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103203024100 = 225211463202637
BaseRepresentation
bin110000000011101100…
…0010010110011100100
3100212101101200211021221
41200013120102303210
53142324433232400
6115224422550124
710312316142121
oct1400730226344
9325341624257
10103203024100
113a84a464560
1218002598344
139969299887
144dd05d5748
152a40533c1a
hex1807612ce4

103203024100 has 72 divisors (see below), whose sum is σ = 244838579328. Its totient is φ = 37447132800.

The previous prime is 103203024073. The next prime is 103203024131. The reversal of 103203024100 is 1420302301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407982 + ... + 610618.

It is an arithmetic number, because the mean of its divisors is an integer number (3400535824).

Almost surely, 2103203024100 is an apocalyptic number.

103203024100 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 103203024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122419289664).

103203024100 is an abundant number, since it is smaller than the sum of its proper divisors (141635555228).

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

103203024100 is a wasteful number, since it uses less digits than its factorization.

103203024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203125 (or 203118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103203024100 its reverse (1420302301), we get a palindrome (104623326401).

The spelling of 103203024100 in words is "one hundred three billion, two hundred three million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 463 550 926 1100 1852 2315 4630 5093 9260 10186 11575 20372 23150 25465 46300 50930 101860 127325 202637 254650 405274 509300 810548 1013185 2026370 2229007 4052740 4458014 5065925 8916028 10131850 11145035 20263700 22290070 44580140 55725175 93820931 111450350 187641862 222900700 375283724 469104655 938209310 1032030241 1876418620 2064060482 2345523275 4128120964 4691046550 5160151205 9382093100 10320302410 20640604820 25800756025 51601512050 103203024100