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103340404320 = 25351012131609
BaseRepresentation
bin110000000111110010…
…0010110111001100000
3100212201222012110112020
41200033210112321200
53143120120414240
6115250211301440
710315604641416
oct1401744267140
9325658173466
10103340404320
113a90aa6732a
12180405aa880
13998b89a64a
1450049572b6
152a4c61e0d0
hex180f916e60

103340404320 has 96 divisors (see below), whose sum is σ = 328745420640. Its totient is φ = 27284582400.

The previous prime is 103340404313. The next prime is 103340404327. The reversal of 103340404320 is 23404043301.

It is an interprime number because it is at equal distance from previous prime (103340404313) and next prime (103340404327).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103340404327) 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, 1017325 + ... + 1114284.

It is an arithmetic number, because the mean of its divisors is an integer number (3424431465).

Almost surely, 2103340404320 is an apocalyptic number.

103340404320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103340404320 is an abundant number, since it is smaller than the sum of its proper divisors (225405016320).

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

103340404320 is a wasteful number, since it uses less digits than its factorization.

103340404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131728 (or 2131720 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103340404320 its reverse (23404043301), we get a palindrome (126744447621).

The spelling of 103340404320 in words is "one hundred three billion, three hundred forty million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 8080 9696 12120 16160 24240 48480 2131609 4263218 6394827 8526436 10658045 12789654 17052872 21316090 25579308 31974135 34105744 42632180 51158616 63948270 68211488 85264360 102317232 127896540 170528720 204634464 215292509 255793080 341057440 430585018 511586160 645877527 861170036 1023172320 1076462545 1291755054 1722340072 2152925090 2583510108 3229387635 3444680144 4305850180 5167020216 6458775270 6889360288 8611700360 10334040432 12917550540 17223400720 20668080864 25835101080 34446801440 51670202160 103340404320