Search a number
-
+
103000144212 = 22337136243577
BaseRepresentation
bin101111111101101001…
…0010111100101010100
3100211212020221110102000
41133323102113211110
53141421014103322
6115152334315300
710304303531430
oct1377322274524
9324766843360
10103000144212
113a755994929
1217b66658b30
1399362447c4
144db16a39c0
152a2c80b3ac
hex17fb497954

103000144212 has 48 divisors (see below), whose sum is σ = 305185614720. Its totient is φ = 29428612416.

The previous prime is 103000144141. The next prime is 103000144217. The reversal of 103000144212 is 212441000301.

103000144212 is a `hidden beast` number, since 10 + 300 + 0 + 144 + 212 = 666.

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 (103000144217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68121033 + ... + 68122544.

It is an arithmetic number, because the mean of its divisors is an integer number (6358033640).

Almost surely, 2103000144212 is an apocalyptic number.

103000144212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103000144212 is an abundant number, since it is smaller than the sum of its proper divisors (202185470508).

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

103000144212 is a wasteful number, since it uses less digits than its factorization.

103000144212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136243597 (or 136243589 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103000144212 its reverse (212441000301), we get a palindrome (315441144513).

The spelling of 103000144212 in words is "one hundred three billion, one hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 136243577 272487154 408730731 544974308 817461462 953705039 1226192193 1634922924 1907410078 2452384386 2861115117 3678576579 3814820156 4904768772 5722230234 7357153158 8583345351 11444460468 14714306316 17166690702 25750036053 34333381404 51500072106 103000144212