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103434333300 = 223252114927037
BaseRepresentation
bin110000001010100101…
…0101010110001110100
3100212222111221112212100
41200111022222301310
53143313142131200
6115303404422100
710321125220014
oct1402512526164
9325874845770
10103434333300
113a958a91591
1218067b47930
1399a5196a1c
145013207c44
152a559c4d00
hex18152aac74

103434333300 has 54 divisors (see below), whose sum is σ = 324209174198. Its totient is φ = 27582488640.

The previous prime is 103434333283. The next prime is 103434333313. The reversal of 103434333300 is 3333434301.

103434333300 is a `hidden beast` number, since 10 + 3 + 4 + 343 + 3 + 3 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 54756 + 103434278544 = 234^2 + 321612^2 .

It is a super-2 number, since 2×1034343333002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57462619 + ... + 57464418.

Almost surely, 2103434333300 is an apocalyptic number.

103434333300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103434333300 is an abundant number, since it is smaller than the sum of its proper divisors (220774840898).

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

103434333300 is a wasteful number, since it uses less digits than its factorization.

103434333300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114927057 (or 114927047 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 103434333300 its reverse (3333434301), we get a palindrome (106767767601).

The spelling of 103434333300 in words is "one hundred three billion, four hundred thirty-four million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 114927037 229854074 344781111 459708148 574635185 689562222 1034343333 1149270370 1379124444 1723905555 2068686666 2298540740 2873175925 3447811110 4137373332 5171716665 5746351850 6895622220 8619527775 10343433330 11492703700 17239055550 20686866660 25858583325 34478111100 51717166650 103434333300