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12032103020 = 22571910094483
BaseRepresentation
bin10110011010010101…
…10101001001101100
31011001112112011102012
423031022311021230
5144120204244040
65305533420352
7604111121360
oct131512651154
934045464365
1012032103020
1151148990a3
1223b963a6b8
1311999c4ab2
14821db72a0
154a64b2865
hex2cd2b526c

12032103020 has 96 divisors (see below), whose sum is σ = 30433804800. Its totient is φ = 3903427584.

The previous prime is 12032103011. The next prime is 12032103023. The reversal of 12032103020 is 2030123021.

It is a happy number.

12032103020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12032102986 and 12032103004.

It is not an unprimeable number, because it can be changed into a prime (12032103023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2681699 + ... + 2686181.

It is an arithmetic number, because the mean of its divisors is an integer number (317018800).

Almost surely, 212032103020 is an apocalyptic number.

12032103020 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 12032103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216902400).

12032103020 is an abundant number, since it is smaller than the sum of its proper divisors (18401701780).

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

12032103020 is a wasteful number, since it uses less digits than its factorization.

12032103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12032103020 its reverse (2030123021), we get a palindrome (14062226041).

The spelling of 12032103020 in words is "twelve billion, thirty-two million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1009 1330 2018 2660 4036 4483 5045 7063 8966 10090 14126 17932 19171 20180 22415 28252 31381 35315 38342 44830 62762 70630 76684 85177 89660 95855 125524 134197 141260 156905 170354 191710 268394 313810 340708 383420 425885 536788 596239 627620 670985 851770 1192478 1341970 1703540 2384956 2683940 2981195 4523347 5962390 9046694 11924780 18093388 22616735 31663429 45233470 63326858 85943593 90466940 126653716 158317145 171887186 316634290 343774372 429717965 601605151 633268580 859435930 1203210302 1718871860 2406420604 3008025755 6016051510 12032103020