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10222010112204 = 223211315991390121
BaseRepresentation
bin1001010010111111111101…
…0010000001100011001100
31100012012210110102111010200
42110233333102001203030
52314434134042042304
633423532052133500
72103341640224532
oct224577722014314
940165713374120
1010222010112204
1132911482482a0
121191116607290
13591c1542a317
14274a68464152
1512ad70841e39
hex94bff4818cc

10222010112204 has 144 divisors (see below), whose sum is σ = 29145853900800. Its totient is φ = 2992650336000.

The previous prime is 10222010112131. The next prime is 10222010112217. The reversal of 10222010112204 is 40221101022201.

10222010112204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 6658264 + ... + 8048384.

It is an arithmetic number, because the mean of its divisors is an integer number (202401763200).

Almost surely, 210222010112204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222010112204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572926950400).

10222010112204 is an abundant number, since it is smaller than the sum of its proper divisors (18923843788596).

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

10222010112204 is a wasteful number, since it uses less digits than its factorization.

10222010112204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390772 (or 1390767 counting only the distinct ones).

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

Adding to 10222010112204 its reverse (40221101022201), we get a palindrome (50443111134405).

The spelling of 10222010112204 in words is "ten trillion, two hundred twenty-two billion, ten million, one hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 599 682 1023 1116 1198 1364 1797 2046 2396 3069 3594 4092 5391 6138 6589 7188 10782 12276 13178 18569 19767 21564 26356 37138 39534 55707 59301 74276 79068 111414 118602 167121 204259 222828 237204 334242 408518 612777 668484 817036 1225554 1390121 1838331 2451108 2780242 3676662 4170363 5560484 7353324 8340726 12511089 15291331 16681452 25022178 30582662 43093751 45873993 50044356 61165324 86187502 91747986 129281253 137621979 172375004 183495972 258562506 275243958 387843759 474031261 517125012 550487916 775687518 832682479 948062522 1422093783 1551375036 1665364958 1896125044 2498047437 2844187566 3330729916 4266281349 4996094874 5688375132 7494142311 8532562698 9159507269 9992189748 14988284622 17065125396 18319014538 25813156849 27478521807 29976569244 36638029076 51626313698 54957043614 77439470547 82435565421 103252627396 109914087228 154878941094 164871130842 232318411641 283944725339 309757882188 329742261684 464636823282 567889450678 851834176017 929273646564 1135778901356 1703668352034 2555502528051 3407336704068 5111005056102 10222010112204