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10001100060 = 22325761130121
BaseRepresentation
bin10010101000001110…
…01010110100011100
3221210222211112010100
421110013022310130
5130440240200220
64332222141100
7502556643060
oct112407126434
927728745110
1010001100060
1142723a6556
121b31421790
13c34cb40b3
146ac36baa0
153d8028d90
hex2541cad1c

10001100060 has 144 divisors (see below), whose sum is σ = 35239119552. Its totient is φ = 2248473600.

The previous prime is 10001100059. The next prime is 10001100103. The reversal of 10001100060 is 6000110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11800 + ... + 141920.

It is an arithmetic number, because the mean of its divisors is an integer number (244716108).

Almost surely, 210001100060 is an apocalyptic number.

10001100060 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 10001100060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619559776).

10001100060 is an abundant number, since it is smaller than the sum of its proper divisors (25238019492).

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

10001100060 is a wasteful number, since it uses less digits than its factorization.

10001100060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130204 (or 130199 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001100060 its reverse (6000110001), we get a palindrome (16001210061).

The spelling of 10001100060 in words is "ten billion, one million, one hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 305 315 366 420 427 549 610 630 732 854 915 1098 1220 1260 1281 1708 1830 2135 2196 2562 2745 3660 3843 4270 5124 5490 6405 7686 8540 10980 12810 15372 19215 25620 38430 76860 130121 260242 390363 520484 650605 780726 910847 1171089 1301210 1561452 1821694 1951815 2342178 2602420 2732541 3643388 3903630 4554235 4684356 5465082 5855445 7807260 7937381 8197623 9108470 10930164 11710890 13662705 15874762 16395246 18216940 23421780 23812143 27325410 31749524 32790492 39686905 40988115 47624286 54650820 55561667 71436429 79373810 81976230 95248572 111123334 119060715 142872858 158747620 163952460 166685001 222246668 238121430 277808335 285745716 333370002 357182145 476242860 500055003 555616670 666740004 714364290 833425005 1000110006 1111233340 1428728580 1666850010 2000220012 2500275015 3333700020 5000550030 10001100060