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20103132 = 22372179191
BaseRepresentation
bin100110010101…
…1111111011100
31101211100022110
41030223333130
520121300012
61554514020
7332605500
oct114537734
941740273
1020103132
1110390865
126895910
13421b35a
142954300
151b7173c
hex132bfdc

20103132 has 72 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 5681760.

The previous prime is 20103113. The next prime is 20103137. The reversal of 20103132 is 23130102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20103137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105157 + ... + 105347.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 220103132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

20103132 is an abundant number, since it is smaller than the sum of its proper divisors (35054628).

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

20103132 is a wasteful number, since it uses less digits than its factorization.

20103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20103132 is about 4483.6516367800. The cubic root of 20103132 is about 271.9075341698.

Adding to 20103132 its reverse (23130102), we get a palindrome (43233234).

The spelling of 20103132 in words is "twenty million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 179 191 196 294 358 382 537 573 588 716 764 1074 1146 1253 1337 2148 2292 2506 2674 3759 4011 5012 5348 7518 8022 8771 9359 15036 16044 17542 18718 26313 28077 34189 35084 37436 52626 56154 68378 102567 105252 112308 136756 205134 239323 410268 478646 717969 957292 1435938 1675261 2871876 3350522 5025783 6701044 10051566 20103132