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100442423403000 = 233253719179468781
BaseRepresentation
bin10110110101101000010010…
…111101111010000111111000
3111011122012110012000001201200
4112311220102331322013320
5101131122040342344000
6553342340131414200
730104503613052030
oct2665502275720770
9434565405001650
10100442423403000
112a005435534108
12b3224b8454360
1344078ab9277c3
141ab36213748c0
15b92b107ea500
hex5b5a12f7a1f8

100442423403000 has 768 divisors, whose sum is σ = 410698035072000. Its totient is φ = 21628384128000.

The previous prime is 100442423402989. The next prime is 100442423403017. The reversal of 100442423403000 is 304324244001.

It is a happy number.

100442423403000 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 424 + 234 + 0 + 3 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214028610 + ... + 214497390.

It is an arithmetic number, because the mean of its divisors is an integer number (534763066500).

Almost surely, 2100442423403000 is an apocalyptic number.

100442423403000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100442423403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205349017536000).

100442423403000 is an abundant number, since it is smaller than the sum of its proper divisors (310255611669000).

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

100442423403000 is a wasteful number, since it uses less digits than its factorization.

100442423403000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469013 (or 468996 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 100442423403000 its reverse (304324244001), we get a palindrome (100746747647001).

The spelling of 100442423403000 in words is "one hundred trillion, four hundred forty-two billion, four hundred twenty-three million, four hundred three thousand".