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3000100332000 = 25353250008361
BaseRepresentation
bin101011101010000011111…
…010100010000111100000
3101121210210011001200002010
4223222003322202013200
5343123201141111000
610214121013552520
7426515166031152
oct53520372420740
911553704050063
103000100332000
11a57376474692
12405533645740
13189ba655b855
14a52c4372ad2
155308d461d50
hex2ba83ea21e0

3000100332000 has 96 divisors (see below), whose sum is σ = 9828328726944. Its totient is φ = 800026752000.

The previous prime is 3000100331981. The next prime is 3000100332029. The reversal of 3000100332000 is 2330010003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 124992181 + ... + 125016180.

It is an arithmetic number, because the mean of its divisors is an integer number (102378424239).

Almost surely, 23000100332000 is an apocalyptic number.

3000100332000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000100332000 is an abundant number, since it is smaller than the sum of its proper divisors (6828228394944).

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

3000100332000 is a wasteful number, since it uses less digits than its factorization.

3000100332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250008389 (or 250008371 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 3000100332000 its reverse (2330010003), we get a palindrome (3002430342003).

It can be divided in two parts, 30001003 and 32000, that added together give a palindrome (30033003).

The spelling of 3000100332000 in words is "three trillion, one hundred million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 250008361 500016722 750025083 1000033444 1250041805 1500050166 2000066888 2500083610 3000100332 3750125415 4000133776 5000167220 6000200664 6250209025 7500250830 8000267552 10000334440 12000401328 12500418050 15000501660 18750627075 20000668880 24000802656 25000836100 30001003320 31251045125 37501254150 40001337760 50001672200 60002006640 62502090250 75002508300 93753135375 100003344400 120004013280 125004180500 150005016600 187506270750 200006688800 250008361000 300010033200 375012541500 500016722000 600020066400 750025083000 1000033444000 1500050166000 3000100332000