Search a number
-
+
12100300032 = 283372691583
BaseRepresentation
bin10110100010011101…
…11110110100000000
31011020021211221010110
423101032332310000
5144240134100112
65320411231320
7605566565442
oct132116766400
934207757113
1012100300032
11514a338567
122418448540
1311aab81a62
1482b08a492
154ac48413c
hex2d13bed00

12100300032 has 144 divisors (see below), whose sum is σ = 33218760960. Its totient is φ = 3907362816.

The previous prime is 12100299997. The next prime is 12100300033. The reversal of 12100300032 is 23000300121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12100299990 and 12100300017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100300033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7643113 + ... + 7644695.

It is an arithmetic number, because the mean of its divisors is an integer number (230685840).

Almost surely, 212100300032 is an apocalyptic number.

12100300032 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 12100300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609380480).

12100300032 is an abundant number, since it is smaller than the sum of its proper divisors (21118460928).

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

12100300032 is a wasteful number, since it uses less digits than its factorization.

12100300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1894 counting only the distinct ones).

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

Adding to 12100300032 its reverse (23000300121), we get a palindrome (35100600153).

The spelling of 12100300032 in words is "twelve billion, one hundred million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 269 296 384 444 538 592 768 807 888 1076 1184 1583 1614 1776 2152 2368 3166 3228 3552 4304 4736 4749 6332 6456 7104 8608 9472 9498 9953 12664 12912 14208 17216 18996 19906 25328 25824 28416 29859 34432 37992 39812 50656 51648 58571 59718 68864 75984 79624 101312 103296 117142 119436 151968 159248 175713 202624 206592 234284 238872 303936 318496 351426 405248 425827 468568 477744 607872 636992 702852 851654 937136 955488 1215744 1273984 1277481 1405704 1703308 1874272 1910976 2547968 2554962 2811408 3406616 3748544 3821952 5109924 5622816 6813232 7497088 7643904 10219848 11245632 13626464 14994176 15755599 20439696 22491264 27252928 31511198 40879392 44982528 47266797 54505856 63022396 81758784 94533594 109011712 126044792 163517568 189067188 252089584 327035136 378134376 504179168 756268752 1008358336 1512537504 2016716672 3025075008 4033433344 6050150016 12100300032