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22124100012 = 22372814192237
BaseRepresentation
bin10100100110101100…
…101111100110101100
32010002212101201200120
4110212230233212230
5330302232200022
614055204124540
71412153514210
oct244654574654
963085351616
1022124100012
119423528883
124355396750
132117783151
1410dc446940
15897493d5c
hex526b2f9ac

22124100012 has 96 divisors (see below), whose sum is σ = 59375393280. Its totient is φ = 6280834560.

The previous prime is 22124100007. The next prime is 22124100041. The reversal of 22124100012 is 21000142122.

It is a junction number, because it is equal to n+sod(n) for n = 22124099964 and 22124100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9888958 + ... + 9891194.

It is an arithmetic number, because the mean of its divisors is an integer number (618493680).

Almost surely, 222124100012 is an apocalyptic number.

It is an amenable number.

22124100012 is an abundant number, since it is smaller than the sum of its proper divisors (37251293268).

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

22124100012 is a wasteful number, since it uses less digits than its factorization.

22124100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22124100012 its reverse (21000142122), we get a palindrome (43124242134).

The spelling of 22124100012 in words is "twenty-two billion, one hundred twenty-four million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 281 419 562 838 843 1124 1257 1676 1686 1967 2237 2514 2933 3372 3934 4474 5028 5866 5901 6711 7868 8799 8948 11732 11802 13422 15659 17598 23604 26844 31318 35196 46977 62636 93954 117739 187908 235478 353217 470956 628597 706434 824173 937303 1257194 1412868 1648346 1874606 1885791 2472519 2514388 2811909 3296692 3749212 3771582 4400179 4945038 5623818 6561121 7543164 8800358 9890076 11247636 13122242 13200537 17600716 19683363 26244484 26401074 39366726 52802148 78733452 263382143 526764286 790146429 1053528572 1580292858 1843675001 3160585716 3687350002 5531025003 7374700004 11062050006 22124100012