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104200012140 = 223572131270551
BaseRepresentation
bin110000100001011001…
…1100000000101101100
3100221221212201001202220
41201002303200011230
53201400200342030
6115511355515340
710346113326600
oct1410263400554
9327855631686
10104200012140
1140211210414
1218240458b50
139a979c0b23
145086b9b500
152a9cd1ca10
hex1842ce016c

104200012140 has 144 divisors (see below), whose sum is σ = 341986385664. Its totient is φ = 23635248000.

The previous prime is 104200012129. The next prime is 104200012141. The reversal of 104200012140 is 41210002401.

It is a super-2 number, since 2×1042000121402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (104200012141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249865 + ... + 520415.

It is an arithmetic number, because the mean of its divisors is an integer number (2374905456).

Almost surely, 2104200012140 is an apocalyptic number.

104200012140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104200012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170993192832).

104200012140 is an abundant number, since it is smaller than the sum of its proper divisors (237786373524).

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

104200012140 is a wasteful number, since it uses less digits than its factorization.

104200012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270708 (or 270699 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 104200012140 its reverse (41210002401), we get a palindrome (145410014541).

The spelling of 104200012140 in words is "one hundred four billion, two hundred million, twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 131 140 147 196 210 245 262 294 393 420 490 524 588 655 735 786 917 980 1310 1470 1572 1834 1965 2620 2751 2940 3668 3930 4585 5502 6419 7860 9170 11004 12838 13755 18340 19257 25676 27510 32095 38514 55020 64190 77028 96285 128380 192570 270551 385140 541102 811653 1082204 1352755 1623306 1893857 2705510 3246612 3787714 4058265 5411020 5681571 7575428 8116530 9469285 11363142 13256999 16233060 18938570 22726284 26513998 28407855 35442181 37877140 39770997 53027996 56815710 66284995 70884362 79541994 106326543 113631420 132569990 141768724 159083988 177210905 198854985 212653086 248095267 265139980 354421810 397709970 425306172 496190534 531632715 708843620 744285801 795419940 992381068 1063265430 1240476335 1488571602 1736666869 2126530860 2480952670 2977143204 3473333738 3721429005 4961905340 5210000607 6946667476 7442858010 8683334345 10420001214 14885716020 17366668690 20840002428 26050003035 34733337380 52100006070 104200012140