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1011102012 = 223234678101
BaseRepresentation
bin111100010001000…
…011000100111100
32121110120022012200
4330101003010330
54032320231022
6244155231500
734025140164
oct7421030474
92543508180
101011102012
114798169a8
12242748590
1313162651b
14983db5a4
155db75bac
hex3c44313c

1011102012 has 36 divisors (see below), whose sum is σ = 2556893976. Its totient is φ = 336895200.

The previous prime is 1011101981. The next prime is 1011102089. The reversal of 1011102012 is 2102011101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 1011101985 and 1011102003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120762 + ... + 128862.

Almost surely, 21011102012 is an apocalyptic number.

1011102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011102012 is an abundant number, since it is smaller than the sum of its proper divisors (1545791964).

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

1011102012 is a wasteful number, since it uses less digits than its factorization.

1011102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11578 (or 11573 counting only the distinct ones).

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

The square root of 1011102012 is about 31797.8303033399. The cubic root of 1011102012 is about 1003.6870595507.

Adding to 1011102012 its reverse (2102011101), we get a palindrome (3113113113).

The spelling of 1011102012 in words is "one billion, eleven million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3467 6934 8101 10401 13868 16202 20802 24303 31203 32404 41604 48606 62406 72909 97212 124812 145818 291636 28086167 56172334 84258501 112344668 168517002 252775503 337034004 505551006 1011102012