Search a number
-
+
13123300131120 = 2435110949306057
BaseRepresentation
bin1011111011111000000110…
…1001001000000100110000
31201110120112100110011121110
42332332001221020010300
53210003004313143440
643524432202153320
72523061416413334
oct276760151100460
951416470404543
1013123300131120
1141aa618889203
12157b4727b2840
137426a279c69a
1433525777d7c4
1517b579219080
hexbef81a48130

13123300131120 has 80 divisors (see below), whose sum is σ = 40718914938720. Its totient is φ = 3496391043072.

The previous prime is 13123300131107. The next prime is 13123300131121. The reversal of 13123300131120 is 2113100332131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13123300131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24386869 + ... + 24919188.

It is an arithmetic number, because the mean of its divisors is an integer number (508986436734).

Almost surely, 213123300131120 is an apocalyptic number.

13123300131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13123300131120 is an abundant number, since it is smaller than the sum of its proper divisors (27595614807600).

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

13123300131120 is a wasteful number, since it uses less digits than its factorization.

13123300131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49307182 (or 49307176 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13123300131120 its reverse (2113100332131), we get a palindrome (15236400463251).

The spelling of 13123300131120 in words is "thirteen trillion, one hundred twenty-three billion, three hundred million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1109 2218 3327 4436 5545 6654 8872 11090 13308 16635 17744 22180 26616 33270 44360 53232 66540 88720 133080 266160 49306057 98612114 147918171 197224228 246530285 295836342 394448456 493060570 591672684 739590855 788896912 986121140 1183345368 1479181710 1972242280 2366690736 2958363420 3944484560 5916726840 11833453680 54680417213 109360834426 164041251639 218721668852 273402086065 328082503278 437443337704 546804172130 656165006556 820206258195 874886675408 1093608344260 1312330013112 1640412516390 2187216688520 2624660026224 3280825032780 4374433377040 6561650065560 13123300131120