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20003140123104 = 2532631859342611
BaseRepresentation
bin1001000110001010110000…
…00011111011100111100000
32121211021121020011021202110
410203011120003323213200
510110212412332414404
6110313152105515320
74133115313436505
oct443053003734740
977737536137673
1020003140123104
116412314133aa6
1222b08ab1a2b40
13b21398a19648
144d222b2db4ac
1524a4da8a7b89
hex1231580fb9e0

20003140123104 has 96 divisors (see below), whose sum is σ = 52711965782784. Its totient is φ = 6641847726080.

The previous prime is 20003140123067. The next prime is 20003140123111. The reversal of 20003140123104 is 40132104130002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200031401231042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469414759 + ... + 469457369.

It is an arithmetic number, because the mean of its divisors is an integer number (549082976904).

Almost surely, 220003140123104 is an apocalyptic number.

20003140123104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20003140123104 is an abundant number, since it is smaller than the sum of its proper divisors (32708825659680).

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

20003140123104 is a wasteful number, since it uses less digits than its factorization.

20003140123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61480 (or 61472 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20003140123104 its reverse (40132104130002), we get a palindrome (60135244253106).

The spelling of 20003140123104 in words is "twenty trillion, three billion, one hundred forty million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 18593 25248 37186 42611 55779 74372 85222 111558 127833 148744 170444 223116 255666 297488 340888 446232 511332 594976 681776 892464 1022664 1363552 1784928 2045328 4090656 4889959 9779918 11206693 14669877 19559836 22413386 29339754 33620079 39119672 44826772 58679508 67240158 78239344 89653544 117359016 134480316 156478688 179307088 234718032 268960632 358614176 469436064 537921264 792266323 1075842528 1584532646 2376798969 3169065292 4753597938 6338130584 9507195876 12676261168 19014391752 25352522336 38028783504 76057567008 208366042949 416732085898 625098128847 833464171796 1250196257694 1666928343592 2500392515388 3333856687184 5000785030776 6667713374368 10001570061552 20003140123104