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13110071927004 = 223213165443169321
BaseRepresentation
bin1011111011000110110100…
…1011100010000011011100
31201102022101110020202221200
42332301231023202003130
53204243411403131004
643514403415555500
72522112542502513
oct276615513420334
951368343222850
1013110071927004
1141a4a4a907708
1215789a068bb90
13741375049c80
143347609ad67a
1517b052c3b239
hexbec6d2e20dc

13110071927004 has 72 divisors (see below), whose sum is σ = 35688955625232. Its totient is φ = 4033820079360.

The previous prime is 13110071926999. The next prime is 13110071927033. The reversal of 13110071927004 is 40072917001131.

13110071927004 is a `hidden beast` number, since 1 + 311 + 0 + 0 + 71 + 9 + 270 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13110071927004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77342664 + ... + 77511984.

Almost surely, 213110071927004 is an apocalyptic number.

It is an amenable number.

13110071927004 is an abundant number, since it is smaller than the sum of its proper divisors (22578883698228).

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

13110071927004 is a wasteful number, since it uses less digits than its factorization.

13110071927004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334787 (or 334782 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 13110071927004 its reverse (40072917001131), we get a palindrome (53182988928135).

The spelling of 13110071927004 in words is "thirteen trillion, one hundred ten billion, seventy-one million, nine hundred twenty-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 165443 169321 330886 338642 496329 507963 661772 677284 992658 1015926 1488987 1523889 1985316 2031852 2150759 2201173 2977974 3047778 4301518 4402346 5955948 6095556 6452277 6603519 8603036 8804692 12904554 13207038 19356831 19810557 25809108 26414076 38713662 39621114 77427324 79242228 28012974203 56025948406 84038922609 112051896812 168077845218 252116767827 336155690436 364168664639 504233535654 728337329278 1008467071308 1092505993917 1456674658556 2185011987834 3277517981751 4370023975668 6555035963502 13110071927004