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13012020312 = 2334777314923
BaseRepresentation
bin11000001111001001…
…11010110001011000
31020120211102010020020
430013210322301120
5203122034122222
65551100430440
7640310230164
oct140744726130
936524363206
1013012020312
115577a454a5
122631848420
1312c4a20005
148b61b7ca4
1551252865c
hex30793ac58

13012020312 has 64 divisors (see below), whose sum is σ = 33267386880. Its totient is φ = 4239280512.

The previous prime is 13012020311. The next prime is 13012020313. The reversal of 13012020312 is 21302021031.

It is an interprime number because it is at equal distance from previous prime (13012020311) and next prime (13012020313).

It is a junction number, because it is equal to n+sod(n) for n = 13012020291 and 13012020300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012020311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864483 + ... + 879405.

It is an arithmetic number, because the mean of its divisors is an integer number (519802920).

Almost surely, 213012020312 is an apocalyptic number.

13012020312 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 13012020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16633693440).

13012020312 is an abundant number, since it is smaller than the sum of its proper divisors (20255366568).

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

13012020312 is a wasteful number, since it uses less digits than its factorization.

13012020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15752 (or 15748 counting only the distinct ones).

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

Adding to 13012020312 its reverse (21302021031), we get a palindrome (34314041343).

The spelling of 13012020312 in words is "thirteen billion, twelve million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 773 1128 1546 2319 3092 4638 6184 9276 14923 18552 29846 36331 44769 59692 72662 89538 108993 119384 145324 179076 217986 290648 358152 435972 701381 871944 1402762 2104143 2805524 4208286 5611048 8416572 11535479 16833144 23070958 34606437 46141916 69212874 92283832 138425748 276851496 542167513 1084335026 1626502539 2168670052 3253005078 4337340104 6506010156 13012020312