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1012221022110 = 235432017389027
BaseRepresentation
bin11101011101011010001…
…00110000111110011110
310120202201102102200011120
432232231010300332132
5113041012040201420
62053001413231410
7133062531504054
oct16565504607636
93522642380146
101012221022110
1136030a418771
12144212932566
13745b516807c
1436dc555a1d4
151b4e45e4d40
hexebad130f9e

1012221022110 has 64 divisors (see below), whose sum is σ = 2487065340672. Its totient is φ = 263516875776.

The previous prime is 1012221022009. The next prime is 1012221022129. The reversal of 1012221022110 is 112201222101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012221022110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407417 + ... + 2796443.

It is an arithmetic number, because the mean of its divisors is an integer number (38860395948).

Almost surely, 21012221022110 is an apocalyptic number.

1012221022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012221022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243532670336).

1012221022110 is an abundant number, since it is smaller than the sum of its proper divisors (1474844318562).

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

1012221022110 is a wasteful number, since it uses less digits than its factorization.

1012221022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391097.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1012221022110 its reverse (112201222101), we get a palindrome (1124422244211).

The spelling of 1012221022110 in words is "one trillion, twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 2017 4034 6051 10085 12102 20170 30255 60510 86731 173462 260193 389027 433655 520386 778054 867310 1167081 1300965 1945135 2334162 2601930 3890270 5835405 11670810 16728161 33456322 50184483 83640805 100368966 167281610 250922415 501844830 784667459 1569334918 2354002377 3923337295 4708004754 7846674590 11770011885 23540023770 33740700737 67481401474 101222102211 168703503685 202444204422 337407007370 506110511055 1012221022110