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545450130100 = 225240923935573
BaseRepresentation
bin1111110111111110101…
…11000111101010110100
31221010220100122112201101
413323333113013222310
532414040213130400
61054324253135444
754256522415311
oct7737727075264
91833810575641
10545450130100
111a0362418997
128986618a584
133c5883a2b95
141c585585d08
15e2c5d3856a
hex7eff5c7ab4

545450130100 has 72 divisors (see below), whose sum is σ = 1187229559320. Its totient is φ = 217516615680.

The previous prime is 545450130053. The next prime is 545450130101. The reversal of 545450130100 is 1031054545.

It can be written as a sum of positive squares in 12 ways, for example, as 334405445284 + 211044684816 = 578278^2 + 459396^2 .

It is a super-2 number, since 2×5454501301002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545450130101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97870914 + ... + 97876486.

It is an arithmetic number, because the mean of its divisors is an integer number (16489299435).

Almost surely, 2545450130100 is an apocalyptic number.

545450130100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

545450130100 is an abundant number, since it is smaller than the sum of its proper divisors (641779429220).

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

545450130100 is a wasteful number, since it uses less digits than its factorization.

545450130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 545450130100 its reverse (1031054545), we get a palindrome (546481184645).

The spelling of 545450130100 in words is "five hundred forty-five billion, four hundred fifty million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2045 2393 4090 4786 5573 8180 9572 10225 11146 11965 20450 22292 23930 27865 40900 47860 55730 59825 111460 119650 139325 239300 278650 557300 978737 1957474 2279357 3914948 4558714 4893685 9117428 9787370 11396785 13336189 19574740 22793570 24468425 26672378 45587140 48936850 53344756 56983925 66680945 97873700 113967850 133361890 227935700 266723780 333404725 666809450 1333618900 5454501301 10909002602 21818005204 27272506505 54545013010 109090026020 136362532525 272725065050 545450130100