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12103100130 = 23511193495531
BaseRepresentation
bin10110100010110011…
…01010011011100010
31011020111010012010210
423101121222123202
5144241343201010
65320551234550
7605632440132
oct132131523342
934214105123
1012103100130
1151509802a0
122419378a56
1311ab622414
1482b5b8ac2
154ac838b20
hex2d166a6e2

12103100130 has 128 divisors (see below), whose sum is σ = 33457536000. Its totient is φ = 2771193600.

The previous prime is 12103100123. The next prime is 12103100159. The reversal of 12103100130 is 3100130121.

12103100130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2185465 + ... + 2190995.

It is an arithmetic number, because the mean of its divisors is an integer number (261387000).

Almost surely, 212103100130 is an apocalyptic number.

12103100130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728768000).

12103100130 is an abundant number, since it is smaller than the sum of its proper divisors (21354435870).

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

12103100130 is a wasteful number, since it uses less digits than its factorization.

12103100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12103100130 its reverse (3100130121), we get a palindrome (15203230251).

The spelling of 12103100130 in words is "twelve billion, one hundred three million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 349 418 570 627 698 1045 1047 1254 1745 2090 2094 3135 3490 3839 5235 5531 6270 6631 7678 10470 11062 11517 13262 16593 19195 19893 23034 27655 33155 33186 38390 39786 55310 57585 60841 66310 72941 82965 99465 105089 115170 121682 145882 165930 182523 198930 210178 218823 304205 315267 364705 365046 437646 525445 608410 630534 729410 912615 1050890 1094115 1155979 1576335 1825230 1930319 2188230 2311958 3152670 3467937 3860638 5779895 5790957 6935874 9651595 11559790 11581914 17339685 19303190 21233509 28954785 34679370 36676061 42467018 57909570 63700527 73352122 106167545 110028183 127401054 183380305 212335090 220056366 318502635 366760610 403436671 550140915 637005270 806873342 1100281830 1210310013 2017183355 2420620026 4034366710 6051550065 12103100130