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1012100012220 = 2235111533484867
BaseRepresentation
bin11101011101001011101…
…11001001100010111100
310120202101222201201210210
432232211313021202330
5113040240100342340
62052541411432420
7133056532105413
oct16564567114274
93522358651723
101012100012220
113602580871a0
1214419a2b5710
137459607959b
1436db345a47a
151b4d8b90180
hexeba5dc98bc

1012100012220 has 48 divisors (see below), whose sum is σ = 3091505493888. Its totient is φ = 245357578560.

The previous prime is 1012100012107. The next prime is 1012100012251. The reversal of 1012100012220 is 222100012101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012100012196 and 1012100012205.

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 15 ways as a sum of consecutive naturals, for example, 766741774 + ... + 766743093.

It is an arithmetic number, because the mean of its divisors is an integer number (64406364456).

Almost surely, 21012100012220 is an apocalyptic number.

1012100012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012100012220 is an abundant number, since it is smaller than the sum of its proper divisors (2079405481668).

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

1012100012220 is a wasteful number, since it uses less digits than its factorization.

1012100012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533484890 (or 1533484888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012100012220 its reverse (222100012101), we get a palindrome (1234200024321).

The spelling of 1012100012220 in words is "one trillion, twelve billion, one hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1533484867 3066969734 4600454601 6133939468 7667424335 9200909202 15334848670 16868333537 18401818404 23002273005 30669697340 33736667074 46004546010 50605000611 67473334148 84341667685 92009092020 101210001222 168683335370 202420002444 253025003055 337366670740 506050006110 1012100012220