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10214123024 = 247547716651
BaseRepresentation
bin10011000001100111…
…10010011000010000
3222100211200012200202
421200303302120100
5131404303414044
64405312034332
7511054420220
oct114063623020
928324605622
1010214123024
114371673896
121b908329a8
13c6a17aba1
146cc780080
153ebaa6c4e
hex260cf2610

10214123024 has 40 divisors (see below), whose sum is σ = 22622474688. Its totient is φ = 4376419200.

The previous prime is 10214122987. The next prime is 10214123041. The reversal of 10214123024 is 42032141201.

It is a junction number, because it is equal to n+sod(n) for n = 10214122987 and 10214123005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605099 + ... + 621749.

Almost surely, 210214123024 is an apocalyptic number.

10214123024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10214123024 is an abundant number, since it is smaller than the sum of its proper divisors (12408351664).

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

10214123024 is a wasteful number, since it uses less digits than its factorization.

10214123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22143 (or 22137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10214123024 its reverse (42032141201), we get a palindrome (52246264225).

The spelling of 10214123024 in words is "ten billion, two hundred fourteen million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 5477 10954 16651 21908 33302 38339 43816 66604 76678 87632 116557 133208 153356 233114 266416 306712 466228 613424 932456 1864912 91197527 182395054 364790108 638382689 729580216 1276765378 1459160432 2553530756 5107061512 10214123024