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10222022010222 = 23311179071116077
BaseRepresentation
bin1001010010111111111111…
…1111011010010101101110
31100012012211021210222011000
42110233333333122111232
52314434200113311342
633423533155141130
72103342143320611
oct224577777322556
940165737728130
1010222022010222
113291153a34470
12119111a5a47a6
13591c17a34a79
14274a69c80178
1512ad718e244c
hex94bfffda56e

10222022010222 has 128 divisors (see below), whose sum is σ = 26267297518080. Its totient is φ = 2912154785280.

The previous prime is 10222022010209. The next prime is 10222022010241. The reversal of 10222022010222 is 22201022022201.

10222022010222 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 220 + 1 + 0 + 222 = 666.

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 = 10222022010195 and 10222022010204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8600848 + ... + 9716924.

It is an arithmetic number, because the mean of its divisors is an integer number (205213261860).

Almost surely, 210222022010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222022010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133648759040).

10222022010222 is an abundant number, since it is smaller than the sum of its proper divisors (16045275507858).

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

10222022010222 is a wasteful number, since it uses less digits than its factorization.

10222022010222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117023 (or 1117017 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222022010222 its reverse (22201022022201), we get a palindrome (32423044032423).

The spelling of 10222022010222 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 907 918 1122 1683 1814 2721 3366 5049 5442 8163 9977 10098 15419 16326 19954 24489 29931 30838 46257 48978 59862 89793 92514 138771 169609 179586 269379 277542 339218 416313 508827 538758 832626 1017654 1116077 1526481 2232154 3052962 3348231 4579443 6696462 9158886 10044693 12276847 18973309 20089386 24553694 30134079 36830541 37946618 56919927 60268158 73661082 110491623 113839854 170759781 208706399 220983246 331474869 341519562 417412798 512279343 626119197 662949738 1012281839 1024558686 1252238394 1878357591 2024563678 3036845517 3756715182 5635072773 6073691034 9110536551 11135100229 11270145546 17208791263 18221073102 22270200458 27331609653 33405300687 34417582526 51626373789 54663219306 66810601374 100215902061 103252747578 154879121367 189296703893 200431804122 300647706183 309758242734 378593407786 464637364101 567890111679 601295412366 929274728202 1135780223358 1703670335037 3407340670074 5111011005111 10222022010222