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2181172136 = 2311213267199
BaseRepresentation
bin1000001000000010…
…0000101110101000
312122000021000200012
42002000200232220
513431340002021
61000234031052
7105023441303
oct20200405650
95560230605
102181172136
11a1a23aa00
1250a578488
13289b6b900
14169979b3a
15cb74d35b
hex82020ba8

2181172136 has 144 divisors (see below), whose sum is σ = 4965156000. Its totient is φ = 896987520.

The previous prime is 2181172129. The next prime is 2181172141. The reversal of 2181172136 is 6312711812.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10960565 + ... + 10960763.

It is an arithmetic number, because the mean of its divisors is an integer number (34480250).

Almost surely, 22181172136 is an apocalyptic number.

2181172136 is a gapful number since it is divisible by the number (26) 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 2181172136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482578000).

2181172136 is an abundant number, since it is smaller than the sum of its proper divisors (2783983864).

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

2181172136 is a wasteful number, since it uses less digits than its factorization.

2181172136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 292 counting only the distinct ones).

The product of its digits is 4032, while the sum is 32.

The square root of 2181172136 is about 46703.0206303618. The cubic root of 2181172136 is about 1296.8706062200.

Adding to 2181172136 its reverse (6312711812), we get a palindrome (8493883948).

The spelling of 2181172136 in words is "two billion, one hundred eighty-one million, one hundred seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 121 134 143 169 199 242 268 286 338 398 484 536 572 676 737 796 871 968 1144 1352 1474 1573 1592 1742 1859 2189 2587 2948 3146 3484 3718 4378 5174 5896 6292 6968 7436 8107 8756 9581 10348 11323 12584 13333 14872 16214 17512 19162 20449 20696 22646 24079 26666 28457 32428 33631 38324 40898 45292 48158 53332 56914 64856 67262 76648 81796 90584 96316 105391 106664 113828 124553 134524 146663 163592 173329 192632 210782 227656 249106 269048 293326 313027 346658 369941 421564 498212 586652 626054 693316 739882 843128 996424 1173304 1252108 1370083 1386632 1479764 1613293 1906619 2253277 2504216 2740166 2959528 3226586 3813238 4069351 4506554 5480332 6453172 7626476 8138702 9013108 10960664 12906344 15252952 16277404 18026216 20972809 24786047 32554808 41945618 49572094 83891236 99144188 167782472 198288376 272646517 545293034 1090586068 2181172136