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1000110211122 = 231137881946439
BaseRepresentation
bin11101000110110110011…
…01101100000000110010
310112121110101210201201110
432203123031230000302
5112341211203223442
62043235544414150
7132153443350161
oct16433315540062
93477411721643
101000110211122
11356165161170
121419b2a77356
1373405076019
1436596d353d8
151b03628669c
hexe8db36c032

1000110211122 has 64 divisors (see below), whose sum is σ = 2241335577600. Its totient is φ = 294833004480.

The previous prime is 1000110211117. The next prime is 1000110211273. The reversal of 1000110211122 is 2211120110001.

It is a junction number, because it is equal to n+sod(n) for n = 1000110211098 and 1000110211107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21512779 + ... + 21559217.

It is an arithmetic number, because the mean of its divisors is an integer number (35020868400).

Almost surely, 21000110211122 is an apocalyptic number.

1000110211122 is an abundant number, since it is smaller than the sum of its proper divisors (1241225366478).

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

1000110211122 is a wasteful number, since it uses less digits than its factorization.

1000110211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55311.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1000110211122 its reverse (2211120110001), we get a palindrome (3211230321123).

The spelling of 1000110211122 in words is "one trillion, one hundred ten million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 8819 17638 26457 46439 52914 92878 97009 139317 194018 278634 291027 326303 510829 582054 652606 978909 1021658 1532487 1718243 1957818 3064974 3436486 3589333 5154729 7178666 10309458 10767999 18900673 21535998 37801346 56702019 113404038 409545541 819091082 1228636623 2457273246 4505000951 9010001902 13515002853 15153185017 27030005706 30306370034 45459555051 90919110102 166685035187 333370070374 500055105561 1000110211122