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103420424320 = 2753147110909
BaseRepresentation
bin110000001010001010…
…1100111000010000000
3100212221112202220022221
41200110111213002000
53143301112034240
6115302150340424
710320566050033
oct1402425470200
9325845686287
10103420424320
113a951151564
121806335a714
1399a2336b65
14501142701a
152a54678a4a
hex1814567080

103420424320 has 128 divisors (see below), whose sum is σ = 260647372800. Its totient is φ = 39181578240.

The previous prime is 103420424299. The next prime is 103420424357. The reversal of 103420424320 is 23424024301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 877026 + ... + 987934.

It is an arithmetic number, because the mean of its divisors is an integer number (2036307600).

Almost surely, 2103420424320 is an apocalyptic number.

103420424320 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 103420424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130323686400).

103420424320 is an abundant number, since it is smaller than the sum of its proper divisors (157226948480).

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

103420424320 is a wasteful number, since it uses less digits than its factorization.

103420424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111006 (or 110994 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 103420424320 its reverse (23424024301), we get a palindrome (126844448621).

The spelling of 103420424320 in words is "one hundred three billion, four hundred twenty million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 47 62 64 80 94 124 128 155 160 188 235 248 310 320 376 470 496 620 640 752 940 992 1240 1457 1504 1880 1984 2480 2914 3008 3760 3968 4960 5828 6016 7285 7520 9920 11656 14570 15040 19840 23312 29140 30080 46624 58280 93248 110909 116560 186496 221818 233120 443636 466240 554545 887272 932480 1109090 1774544 2218180 3438179 3549088 4436360 5212723 6876358 7098176 8872720 10425446 13752716 14196352 17190895 17745440 20850892 26063615 27505432 34381790 35490880 41701784 52127230 55010864 68763580 70981760 83403568 104254460 110021728 137527160 161594413 166807136 208508920 220043456 275054320 323188826 333614272 417017840 440086912 550108640 646377652 667228544 807972065 834035680 1100217280 1292755304 1615944130 1668071360 2200434560 2585510608 3231888260 3336142720 5171021216 6463776520 10342042432 12927553040 20684084864 25855106080 51710212160 103420424320