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10420032132 = 2234271111863
BaseRepresentation
bin10011011010001010…
…10001001010000100
3222220012010110220000
421231011101022010
5132320012012012
64441545241300
7516134545266
oct115505211204
928805113800
1010420032132
114467922404
122029793230
13ca0a239b3
1470bc5db36
1540ebcbddc
hex26d151284

10420032132 has 60 divisors (see below), whose sum is σ = 27252367296. Its totient is φ = 3471770160.

The previous prime is 10420032131. The next prime is 10420032143. The reversal of 10420032132 is 23123002401.

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

It is not an unprimeable number, because it can be changed into a prime (10420032131) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 872433 + ... + 884295.

Almost surely, 210420032132 is an apocalyptic number.

10420032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10420032132 is an abundant number, since it is smaller than the sum of its proper divisors (16832335164).

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

10420032132 is a wasteful number, since it uses less digits than its factorization.

10420032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14590 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10420032132 its reverse (23123002401), we get a palindrome (33543034533).

The spelling of 10420032132 in words is "ten billion, four hundred twenty million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2711 5422 8133 10844 11863 16266 23726 24399 32532 35589 47452 48798 71178 73197 97596 106767 142356 146394 213534 219591 292788 320301 427068 439182 640602 878364 960903 1281204 1921806 3843612 32160593 64321186 96481779 128642372 192963558 289445337 385927116 578890674 868336011 1157781348 1736672022 2605008033 3473344044 5210016066 10420032132