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22210012102122 = 232131013832453651
BaseRepresentation
bin1010000110011001010111…
…11000011011110111101010
32220122020220221010112020100
411003030223320123313222
510402342101044231442
6115123045543210230
74451422542652035
oct503145370336752
986566827115210
1022210012102122
1170932388aa589
1225a8548146976
13c5151a201050
1456ad827c201c
15287b0028684c
hex14332be1bdea

22210012102122 has 96 divisors (see below), whose sum is σ = 52473134278656. Its totient is φ = 6748518960000.

The previous prime is 22210012102099. The next prime is 22210012102151. The reversal of 22210012102122 is 22120121001222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22210012102095 and 22210012102104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7824997 + ... + 10278647.

It is an arithmetic number, because the mean of its divisors is an integer number (546595148736).

Almost surely, 222210012102122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22210012102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26236567139328).

22210012102122 is an abundant number, since it is smaller than the sum of its proper divisors (30263122176534).

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

22210012102122 is a wasteful number, since it uses less digits than its factorization.

22210012102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454156 (or 2454153 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22210012102122 its reverse (22120121001222), we get a palindrome (44330133103344).

The spelling of 22210012102122 in words is "twenty-two trillion, two hundred ten billion, twelve million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 383 606 766 909 1149 1313 1818 2298 2626 3447 3939 4979 6894 7878 9958 11817 14937 23634 29874 38683 44811 77366 89622 116049 232098 348147 502879 696294 1005758 1508637 2453651 3017274 4525911 4907302 7360953 9051822 14721906 22082859 31897463 44165718 63794926 95692389 191384778 247818751 287077167 495637502 574154334 743456253 939748333 1486912506 1879496666 2230368759 2819244999 3221643763 4460737518 5638489998 6443287526 8457734997 9664931289 12216728329 16915469994 19329862578 24433456658 28994793867 36650184987 57989587734 73300369974 94914581633 109950554961 189829163266 219901109922 284743744899 569487489798 854231234697 1233889561229 1708462469394 2467779122458 3701668683687 7403337367374 11105006051061 22210012102122