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1242103005 = 36511132383
BaseRepresentation
bin100101000001000…
…1111110011011101
310012120020101000000
41022002033303131
510020434244010
6323130324513
742531462363
oct11202176335
93176211000
101242103005
11588153410
122a7b89739
1316a4462c0
14bad6d633
15740a57c0
hex4a08fcdd

1242103005 has 112 divisors (see below), whose sum is σ = 2626557696. Its totient is φ = 555672960.

The previous prime is 1242103003. The next prime is 1242103007. The reversal of 1242103005 is 5003012421.

It is an interprime number because it is at equal distance from previous prime (1242103003) and next prime (1242103007).

It is not a de Polignac number, because 1242103005 - 21 = 1242103003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242103001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 520044 + ... + 522426.

It is an arithmetic number, because the mean of its divisors is an integer number (23451408).

Almost surely, 21242103005 is an apocalyptic number.

1242103005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1242103005 is an abundant number, since it is smaller than the sum of its proper divisors (1384454691).

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

1242103005 is a wasteful number, since it uses less digits than its factorization.

1242103005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1242103005 is about 35243.4817377625. The cubic root of 1242103005 is about 1074.9440764130.

Adding to 1242103005 its reverse (5003012421), we get a palindrome (6245115426).

The spelling of 1242103005 in words is "one billion, two hundred forty-two million, one hundred three thousand, five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 243 297 351 405 429 495 585 715 729 891 1053 1215 1287 1485 1755 2145 2383 2673 3159 3645 3861 4455 5265 6435 7149 8019 9477 11583 11915 13365 15795 19305 21447 26213 30979 34749 35745 40095 47385 57915 64341 78639 92937 104247 107235 131065 154895 173745 193023 235917 278811 321705 340769 393195 464685 521235 579069 707751 836433 965115 1022307 1179585 1394055 1703845 1737207 2123253 2509299 2895345 3066921 3538755 4182165 5111535 6369759 7527897 8686035 9200763 10616265 12546495 15334605 19109277 22583691 27602289 31848795 37639485 46003815 82806867 95546385 112918455 138011445 248420601 414034335 1242103005