Search a number
-
+
103446041380 = 225114173157103
BaseRepresentation
bin110000001010111011…
…1010101001100100100
3100220000022222101022221
41200111313111030210
53143324141311010
6115304503402124
710321326562243
oct1402567251444
9326008871287
10103446041380
113a964658a90
121806ba53344
1399a7735b96
1450149b495a
152a56a38dda
hex1815dd5324

103446041380 has 96 divisors (see below), whose sum is σ = 246092732928. Its totient is φ = 36196300800.

The previous prime is 103446041311. The next prime is 103446041411. The reversal of 103446041380 is 83140644301.

It is an unprimeable number.

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, 579909 + ... + 737011.

It is an arithmetic number, because the mean of its divisors is an integer number (2563465968).

Almost surely, 2103446041380 is an apocalyptic number.

103446041380 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 103446041380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123046366464).

103446041380 is an abundant number, since it is smaller than the sum of its proper divisors (142646691548).

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

103446041380 is a wasteful number, since it uses less digits than its factorization.

103446041380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157237 (or 157235 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 103446041380 its reverse (83140644301), we get a palindrome (186586685681).

The spelling of 103446041380 in words is "one hundred three billion, four hundred forty-six million, forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 73 82 110 146 164 205 220 292 365 410 451 730 803 820 902 1460 1606 1804 2255 2993 3212 4015 4510 5986 8030 9020 11972 14965 16060 29930 32923 59860 65846 131692 157103 164615 314206 329230 628412 658460 785515 1571030 1728133 3142060 3456266 6441223 6912532 8640665 11468519 12882446 17281330 22937038 25764892 32206115 34562660 45874076 57342595 64412230 70853453 114685190 126153709 128824460 141706906 229370380 252307418 283413812 354267265 470209279 504614836 630768545 708534530 940418558 1261537090 1417069060 1880837116 2351046395 2523074180 4702092790 5172302069 9404185580 10344604138 20689208276 25861510345 51723020690 103446041380