Search a number
-
+
10083110160 = 243556697411
BaseRepresentation
bin10010110010000000…
…00000110100010000
3222000201011001211110
421121000000310100
5131122234011120
64344312013320
7504604010424
oct113100006420
928021131743
1010083110160
11430471a9a2
121b54991240
13c48c99396
146b91d8b84
153e03282e0
hex259000d10

10083110160 has 80 divisors (see below), whose sum is σ = 31267373760. Its totient is φ = 2687992320.

The previous prime is 10083110143. The next prime is 10083110201. The reversal of 10083110160 is 6101138001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100831101602 (a number of 21 digits) contains 22 as substring.

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, 1356855 + ... + 1364265.

It is an arithmetic number, because the mean of its divisors is an integer number (390842172).

Almost surely, 210083110160 is an apocalyptic number.

10083110160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10083110160 is an abundant number, since it is smaller than the sum of its proper divisors (21184263600).

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

10083110160 is a wasteful number, since it uses less digits than its factorization.

10083110160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10083110160 its reverse (6101138001), we get a palindrome (16184248161).

The spelling of 10083110160 in words is "ten billion, eighty-three million, one hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5669 7411 11338 14822 17007 22233 22676 28345 29644 34014 37055 44466 45352 56690 59288 68028 74110 85035 88932 90704 111165 113380 118576 136056 148220 170070 177864 222330 226760 272112 296440 340140 355728 444660 453520 592880 680280 889320 1360560 1778640 42012959 84025918 126038877 168051836 210064795 252077754 336103672 420129590 504155508 630194385 672207344 840259180 1008311016 1260388770 1680518360 2016622032 2520777540 3361036720 5041555080 10083110160