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1214103135 = 35721986939
BaseRepresentation
bin100100001011101…
…1011111001011111
310010121112211101210
41020113123321133
54441302300020
6320250235503
742041464200
oct11027337137
93117484353
101214103135
11573369723
1229a725b93
131646c182b
14b73615a7
15718c43e0
hex485dbe5f

1214103135 has 48 divisors (see below), whose sum is σ = 2378678400. Its totient is φ = 525801024.

The previous prime is 1214103131. The next prime is 1214103157. The reversal of 1214103135 is 5313014121.

It is not a de Polignac number, because 1214103135 - 22 = 1214103131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214103131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29505 + ... + 57434.

It is an arithmetic number, because the mean of its divisors is an integer number (49555800).

Almost surely, 21214103135 is an apocalyptic number.

1214103135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1214103135 is a deficient number, since it is larger than the sum of its proper divisors (1164575265).

1214103135 is a wasteful number, since it uses less digits than its factorization.

1214103135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86980 (or 86973 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1214103135 is about 34843.9827660387. The cubic root of 1214103135 is about 1066.8053709059.

Adding to 1214103135 its reverse (5313014121), we get a palindrome (6527117256).

The spelling of 1214103135 in words is "one billion, two hundred fourteen million, one hundred three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 19 21 35 49 57 95 105 133 147 245 285 399 665 735 931 1995 2793 4655 13965 86939 260817 434695 608573 1304085 1651841 1825719 3042865 4260011 4955523 8259205 9128595 11562887 12780033 21300055 24777615 34688661 57814435 63900165 80940209 173443305 242820627 404701045 1214103135