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103420143400 = 23527373198047
BaseRepresentation
bin110000001010001010…
…0100010011100101000
3100212221112020121222111
41200110110202130220
53143301024042100
6115302140332104
710320563500030
oct1402424423450
9325845217874
10103420143400
113a950a7a4a2
1218063244034
1399a2269032
1450113928c0
152a546206ba
hex1814522728

103420143400 has 96 divisors (see below), whose sum is σ = 275540221440. Its totient is φ = 35363093760.

The previous prime is 103420143391. The next prime is 103420143413. The reversal of 103420143400 is 4341024301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423177 + ... + 621223.

It is an arithmetic number, because the mean of its divisors is an integer number (2870210640).

Almost surely, 2103420143400 is an apocalyptic number.

103420143400 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 103420143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137770110720).

103420143400 is an abundant number, since it is smaller than the sum of its proper divisors (172120078040).

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

103420143400 is a wasteful number, since it uses less digits than its factorization.

103420143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198443 (or 198434 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 103420143400 its reverse (4341024301), we get a palindrome (107761167701).

The spelling of 103420143400 in words is "one hundred three billion, four hundred twenty million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 373 700 746 1400 1492 1865 2611 2984 3730 5222 7460 9325 10444 13055 14920 18650 20888 26110 37300 52220 65275 74600 104440 130550 198047 261100 396094 522200 792188 990235 1386329 1584376 1980470 2772658 3960940 4951175 5545316 6931645 7921880 9902350 11090632 13863290 19804700 27726580 34658225 39609400 55453160 69316450 73871531 138632900 147743062 277265800 295486124 369357655 517100717 590972248 738715310 1034201434 1477430620 1846788275 2068402868 2585503585 2954861240 3693576550 4136805736 5171007170 7387153100 10342014340 12927517925 14774306200 20684028680 25855035850 51710071700 103420143400