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30021132000 = 253532501761
BaseRepresentation
bin11011111101011001…
…100001111011100000
32212111020001112000210
4123331121201323200
5442440402211000
621442545014120
72111644261116
oct337531417340
985436045023
1030021132000
11118061678a2
12599a024340
132aa5883842
14164b189ab6
15baa900350
hex6fd661ee0

30021132000 has 96 divisors (see below), whose sum is σ = 98349267744. Its totient is φ = 8005632000.

The previous prime is 30021131993. The next prime is 30021132059. The reversal of 30021132000 is 23112003.

It is a happy number.

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

It is a super-2 number, since 2×300211320002 (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238881 + ... + 1262880.

It is an arithmetic number, because the mean of its divisors is an integer number (1024471539).

Almost surely, 230021132000 is an apocalyptic number.

30021132000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30021132000 is an abundant number, since it is smaller than the sum of its proper divisors (68328135744).

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

30021132000 is a wasteful number, since it uses less digits than its factorization.

30021132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501789 (or 2501771 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30021132000 its reverse (23112003), we get a palindrome (30044244003).

The spelling of 30021132000 in words is "thirty billion, twenty-one million, one 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 2501761 5003522 7505283 10007044 12508805 15010566 20014088 25017610 30021132 37526415 40028176 50035220 60042264 62544025 75052830 80056352 100070440 120084528 125088050 150105660 187632075 200140880 240169056 250176100 300211320 312720125 375264150 400281760 500352200 600422640 625440250 750528300 938160375 1000704400 1200845280 1250880500 1501056600 1876320750 2001408800 2501761000 3002113200 3752641500 5003522000 6004226400 7505283000 10007044000 15010566000 30021132000