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103451220100 = 22525571857293
BaseRepresentation
bin110000001011000101…
…1000101100010000100
3100220000200201111012101
41200112023011202010
53143332003020400
6115305210401444
710321421601454
oct1402613054204
9326020644171
10103451220100
113a967575918
1218071730284
1399a882a107
145015561d64
152a5720d56a
hex18162c5884

103451220100 has 36 divisors (see below), whose sum is σ = 224892301284. Its totient is φ = 41306174080.

The previous prime is 103451220071. The next prime is 103451220107. The reversal of 103451220100 is 1022154301.

It can be written as a sum of positive squares in 6 ways, for example, as 13441619844 + 90009600256 = 115938^2 + 300016^2 .

It is not an unprimeable number, because it can be changed into a prime (103451220107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 872947 + ... + 984346.

It is an arithmetic number, because the mean of its divisors is an integer number (6247008369).

Almost surely, 2103451220100 is an apocalyptic number.

103451220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103451220100 is an abundant number, since it is smaller than the sum of its proper divisors (121441081184).

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

103451220100 is a wasteful number, since it uses less digits than its factorization.

103451220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857864 (or 1857857 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 103451220100 its reverse (1022154301), we get a palindrome (104473374401).

The spelling of 103451220100 in words is "one hundred three billion, four hundred fifty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 557 1114 2228 2785 5570 11140 13925 27850 55700 1857293 3714586 7429172 9286465 18572930 37145860 46432325 92864650 185729300 1034512201 2069024402 4138048804 5172561005 10345122010 20690244020 25862805025 51725610050 103451220100