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103214042412 = 2231310131320929
BaseRepresentation
bin110000000100000001…
…0010100110100101100
3100212102011102121120120
41200020002110310230
53142340243324122
6115225455044540
710312511612355
oct1401002246454
9325364377516
10103214042412
113a8556aa7a8
1218006210750
13996b656aa0
144dd1c62d2c
152a414ad75c
hex1808094d2c

103214042412 has 96 divisors (see below), whose sum is σ = 262775647680. Its totient is φ = 31341772800.

The previous prime is 103214042411. The next prime is 103214042413. The reversal of 103214042412 is 214240412301.

It is an interprime number because it is at equal distance from previous prime (103214042411) and next prime (103214042413).

It is a super-2 number, since 2×1032140424122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103214042411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4921164 + ... + 4942092.

It is an arithmetic number, because the mean of its divisors is an integer number (2737246330).

Almost surely, 2103214042412 is an apocalyptic number.

103214042412 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 103214042412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131387823840).

103214042412 is an abundant number, since it is smaller than the sum of its proper divisors (159561605268).

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

103214042412 is a wasteful number, since it uses less digits than its factorization.

103214042412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21363 (or 21361 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 103214042412 its reverse (214240412301), we get a palindrome (317454454713).

The spelling of 103214042412 in words is "one hundred three billion, two hundred fourteen million, forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 313 404 606 626 939 1212 1252 1313 1878 2626 3756 3939 4069 5252 7878 8138 12207 15756 16276 20929 24414 31613 41858 48828 62787 63226 83716 94839 125574 126452 189678 251148 272077 379356 410969 544154 816231 821938 1088308 1232907 1632462 1643876 2113829 2465814 3264924 4227658 4931628 6341487 6550777 8455316 12682974 13101554 19652331 25365948 26203108 27479777 39304662 54959554 78609324 82439331 85160101 109919108 164878662 170320202 255480303 329757324 340640404 510960606 661628477 1021921212 1323256954 1984885431 2646513908 3969770862 7939541724 8601170201 17202340402 25803510603 34404680804 51607021206 103214042412