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1014220100 = 225245722193
BaseRepresentation
bin111100011100111…
…100010101000100
32121200102201102102
4330130330111010
54034120020400
6244350131232
734063504625
oct7434742504
92550381372
101014220100
11480556633
122437b0b18
1313217884a
14989ada4c
155e08e9d5
hex3c73c544

1014220100 has 36 divisors (see below), whose sum is σ = 2205772884. Its totient is φ = 404782080.

The previous prime is 1014220073. The next prime is 1014220117. The reversal of 1014220100 is 10224101.

1014220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 113379904 + 900840196 = 10648^2 + 30014^2 .

It is a super-2 number, since 2×10142201002 = 2057284822488020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34604 + ... + 56796.

It is an arithmetic number, because the mean of its divisors is an integer number (61271469).

Almost surely, 21014220100 is an apocalyptic number.

1014220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014220100 is an abundant number, since it is smaller than the sum of its proper divisors (1191552784).

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

1014220100 is a wasteful number, since it uses less digits than its factorization.

1014220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22664 (or 22657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1014220100 is about 31846.8224474593. The cubic root of 1014220100 is about 1004.7177412498.

Adding to 1014220100 its reverse (10224101), we get a palindrome (1024444201).

The spelling of 1014220100 in words is "one billion, fourteen million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 457 914 1828 2285 4570 9140 11425 22193 22850 44386 45700 88772 110965 221930 443860 554825 1109650 2219300 10142201 20284402 40568804 50711005 101422010 202844020 253555025 507110050 1014220100