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103314421320 = 233511757103393
BaseRepresentation
bin110000000111000000…
…1001111011001001000
3100212200011022101112220
41200032001033121020
53143041442440240
6115243442334040
710315141043265
oct1401601173110
9325604271486
10103314421320
113a8a732a980
121803395a320
1399863a0ba6
14500131226c
152a4a1da5d0
hex180e04f648

103314421320 has 128 divisors (see below), whose sum is σ = 338569856640. Its totient is φ = 25012592640.

The previous prime is 103314421241. The next prime is 103314421321. The reversal of 103314421320 is 23124413301.

It is a happy number.

103314421320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103314421321) 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, 947544 + ... + 1050936.

It is an arithmetic number, because the mean of its divisors is an integer number (2645077005).

Almost surely, 2103314421320 is an apocalyptic number.

103314421320 is a gapful number since it is divisible by the number (10) 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 103314421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169284928320).

103314421320 is an abundant number, since it is smaller than the sum of its proper divisors (235255435320).

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

103314421320 is a wasteful number, since it uses less digits than its factorization.

103314421320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104175 (or 104171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103314421320 its reverse (23124413301), we get a palindrome (126438834621).

The spelling of 103314421320 in words is "one hundred three billion, three hundred fourteen million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 757 1320 1514 2271 3028 3785 4542 6056 7570 8327 9084 11355 15140 16654 18168 22710 24981 30280 33308 41635 45420 49962 66616 83270 90840 99924 103393 124905 166540 199848 206786 249810 310179 333080 413572 499620 516965 620358 827144 999240 1033930 1137323 1240716 1550895 2067860 2274646 2481432 3101790 3411969 4135720 4549292 5686615 6203580 6823938 9098584 11373230 12407160 13647876 17059845 22746460 27295752 34119690 45492920 68239380 78268501 136478760 156537002 234805503 313074004 391342505 469611006 626148008 782685010 860953511 939222012 1174027515 1565370020 1721907022 1878444024 2348055030 2582860533 3130740040 3443814044 4304767555 4696110060 5165721066 6887628088 8609535110 9392220120 10331442132 12914302665 17219070220 20662884264 25828605330 34438140440 51657210660 103314421320