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13100003002240 = 275711265827983
BaseRepresentation
bin1011111010100001010100…
…0001101000011110000000
31201101100101201210101211021
42332220111001220132000
53204112301232032430
643510020331555224
72521305200162650
oct276502501503600
951340351711737
1013100003002240
1141a07531a6490
121576a505bbb14
1374042bca951b
14334087628360
1517ab63cb607a
hexbea15068780

13100003002240 has 128 divisors (see below), whose sum is σ = 39044814289920. Its totient is φ = 4083117803520.

The previous prime is 13100003002231. The next prime is 13100003002243. The reversal of 13100003002240 is 4220030000131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131000030022402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100003002243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132864712 + ... + 132963271.

It is an arithmetic number, because the mean of its divisors is an integer number (305037611640).

Almost surely, 213100003002240 is an apocalyptic number.

13100003002240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100003002240 is an abundant number, since it is smaller than the sum of its proper divisors (25944811287680).

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

13100003002240 is a wasteful number, since it uses less digits than its factorization.

13100003002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265828020 (or 265828008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13100003002240 its reverse (4220030000131), we get a palindrome (17320033002371).

The spelling of 13100003002240 in words is "thirteen trillion, one hundred billion, three million, two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1120 1232 1408 1540 1760 2240 2464 3080 3520 4480 4928 6160 7040 9856 12320 24640 49280 265827983 531655966 1063311932 1329139915 1860795881 2126623864 2658279830 2924107813 3721591762 4253247728 5316559660 5848215626 7443183524 8506495456 9303979405 10633119320 11696431252 14620539065 14886367048 17012990912 18607958810 20468754691 21266238640 23392862504 29241078130 29772734096 34025981824 37215917620 40937509382 42532477280 46785725008 58482156260 59545468192 74431835240 81875018764 85064954560 93571450016 102343773455 116964312520 119090936384 148863670480 163750037528 170129909120 187142900032 204687546910 233928625040 238181872768 297727340960 327500075056 374285800064 409375093820 467857250080 595454681920 655000150112 818750187640 935714500160 1190909363840 1310000300224 1637500375280 1871429000320 2620000600448 3275000750560 6550001501120 13100003002240