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13100330100 = 223521113305369
BaseRepresentation
bin11000011001101011…
…10010110001110100
31020210222120201111010
430030311302301310
5203312141030400
610003533312220
7642431653134
oct141465626164
936728521433
1013100330100
1156128819a0
122657335670
13130a0cc820
148c3c04ac4
1551a16e450
hex30cd72c74

13100330100 has 144 divisors (see below), whose sum is σ = 44530274880. Its totient is φ = 2931532800.

The previous prime is 13100330093. The next prime is 13100330119. The reversal of 13100330100 is 103300131.

13100330100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 109785 + ... + 195584.

It is an arithmetic number, because the mean of its divisors is an integer number (309238020).

Almost surely, 213100330100 is an apocalyptic number.

13100330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100330100 is an abundant number, since it is smaller than the sum of its proper divisors (31429944780).

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

13100330100 is a wasteful number, since it uses less digits than its factorization.

13100330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305410 (or 305403 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13100330100 its reverse (103300131), we get a palindrome (13203630231).

The spelling of 13100330100 in words is "thirteen billion, one hundred million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 305369 610738 916107 1221476 1526845 1832214 3053690 3359059 3664428 3969797 4580535 6107380 6718118 7634225 7939594 9161070 10077177 11909391 13436236 15268450 15879188 16795295 18322140 19848985 20154354 22902675 23818782 30536900 33590590 39697970 40308708 43667767 45805350 47637564 50385885 59546955 67181180 79395940 83976475 87335534 91610700 99244925 100771770 119093910 131003301 167952950 174671068 198489850 201543540 218338835 238187820 251929425 262006602 297734775 335905900 396979700 436677670 503858850 524013204 595469550 655016505 873355340 1007717700 1091694175 1190939100 1310033010 2183388350 2620066020 3275082525 4366776700 6550165050 13100330100