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103324041000 = 23325311480449
BaseRepresentation
bin110000000111010010…
…1111011111100101000
3100212200211102010021100
41200032211323330220
53143101423303000
6115244424441400
710315315600065
oct1401645737450
9325624363240
10103324041000
113a901800324
1218037019260
13998838b5cb
1450026d7c6c
152a4ae8aa00
hex180e97bf28

103324041000 has 96 divisors (see below), whose sum is σ = 349235289000. Its totient is φ = 27553075200.

The previous prime is 103324040977. The next prime is 103324041017. The reversal of 103324041000 is 140423301.

103324041000 is a `hidden beast` number, since 10 + 3 + 3 + 240 + 410 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51386542596 + 51937498404 = 226686^2 + 227898^2 .

It is a super-3 number, since 3×1033240410003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5731225 + ... + 5749224.

Almost surely, 2103324041000 is an apocalyptic number.

103324041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103324041000 is an abundant number, since it is smaller than the sum of its proper divisors (245911248000).

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

103324041000 is a wasteful number, since it uses less digits than its factorization.

103324041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11480476 (or 11480459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103324041000 its reverse (140423301), we get a palindrome (103464464301).

The spelling of 103324041000 in words is "one hundred three billion, three hundred twenty-four million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 11480449 22960898 34441347 45921796 57402245 68882694 91843592 103324041 114804490 137765388 172206735 206648082 229608980 275530776 287011225 344413470 413296164 459217960 516620205 574022450 688826940 826592328 861033675 1033240410 1148044900 1377653880 1435056125 1722067350 2066480820 2296089800 2583101025 2870112250 3444134700 4132961640 4305168375 5166202050 5740224500 6888269400 8610336750 10332404100 11480449000 12915505125 17220673500 20664808200 25831010250 34441347000 51662020500 103324041000