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21120214124310 = 2357971744359441
BaseRepresentation
bin1001100110101011011101…
…10111000100011100010110
32202210001222000222011222020
410303111232313010130112
510232013144303434220
6112530254210314010
74306612410665310
oct463255667043426
982701860864866
1021120214124310
11680303a2a7894
1224512a4b88906
13ba2820c27ac2
1453031c2287b0
152695ba29c040
hex13356edc4716

21120214124310 has 128 divisors (see below), whose sum is σ = 58531283887104. Its totient is φ = 4777355427840.

The previous prime is 21120214124279. The next prime is 21120214124323. The reversal of 21120214124310 is 1342141202112.

It is a super-2 number, since 2×211202141243102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355284190 + ... + 355343630.

It is an arithmetic number, because the mean of its divisors is an integer number (457275655368).

Almost surely, 221120214124310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120214124310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29265641943552).

21120214124310 is an abundant number, since it is smaller than the sum of its proper divisors (37411069762794).

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

21120214124310 is a wasteful number, since it uses less digits than its factorization.

21120214124310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76998.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21120214124310 its reverse (1342141202112), we get a palindrome (22462355326422).

The spelling of 21120214124310 in words is "twenty-one trillion, one hundred twenty billion, two hundred fourteen million, one hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 582 679 970 1358 1455 2037 2910 3395 4074 6790 10185 17443 20370 34886 52329 59441 87215 104658 118882 122101 174430 178323 244202 261645 297205 356646 366303 416087 523290 594410 610505 732606 832174 891615 1221010 1248261 1691971 1783230 1831515 2080435 2496522 3383942 3663030 4160870 5075913 5765777 6241305 8459855 10151826 11531554 11843797 12482610 16919710 17297331 23687594 25379565 28828885 34594662 35531391 40360439 50759130 57657770 59218985 71062782 80720878 86486655 118437970 121081317 172973310 177656955 201802195 242162634 355313910 403604390 605406585 1036829363 1210813170 2073658726 3110488089 5184146815 6220976178 7257805541 10368293630 14515611082 15552440445 21773416623 31104880890 36289027705 43546833246 72578055410 100572448211 108867083115 201144896422 217734166230 301717344633 502862241055 603434689266 704007137477 1005724482110 1408014274954 1508586723165 2112021412431 3017173446330 3520035687385 4224042824862 7040071374770 10560107062155 21120214124310