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13111034442000 = 2435311198652037
BaseRepresentation
bin1011111011001010011010…
…0011001111000100010000
31201102101212112101121022020
42332302212203033010100
53204302344304121000
643515043122011440
72522145440651625
oct276624643170420
951371775347266
1013111034442000
1141a53a4158450
12157900aaa6b80
13741499591281
1433481276034c
1517b0ac4b5ba0
hexbeca68cf110

13111034442000 has 160 divisors (see below), whose sum is σ = 46112700276864. Its totient is φ = 3178432576000.

The previous prime is 13111034441977. The next prime is 13111034442001. The reversal of 13111034442000 is 24443011131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13111034442001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99260019 + ... + 99392018.

Almost surely, 213111034442000 is an apocalyptic number.

13111034442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13111034442000 is an abundant number, since it is smaller than the sum of its proper divisors (33001665834864).

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

13111034442000 is a wasteful number, since it uses less digits than its factorization.

13111034442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198652074 (or 198652058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13111034442000 its reverse (24443011131), we get a palindrome (13135477453131).

The spelling of 13111034442000 in words is "thirteen trillion, one hundred eleven billion, thirty-four million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 198652037 397304074 595956111 794608148 993260185 1191912222 1589216296 1986520370 2185172407 2383824444 2979780555 3178432592 3973040740 4370344814 4767648888 4966300925 5959561110 6555517221 7946081480 8740689628 9535297776 9932601850 10925862035 11919122220 13111034442 14898902775 15892162960 17481379256 19865203700 21851724070 23838244440 24831504625 26222068884 29797805550 32777586105 34962758512 39730407400 43703448140 47676488880 49663009250 52444137768 54629310175 59595611100 65555172210 74494513875 79460814800 87406896280 99326018500 104888275536 109258620350 119191222200 131110344420 148989027750 163887930525 174813792560 198652037000 218517240700 238382444400 262220688840 273146550875 297978055500 327775861050 397304074000 437034481400 524441377680 546293101750 595956111000 655551722100 819439652625 874068962800 1092586203500 1191912222000 1311103444200 1638879305250 2185172407000 2622206888400 3277758610500 4370344814000 6555517221000 13111034442000