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2121112032 = 253131725881
BaseRepresentation
bin111111001101101…
…1001100111100000
312110211020122200220
41332123121213200
513321001041112
6550250443040
7103364104044
oct17633314740
95424218626
102121112032
11999348956
124b2433480
1327a5a04a0
141619c4024
15c633798c
hex7e6d99e0

2121112032 has 144 divisors (see below), whose sum is σ = 6370770672. Its totient is φ = 614154240.

The previous prime is 2121112027. The next prime is 2121112043. The reversal of 2121112032 is 2302111212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357732 + ... + 363612.

It is an arithmetic number, because the mean of its divisors is an integer number (44241463).

Almost surely, 22121112032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185385336).

2121112032 is an abundant number, since it is smaller than the sum of its proper divisors (4249658640).

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

2121112032 is a wasteful number, since it uses less digits than its factorization.

2121112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2121112032 is about 46055.5320455643. The cubic root of 2121112032 is about 1284.8562334680.

Adding to 2121112032 its reverse (2302111212), we get a palindrome (4423223244).

The spelling of 2121112032 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 289 312 408 416 442 544 578 624 663 816 867 884 1156 1248 1326 1632 1734 1768 2312 2652 3468 3536 3757 4624 5304 5881 6936 7072 7514 9248 10608 11271 11762 13872 15028 17643 21216 22542 23524 27744 30056 35286 45084 47048 60112 70572 76453 90168 94096 99977 120224 141144 152906 180336 188192 199954 229359 282288 299931 305812 360672 399908 458718 564576 599862 611624 799816 917436 1199724 1223248 1299701 1599632 1699609 1834872 2399448 2446496 2599402 3199264 3399218 3669744 3899103 4798896 5098827 5198804 6798436 7339488 7798206 9597792 10197654 10397608 13596872 15596412 20395308 20795216 22094917 27193744 31192824 40790616 41590432 44189834 54387488 62385648 66284751 81581232 88379668 124771296 132569502 163162464 176759336 265139004 353518672 530278008 707037344 1060556016 2121112032