202160120
114829366778
1222076b7674
131096a89c18
14783a95c24
154586c384a
hex29bb365f8

11202160120 has 128 divisors (see below), whose sum is σ = 26671680000. Its totient is φ = 4226112000.

The previous prime is 11202160091. The next prime is 11202160127. The reversal of 11202160120 is 2106120211.

It is a junction number, because it is equal to n+sod(n) for n = 11202160094 and 11202160103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202160127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32097706 + ... + 32098054.

It is an arithmetic number, because the mean of its divisors is an integer number (208372500).

Almost surely, 211202160120 is an apocalyptic number.

11202160120 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 11202160120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840000).

11202160120 is an abundant number, since it is smaller than the sum of its proper divisors (15469519880).

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

11202160120 is a wasteful number, since it uses less digits than its factorization.

11202160120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11202160120 its reverse (2106120211), we get a palindrome (13308280331).

The spelling of 11202160120 in words is "eleven billion, two hundred two million, one hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 139 184 230 251 278 349 460 502 556 695 698 920 1004 1112 1255 1390 1396 1745 2008 2510 2780 2792 3197 3490 5020 5560 5773 6394 6980 8027 10040 11546 12788 13960 15985 16054 23092 25576 28865 31970 32108 34889 40135 46184 48511 57730 63940 64216 69778 80270 87599 97022 115460 127880 139556 160540 174445 175198 194044 230920 242555 279112 321080 348890 350396 388088 437995 485110 697780 700792 802447 875990 970220 1115753 1395560 1604894 1751980 1940440 2014777 2231506 3209788 3503960 4012235 4029554 4463012 5578765 6419576 8024470 8059108 8926024 10073885 11157530 12176261 16048940 16118216 20147770 22315060 24352522 32097880 40295540 44630120 48705044 60881305 80591080 97410088 121762610 243525220 280054003 487050440 560108006 1120216012 1400270015 2240432024 2800540030 5601080060 11202160120