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10002140014230 = 23257135361377749
BaseRepresentation
bin1001000110001100111000…
…0000001010011010010110
31022102012021100001020110200
42101203032000022122112
52302333340320423410
633134530353001330
72051426232225660
oct221431600123226
938365240036420
1010002140014230
11320697a312421
121156594553246
13577275616530
1426816b433530
151252a2c613c0
hex918ce00a696

10002140014230 has 384 divisors, whose sum is σ = 33145441056000. Its totient is φ = 2036575457280.

The previous prime is 10002140014123. The next prime is 10002140014259. The reversal of 10002140014230 is 3241004120001.

10002140014230 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 21 + 400 + 14 + 230 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26289396 + ... + 26667144.

It is an arithmetic number, because the mean of its divisors is an integer number (86316252750).

Almost surely, 210002140014230 is an apocalyptic number.

10002140014230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002140014230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572720528000).

10002140014230 is an abundant number, since it is smaller than the sum of its proper divisors (23143301041770).

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

10002140014230 is a wasteful number, since it uses less digits than its factorization.

10002140014230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377896 (or 377893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10002140014230 its reverse (3241004120001), we get a palindrome (13243144134231).

The spelling of 10002140014230 in words is "ten trillion, two billion, one hundred forty million, fourteen thousand, two hundred thirty".