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10222220010112 = 271189229356219
BaseRepresentation
bin1001010011000000101111…
…0010101110001010000000
31100012020100002101101221021
42110300023302232022000
52314440101310310422
633424004551035224
72103350066305015
oct224601362561200
940166302341837
1010222220010112
113291245780740
12119117496bb14
13591c49a6b876
14274a882a170c
1512ad83ea3dc7
hex94c0bcae280

10222220010112 has 128 divisors (see below), whose sum is σ = 22563687240000. Its totient is φ = 4574181089280.

The previous prime is 10222220010047. The next prime is 10222220010131. The reversal of 10222220010112 is 21101002222201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28518339 + ... + 28874557.

Almost surely, 210222220010112 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 10222220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11281843620000).

10222220010112 is an abundant number, since it is smaller than the sum of its proper divisors (12341467229888).

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

10222220010112 is a wasteful number, since it uses less digits than its factorization.

10222220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356562 (or 356550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222220010112 its reverse (21101002222201), we get a palindrome (31323222232313).

The spelling of 10222220010112 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 229 352 356 458 704 712 916 979 1408 1424 1832 1958 2519 2848 3664 3916 5038 5696 7328 7832 10076 11392 14656 15664 20152 20381 29312 31328 40304 40762 62656 80608 81524 125312 161216 163048 224191 322432 326096 356219 448382 652192 712438 896764 1304384 1424876 1793528 2608768 2849752 3587056 3918409 5699504 7174112 7836818 11399008 14348224 15673636 22798016 28696448 31347272 31703491 45596032 62694544 63406982 81574151 125389088 126813964 163148302 250778176 253627928 326296604 348738401 501556352 507255856 652593208 697476802 897315661 1014511712 1305186416 1394953604 1794631322 2029023424 2610372832 2789907208 3589262644 4058046848 5220745664 5579814416 7178525288 7260099439 10441491328 11159628832 14357050576 14520198878 22319257664 28714101152 29040397756 44638515328 57428202304 58080795512 79861093829 114856404608 116161591024 159722187658 232323182048 319444375316 464646364096 638888750632 929292728192 1277777501264 2555555002528 5111110005056 10222220010112