Search a number
-
+
1103332014 = 2321967179269
BaseRepresentation
bin100000111000011…
…1000001010101110
32211220010001222200
41001300320022232
54224423111024
6301252122330
736225111261
oct10160701256
92756101880
101103332014
11516890744
122696063a6
131477794a5
14a6768cd8
1566ce32c9
hex41c382ae

1103332014 has 96 divisors (see below), whose sum is σ = 2577744000. Its totient is φ = 340034112.

The previous prime is 1103331959. The next prime is 1103332019. The reversal of 1103332014 is 4102333011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103332019) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4101472 + ... + 4101740.

It is an arithmetic number, because the mean of its divisors is an integer number (26851500).

Almost surely, 21103332014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103332014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288872000).

1103332014 is an abundant number, since it is smaller than the sum of its proper divisors (1474411986).

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

1103332014 is a wasteful number, since it uses less digits than its factorization.

1103332014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1103332014 is about 33216.4419226383. The cubic root of 1103332014 is about 1033.3213593016.

Adding to 1103332014 its reverse (4102333011), we get a palindrome (5205665025).

The spelling of 1103332014 in words is "one billion, one hundred three million, three hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 171 179 201 269 342 358 402 537 538 603 807 1074 1206 1273 1611 1614 2421 2546 3222 3401 3819 4842 5111 6802 7638 10203 10222 11457 11993 15333 18023 20406 22914 23986 30609 30666 35979 36046 45999 48151 54069 61218 71958 91998 96302 107937 108138 144453 162207 215874 227867 288906 324414 342437 433359 455734 683601 684874 866718 914869 1027311 1367202 1829738 2050803 2054622 2744607 3081933 3226117 4101606 5489214 6163866 6452234 8233821 9678351 16467642 19356702 29035053 58070106 61296223 122592446 183888669 367777338 551666007 1103332014