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103534131340 = 225172982712697
BaseRepresentation
bin110000001101100011…
…1010111100010001100
3100220020110201211001001
41200123013113202030
53144014214200330
6115321331430044
710323446411263
oct1403307274214
9326213654031
10103534131340
113a9aa355302
1218095455324
1399bca69613
1450225855da
152a5e6399ca
hex181b1d788c

103534131340 has 96 divisors (see below), whose sum is σ = 238456249920. Its totient is φ = 37585035264.

The previous prime is 103534131313. The next prime is 103534131343. The reversal of 103534131340 is 43131435301.

It is a junction number, because it is equal to n+sod(n) for n = 103534131299 and 103534131308.

It is not an unprimeable number, because it can be changed into a prime (103534131343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8147872 + ... + 8160568.

It is an arithmetic number, because the mean of its divisors is an integer number (2483919270).

Almost surely, 2103534131340 is an apocalyptic number.

103534131340 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 103534131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119228124960).

103534131340 is an abundant number, since it is smaller than the sum of its proper divisors (134922118580).

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

103534131340 is a wasteful number, since it uses less digits than its factorization.

103534131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13579 (or 13577 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 103534131340 its reverse (43131435301), we get a palindrome (146665566641).

The spelling of 103534131340 in words is "one hundred three billion, five hundred thirty-four million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 827 986 1654 1972 2465 3308 4135 4930 8270 9860 12697 14059 16540 23983 25394 28118 47966 50788 56236 63485 70295 95932 119915 126970 140590 215849 239830 253940 281180 368213 407711 431698 479660 736426 815422 863396 1079245 1472852 1630844 1841065 2038555 2158490 3682130 4077110 4316980 6259621 7364260 8154220 10500419 12519242 21000838 25038484 31298105 42001676 52502095 62596210 105004190 125192420 178507123 210008380 304512151 357014246 609024302 714028492 892535615 1218048604 1522560755 1785071230 3045121510 3570142460 5176706567 6090243020 10353413134 20706826268 25883532835 51767065670 103534131340