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10166000130 = 23251121371809
BaseRepresentation
bin10010111011111000…
…01101101000000010
3222020111010022111100
421131330031220002
5131304444001010
64400432355230
7506631401226
oct113574155002
928214108440
1010166000130
114347495400
121b786a5b16
13c601cbcc0
146c6214786
153e774d2c0
hex25df0da02

10166000130 has 144 divisors (see below), whose sum is σ = 31288191480. Its totient is φ = 2274877440.

The previous prime is 10166000087. The next prime is 10166000177. The reversal of 10166000130 is 3100066101.

10166000130 is a `hidden beast` number, since 1 + 0 + 1 + 660 + 0 + 0 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4187772369 + 5978227761 = 64713^2 + 77319^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105666 + ... + 177474.

Almost surely, 210166000130 is an apocalyptic number.

10166000130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10166000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644095740).

10166000130 is an abundant number, since it is smaller than the sum of its proper divisors (21122191350).

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

10166000130 is a wasteful number, since it uses less digits than its factorization.

10166000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71857 (or 71843 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10166000130 its reverse (3100066101), we get a palindrome (13266066231).

The spelling of 10166000130 in words is "ten billion, one hundred sixty-six million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 121 130 143 165 195 198 234 242 286 330 363 390 429 495 585 605 715 726 858 990 1089 1170 1210 1287 1430 1573 1815 2145 2178 2574 3146 3630 4290 4719 5445 6435 7865 9438 10890 12870 14157 15730 23595 28314 47190 70785 71809 141570 143618 215427 359045 430854 646281 718090 789899 933517 1077135 1292562 1579798 1867034 2154270 2369697 2800551 3231405 3949495 4667585 4739394 5601102 6462810 7109091 7898990 8401653 8688889 9335170 10268687 11848485 14002755 14218182 16803306 17377778 20537374 23696970 26066667 28005510 30806061 35545455 42008265 43444445 51343435 52133334 61612122 71090910 78200001 84016530 86888890 92418183 102686870 112955557 130333335 154030305 156400002 184836366 225911114 260666670 308060610 338866671 391000005 462090915 564777785 677733342 782000010 924181830 1016600013 1129555570 1694333355 2033200026 3388666710 5083000065 10166000130