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103420110304 = 2572202932507
BaseRepresentation
bin110000001010001010…
…0011010010111100000
3100212221112011221120201
41200110110122113200
53143301022012204
6115302135514544
710320563301400
oct1402424322740
9325845157521
10103420110304
113a950a57645
1218063228a54
1399a2256c54
145011384800
152a546159a4
hex181451a5e0

103420110304 has 72 divisors (see below), whose sum is σ = 236974542840. Its totient is φ = 44299696896.

The previous prime is 103420110301. The next prime is 103420110307. The reversal of 103420110304 is 403011024301.

It is an interprime number because it is at equal distance from previous prime (103420110301) and next prime (103420110307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103420110301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3165219 + ... + 3197725.

It is an arithmetic number, because the mean of its divisors is an integer number (3291313095).

Almost surely, 2103420110304 is an apocalyptic number.

103420110304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103420110304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118487271420).

103420110304 is an abundant number, since it is smaller than the sum of its proper divisors (133554432536).

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

103420110304 is a wasteful number, since it uses less digits than its factorization.

103420110304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34560 (or 34545 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 103420110304 its reverse (403011024301), we get a palindrome (506431134605).

The spelling of 103420110304 in words is "one hundred three billion, four hundred twenty million, one hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2029 4058 8116 14203 16232 28406 32464 32507 56812 64928 65014 99421 113624 130028 198842 227248 227549 260056 397684 454496 455098 520112 795368 910196 1040224 1590736 1592843 1820392 3181472 3185686 3640784 6371372 7281568 12742744 25485488 50970976 65956703 131913406 263826812 461696921 527653624 923393842 1055307248 1846787684 2110614496 3231878447 3693575368 6463756894 7387150736 12927513788 14774301472 25855027576 51710055152 103420110304