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21134134112 = 2571321929383
BaseRepresentation
bin10011101011101100…
…010100101101100000
32000112212121020202212
4103223230110231200
5321240314242422
613413041501252
71345503114230
oct235354245540
960485536685
1021134134112
118a65738843
124119941828
131cba64a200
141046b8bcc0
1583a5e59e2
hex4ebb14b60

21134134112 has 144 divisors (see below), whose sum is σ = 54202901760. Its totient is φ = 7920446976.

The previous prime is 21134134097. The next prime is 21134134123. The reversal of 21134134112 is 21143143112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704573 + ... + 733955.

It is an arithmetic number, because the mean of its divisors is an integer number (376409040).

Almost surely, 221134134112 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 21134134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27101450880).

21134134112 is an abundant number, since it is smaller than the sum of its proper divisors (33068767648).

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

21134134112 is a wasteful number, since it uses less digits than its factorization.

21134134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29445 (or 29424 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

Adding to 21134134112 its reverse (21143143112), we get a palindrome (42277277224).

The spelling of 21134134112 in words is "twenty-one billion, one hundred thirty-four million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 169 182 208 224 247 266 304 338 364 416 494 532 608 676 728 988 1064 1183 1352 1456 1729 1976 2128 2366 2704 2912 3211 3458 3952 4256 4732 5408 6422 6916 7904 9464 12844 13832 18928 22477 25688 27664 29383 37856 44954 51376 55328 58766 89908 102752 117532 179816 205681 235064 359632 381979 411362 470128 558277 719264 763958 822724 940256 1116554 1527916 1645448 2233108 2673853 3055832 3290896 3907939 4466216 4965727 5347706 6111664 6581792 7257601 7815878 8932432 9931454 10695412 12223328 14515202 15631756 17864864 19862908 21390824 29030404 31263512 34760089 39725816 42781648 50803207 58060808 62527024 69520178 79451632 85563296 94348813 101606414 116121616 125054048 139040356 158903264 188697626 203212828 232243232 278080712 377395252 406425656 556161424 660441691 754790504 812851312 1112322848 1320883382 1509581008 1625702624 2641766764 3019162016 5283533528 10567067056 21134134112