Search a number
-
+
110421222500100 = 22352835577961557
BaseRepresentation
bin11001000110110101110001…
…101111100010011100000100
3112110222011110211222212020010
4121012311301233202130010
5103433120130430000400
61030502450451510220
732154445554633651
oct3106656157423404
9473864424885203
10110421222500100
1132202417475a76
1210474457bb8370
13497c8a4658c65
141d3a5b68d4c28
15cb7499359450
hex646d71be2704

110421222500100 has 144 divisors (see below), whose sum is σ = 323915159227968. Its totient is φ = 29038660892160.

The previous prime is 110421222500093. The next prime is 110421222500111. The reversal of 110421222500100 is 1005222124011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9888522 + ... + 17850078.

It is an arithmetic number, because the mean of its divisors is an integer number (2249410827972).

Almost surely, 2110421222500100 is an apocalyptic number.

110421222500100 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 110421222500100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161957579613984).

110421222500100 is an abundant number, since it is smaller than the sum of its proper divisors (213493936727868).

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

110421222500100 is a wasteful number, since it uses less digits than its factorization.

110421222500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962214 (or 7962207 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 110421222500100 its reverse (1005222124011), we get a palindrome (111426444624111).

The spelling of 110421222500100 in words is "one hundred ten trillion, four hundred twenty-one billion, two hundred twenty-two million, five hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 557 830 996 1114 1245 1660 1671 2075 2228 2490 2785 3342 4150 4980 5570 6225 6684 8300 8355 11140 12450 13925 16710 24900 27850 33420 41775 46231 55700 83550 92462 138693 167100 184924 231155 277386 462310 554772 693465 924620 1155775 1386930 2311550 2773860 3467325 4623100 6934650 7961557 13869300 15923114 23884671 31846228 39807785 47769342 79615570 95538684 119423355 159231140 199038925 238846710 398077850 477693420 597116775 660809231 796155700 1194233550 1321618462 1982427693 2388467100 2643236924 3304046155 3964855386 4434587249 6608092310 7929710772 8869174498 9912138465 13216184620 13303761747 16520230775 17738348996 19824276930 22172936245 26607523494 33040461550 39648553860 44345872490 49560692325 53215046988 66080923100 66518808735 88691744980 99121384650 110864681225 133037617470 198242769300 221729362450 266075234940 332594043675 368070741667 443458724900 665188087350 736141483334 1104212225001 1330376174700 1472282966668 1840353708335 2208424450002 3680707416670 4416848900004 5521061125005 7361414833340 9201768541675 11042122250010 18403537083350 22084244500020 27605305625025 36807074166700 55210611250050 110421222500100