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11110100022 = 233771503823
BaseRepresentation
bin10100101100011011…
…01010110000110110
31001200021121120002000
422112031222300312
5140223141200042
65034240000130
7542214202110
oct122615526066
931607546060
1011110100022
1147913a864a
1221a0900046
1310809963a8
147757703b0
1545058b74c
hex29636ac36

11110100022 has 128 divisors (see below), whose sum is σ = 28705259520. Its totient is φ = 3119588640.

The previous prime is 11110100011. The next prime is 11110100039. The reversal of 11110100022 is 22000101111.

It is a happy number.

11110100022 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 11110099977 and 11110100013.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13499103 + ... + 13499925.

It is an arithmetic number, because the mean of its divisors is an integer number (224259840).

Almost surely, 211110100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352629760).

11110100022 is an abundant number, since it is smaller than the sum of its proper divisors (17595159498).

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

11110100022 is a wasteful number, since it uses less digits than its factorization.

11110100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11110100022 its reverse (22000101111), we get a palindrome (33110201133).

The spelling of 11110100022 in words is "eleven billion, one hundred ten million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 126 142 189 213 378 426 497 503 639 823 994 1006 1278 1491 1509 1646 1917 2469 2982 3018 3521 3834 4473 4527 4938 5761 7042 7407 8946 9054 10563 11522 13419 13581 14814 17283 21126 22221 26838 27162 31689 34566 35713 44442 51849 58433 63378 71426 95067 103698 107139 116866 155547 175299 190134 214278 249991 311094 321417 350598 409031 413969 499982 525897 642834 749973 818062 827938 964251 1051794 1227093 1241907 1499946 1577691 1928502 2249919 2454186 2483814 2897783 3155382 3681279 3725721 4499838 5795566 6749757 7362558 7451442 8693349 11043837 11177163 13499514 17386698 22087674 22354326 26080047 29391799 52160094 58783598 78240141 88175397 156480282 176350794 205742593 264526191 411485186 529052382 617227779 793578573 1234455558 1587157146 1851683337 3703366674 5555050011 11110100022