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21412012000 = 255319281737
BaseRepresentation
bin10011111100010000…
…010101111111100000
32001021020110220120111
4103330100111333200
5322322433341000
613500405421104
71355416045651
oct237420257740
961236426514
1021412012000
119098582595
124196a0a794
1320330a09b2
141071a43528
15854bd4cba
hex4fc415fe0

21412012000 has 96 divisors (see below), whose sum is σ = 55378421280. Its totient is φ = 8113996800.

The previous prime is 21412011977. The next prime is 21412012001. The reversal of 21412012000 is 21021412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21412012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64869 + ... + 216868.

It is an arithmetic number, because the mean of its divisors is an integer number (576858555).

Almost surely, 221412012000 is an apocalyptic number.

21412012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21412012000 is an abundant number, since it is smaller than the sum of its proper divisors (33966409280).

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

21412012000 is a wasteful number, since it uses less digits than its factorization.

21412012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281781 (or 281763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21412012000 its reverse (21021412), we get a palindrome (21433033412).

The spelling of 21412012000 in words is "twenty-one billion, four hundred twelve million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000 281737 563474 1126948 1408685 2253896 2817370 4507792 5353003 5634740 7043425 9015584 10706006 11269480 14086850 21412012 22538960 26765015 28173700 35217125 42824024 45077920 53530030 56347400 70434250 85648048 107060060 112694800 133825075 140868500 171296096 214120120 225389600 267650150 281737000 428240240 535300300 563474000 669125375 856480480 1070600600 1126948000 1338250750 2141201200 2676501500 4282402400 5353003000 10706006000 21412012000