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42011011001100 = 22352236088552319
BaseRepresentation
bin10011000110101011100110…
…11000110010101100001100
312111202012202120220200012010
421203111303120302230030
521001302022304013400
6225203331513141220
711564124005363601
oct1143256330625414
9174665676820163
1042011011001100
1112427851537a69
1248660226ba810
131a598101088ab
14a534b54a06a8
154ccc0970d450
hex263573632b0c

42011011001100 has 72 divisors (see below), whose sum is σ = 126836721930240. Its totient is φ = 10715852079680.

The previous prime is 42011011001039. The next prime is 42011011001101. The reversal of 42011011001100 is 110011011024.

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

It is not an unprimeable number, because it can be changed into a prime (42011011001101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3044269260 + ... + 3044283059.

It is an arithmetic number, because the mean of its divisors is an integer number (1761621137920).

Almost surely, 242011011001100 is an apocalyptic number.

It is an amenable number.

42011011001100 is an abundant number, since it is smaller than the sum of its proper divisors (84825710929140).

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

42011011001100 is a wasteful number, since it uses less digits than its factorization.

42011011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088552359 (or 6088552352 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 42011011001100 its reverse (110011011024), we get a palindrome (42121022012124).

The spelling of 42011011001100 in words is "forty-two trillion, eleven billion, eleven million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 6088552319 12177104638 18265656957 24354209276 30442761595 36531313914 60885523190 73062627828 91328284785 121771046380 140036703337 152213807975 182656569570 280073406674 304427615950 365313139140 420110110011 456641423925 560146813348 608855231900 700183516685 840220220022 913282847850 1400367033370 1680440440044 1826565695700 2100550550055 2800734066740 3500917583425 4201101100110 7001835166850 8402202200220 10502752750275 14003670333700 21005505500550 42011011001100