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22103111110212 = 223211592933228781
BaseRepresentation
bin1010000011010010010000…
…00101100000111001000100
32220021000222211001110202200
411001221020011200321010
510344114132421011322
6115002010140034500
74440616461345426
oct501511005407104
986230884043680
1022103111110212
117051970aa4090
12258b893232a30
13c44411a72852
14565b21018816
15284e4528d8ac
hex141a48160e44

22103111110212 has 144 divisors (see below), whose sum is σ = 62195640212160. Its totient is φ = 6561914169600.

The previous prime is 22103111110207. The next prime is 22103111110219. The reversal of 22103111110212 is 21201111130122.

It is a happy number.

22103111110212 is a `hidden beast` number, since 22 + 10 + 311 + 1 + 110 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22103111110219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5231262 + ... + 8460042.

It is an arithmetic number, because the mean of its divisors is an integer number (431914168140).

Almost surely, 222103111110212 is an apocalyptic number.

22103111110212 is a gapful number since it is divisible by the number (22) 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 22103111110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31097820106080).

22103111110212 is an abundant number, since it is smaller than the sum of its proper divisors (40092529101948).

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

22103111110212 is a wasteful number, since it uses less digits than its factorization.

22103111110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229154 (or 3229149 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 22103111110212 its reverse (21201111130122), we get a palindrome (43304222240334).

The spelling of 22103111110212 in words is "twenty-two trillion, one hundred three billion, one hundred eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 293 354 396 531 586 649 708 879 1062 1172 1298 1758 1947 2124 2596 2637 3223 3516 3894 5274 5841 6446 7788 9669 10548 11682 12892 17287 19338 23364 29007 34574 38676 51861 58014 69148 103722 116028 155583 190157 207444 311166 380314 570471 622332 760628 1140942 1711413 2281884 3228781 3422826 6457562 6845652 9686343 12915124 19372686 29059029 35516591 38745372 58118058 71033182 106549773 116236116 142066364 190498079 213099546 319649319 380996158 426199092 571494237 639298638 761992316 946032833 1142988474 1278597276 1714482711 1892065666 2095478869 2285976948 2838098499 3428965422 3784131332 4190957738 5676196998 6286436607 6857930844 8381915476 8514295497 10406361163 11352393996 12572873214 17028590994 18859309821 20812722326 25145746428 31219083489 34057181988 37718619642 41625444652 55815937147 62438166978 75437239284 93657250467 111631874294 124876333956 167447811441 187314500934 223263748588 334895622882 374629001868 502343434323 613975308617 669791245764 1004686868646 1227950617234 1841925925851 2009373737292 2455901234468 3683851851702 5525777777553 7367703703404 11051555555106 22103111110212