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10016100060 = 22355310912887
BaseRepresentation
bin10010101010000000…
…11000111011011100
3221212001001121020220
421111000120323130
5131003110200220
64333515441340
7503131305621
oct112500307334
927761047226
1010016100060
11427a91124a
121b36456250
13c38136735
146b0354348
153d94dd540
hex255018edc

10016100060 has 96 divisors (see below), whose sum is σ = 28610330112. Its totient is φ = 2617255680.

The previous prime is 10016100041. The next prime is 10016100067. The reversal of 10016100060 is 6000161001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016100067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3467937 + ... + 3470823.

It is an arithmetic number, because the mean of its divisors is an integer number (298024272).

Almost surely, 210016100060 is an apocalyptic number.

10016100060 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 10016100060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305165056).

10016100060 is an abundant number, since it is smaller than the sum of its proper divisors (18594230052).

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

10016100060 is a wasteful number, since it uses less digits than its factorization.

10016100060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10016100060 its reverse (6000161001), we get a palindrome (16016261061).

The spelling of 10016100060 in words is "ten billion, sixteen million, one hundred thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1091 1590 2182 2887 3180 3273 4364 5455 5774 6546 8661 10910 11548 13092 14435 16365 17322 21820 28870 32730 34644 43305 57740 57823 65460 86610 115646 153011 173220 173469 231292 289115 306022 346938 459033 578230 612044 693876 765055 867345 918066 1156460 1530110 1734690 1836132 2295165 3060220 3149717 3469380 4590330 6299434 9180660 9449151 12598868 15748585 18898302 31497170 37796604 47245755 62994340 94491510 166935001 188983020 333870002 500805003 667740004 834675005 1001610006 1669350010 2003220012 2504025015 3338700020 5008050030 10016100060