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13100004312 = 23347104911071
BaseRepresentation
bin11000011001101001…
…00011001111011000
31020210221222011120220
430030310203033120
5203312100114222
610003522320040
7642426125253
oct141464431730
936727864526
1013100004312
11561267a14a
1226571b9020
13130a017455
148c3b5c09a
1551a107b5c
hex30cd233d8

13100004312 has 64 divisors (see below), whose sum is σ = 33481728000. Its totient is φ = 4269300480.

The previous prime is 13100004301. The next prime is 13100004331. The reversal of 13100004312 is 21340000131.

It is a super-2 number, since 2×131000043122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100004291 and 13100004300.

It is a congruent number.

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, 1177737 + ... + 1188807.

It is an arithmetic number, because the mean of its divisors is an integer number (523152000).

Almost surely, 213100004312 is an apocalyptic number.

13100004312 is a gapful number since it is divisible by the number (12) 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 13100004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740864000).

13100004312 is an abundant number, since it is smaller than the sum of its proper divisors (20381723688).

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

13100004312 is a wasteful number, since it uses less digits than its factorization.

13100004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12176 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13100004312 its reverse (21340000131), we get a palindrome (34440004443).

The spelling of 13100004312 in words is "thirteen billion, one hundred million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1049 1128 2098 3147 4196 6294 8392 11071 12588 22142 25176 33213 44284 49303 66426 88568 98606 132852 147909 197212 265704 295818 394424 520337 591636 1040674 1183272 1561011 2081348 3122022 4162696 6244044 11613479 12488088 23226958 34840437 46453916 69680874 92907832 139361748 278723496 545833513 1091667026 1637500539 2183334052 3275001078 4366668104 6550002156 13100004312