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12100220132 = 227211133531223
BaseRepresentation
bin10110100010011101…
…01011010011100100
31011020021200212112012
423101032223103210
5144240124021012
65320405413352
7605566113500
oct132116532344
934207625465
1012100220132
11514a293530
12241840a258
1311aab54590
1482b069300
154ac46a622
hex2d13ab4e4

12100220132 has 144 divisors (see below), whose sum is σ = 29044697472. Its totient is φ = 4335851520.

The previous prime is 12100220131. The next prime is 12100220141. The reversal of 12100220132 is 23102200121.

It is a happy number.

12100220132 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 not an unprimeable number, because it can be changed into a prime (12100220131) 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 47 ways as a sum of consecutive naturals, for example, 9893273 + ... + 9894495.

It is an arithmetic number, because the mean of its divisors is an integer number (201699288).

Almost surely, 212100220132 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 12100220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522348736).

12100220132 is an abundant number, since it is smaller than the sum of its proper divisors (16944477340).

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

12100220132 is a wasteful number, since it uses less digits than its factorization.

12100220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12100220132 its reverse (23102200121), we get a palindrome (35202420253).

It can be divided in two parts, 12100 and 220132, that added together give a palindrome (232232).

The spelling of 12100220132 in words is "twelve billion, one hundred million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 353 364 539 572 637 706 1001 1078 1223 1274 1412 2002 2156 2446 2471 2548 3883 4004 4589 4892 4942 7007 7766 8561 9178 9884 13453 14014 15532 15899 17122 17297 18356 26906 27181 28028 31798 32123 34244 34594 50479 53812 54362 59927 63596 64246 69188 94171 100958 108724 111293 119854 128492 174889 188342 190267 201916 222586 224861 239708 349778 353353 376684 380534 431719 445172 449722 659197 699556 706706 761068 779051 863438 899444 1224223 1318394 1413412 1558102 1726876 2448446 2473471 2636788 3022033 3116204 4748909 4896892 4946942 5612347 6044066 8569561 9497818 9893884 11224694 12088132 17139122 18995636 21154231 22449388 33242363 34278244 39286429 42308462 61735817 66484726 78572858 84616924 123471634 132969452 157145716 232696541 246943268 275005003 432150719 465393082 550010006 864301438 930786164 1100020012 1728602876 3025055033 6050110066 12100220132