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20101312 = 267114079
BaseRepresentation
bin100110010101…
…1100011000000
31101211020211001
41030223203000
520121220222
61554501344
7332600260
oct114534300
941736731
1020101312
111038a460
126894854
13421a58a
1429537a0
151b70e27
hex132b8c0

20101312 has 56 divisors (see below), whose sum is σ = 49743360. Its totient is φ = 7829760.

The previous prime is 20101309. The next prime is 20101331. The reversal of 20101312 is 21310102.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2889 + ... + 6967.

Almost surely, 220101312 is an apocalyptic number.

20101312 is a gapful number since it is divisible by the number (22) 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 20101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24871680).

20101312 is an abundant number, since it is smaller than the sum of its proper divisors (29642048).

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

20101312 is a wasteful number, since it uses less digits than its factorization.

20101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4099 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 20101312 is about 4483.4486726180. The cubic root of 20101312 is about 271.8993283730.

Adding to 20101312 its reverse (21310102), we get a palindrome (41411414).

The spelling of 20101312 in words is "twenty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4079 4928 8158 16316 28553 32632 44869 57106 65264 89738 114212 130528 179476 228424 261056 314083 358952 456848 628166 717904 913696 1256332 1435808 1827392 2512664 2871616 5025328 10050656 20101312