Search a number
-
+
103303320012 = 223225136731151
BaseRepresentation
bin110000000110101011…
…0111001000111001100
3100212122101102101102100
41200031112321013030
53143031122220022
6115242404355100
710314644506044
oct1401526710714
9325571371370
10103303320012
113a8a1038342
12180300a5a90
139983cb4c79
144ddda62724
152a492461ac
hex180d5b91cc

103303320012 has 72 divisors (see below), whose sum is σ = 262890980352. Its totient is φ = 34202700000.

The previous prime is 103303319923. The next prime is 103303320019. The reversal of 103303320012 is 210023303301.

103303320012 is a `hidden beast` number, since 1 + 0 + 330 + 3 + 320 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103303320019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3300637 + ... + 3331787.

It is an arithmetic number, because the mean of its divisors is an integer number (3651263616).

Almost surely, 2103303320012 is an apocalyptic number.

103303320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103303320012 is an abundant number, since it is smaller than the sum of its proper divisors (159587660340).

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

103303320012 is a wasteful number, since it uses less digits than its factorization.

103303320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31779 (or 31774 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103303320012 its reverse (210023303301), we get a palindrome (313326623313).

The spelling of 103303320012 in words is "one hundred three billion, three hundred three million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 251 367 502 734 753 1004 1101 1468 1506 2202 2259 3012 3303 4404 4518 6606 9036 13212 31151 62302 92117 93453 124604 184234 186906 276351 280359 368468 373812 552702 560718 829053 1105404 1121436 1658106 3316212 7818901 11432417 15637802 22864834 23456703 31275604 34297251 45729668 46913406 68594502 70370109 93826812 102891753 137189004 140740218 205783506 281480436 411567012 2869536667 5739073334 8608610001 11478146668 17217220002 25825830003 34434440004 51651660006 103303320012