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214023133400 = 235210710001081
BaseRepresentation
bin1100011101010011000…
…1011101100011011000
3202110102122021200010112
43013110301131203120
512001304410232100
6242153150303452
721314456421566
oct3072461354330
9673378250115
10214023133400
118284852a94a
123558bab7b88
131724a66a74b
14a50469aa36
155879626b35
hex31d4c5d8d8

214023133400 has 48 divisors (see below), whose sum is σ = 502254338040. Its totient is φ = 84809158400.

The previous prime is 214023133361. The next prime is 214023133453. The reversal of 214023133400 is 4331320412.

214023133400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 4979141 + ... + 5021940.

Almost surely, 2214023133400 is an apocalyptic number.

214023133400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214023133400 is an abundant number, since it is smaller than the sum of its proper divisors (288231204640).

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

214023133400 is a wasteful number, since it uses less digits than its factorization.

214023133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001204 (or 10001195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 214023133400 its reverse (4331320412), we get a palindrome (218354453812).

The spelling of 214023133400 in words is "two hundred fourteen billion, twenty-three million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 10700 21400 10001081 20002162 40004324 50005405 80008648 100010810 200021620 250027025 400043240 500054050 1000108100 1070115667 2000216200 2140231334 4280462668 5350578335 8560925336 10701156670 21402313340 26752891675 42804626680 53505783350 107011566700 214023133400