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10423203214032 = 24327251281146609
BaseRepresentation
bin1001011110101101011101…
…0100110011001011010000
31100220110002221202000122200
42113223113110303023100
52331233210010322112
634100204202403200
72124023456326530
oct227532724631320
940813087660580
1010423203214032
113359501533564
121204105800500
135a7b99996bbb
142806b2b9b4c0
151311e88dccdc
hex97ad75332d0

10423203214032 has 240 divisors, whose sum is σ = 33589866360960. Its totient is φ = 2955617280000.

The previous prime is 10423203213883. The next prime is 10423203214103. The reversal of 10423203214032 is 23041230232401.

10423203214032 is a `hidden beast` number, since 1 + 0 + 4 + 232 + 0 + 3 + 21 + 403 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10423203213987 and 10423203214005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71021944 + ... + 71168552.

It is an arithmetic number, because the mean of its divisors is an integer number (139957776504).

Almost surely, 210423203214032 is an apocalyptic number.

10423203214032 is a gapful number since it is divisible by the number (12) 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 10423203214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16794933180480).

10423203214032 is an abundant number, since it is smaller than the sum of its proper divisors (23166663146928).

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

10423203214032 is a wasteful number, since it uses less digits than its factorization.

10423203214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147162 (or 147153 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10423203214032 its reverse (23041230232401), we get a palindrome (33464433446433).

The spelling of 10423203214032 in words is "ten trillion, four hundred twenty-three billion, two hundred three million, two hundred fourteen thousand, thirty-two".