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1001132132 = 22721113231553
BaseRepresentation
bin111011101011000…
…001000001100100
32120202210210002212
4323223001001210
54022242212012
6243201422552
733544324400
oct7353010144
92522723085
101001132132
11474127430
1223b33aa58
1312c5455a0
1496d64100
155cd56b22
hex3bac1064

1001132132 has 144 divisors (see below), whose sum is σ = 2500025472. Its totient is φ = 344171520.

The previous prime is 1001132131. The next prime is 1001132141. The reversal of 1001132132 is 2312311001.

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 (1001132131) 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 47 ways as a sum of consecutive naturals, for example, 643868 + ... + 645420.

It is an arithmetic number, because the mean of its divisors is an integer number (17361288).

Almost surely, 21001132132 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 1001132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250012736).

1001132132 is an abundant number, since it is smaller than the sum of its proper divisors (1498893340).

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

1001132132 is a wasteful number, since it uses less digits than its factorization.

1001132132 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 36, while the sum is 14.

The square root of 1001132132 is about 31640.6721167550. The cubic root of 1001132132 is about 1000.3772350092.

Adding to 1001132132 its reverse (2312311001), we get a palindrome (3313443133).

The spelling of 1001132132 in words is "one billion, one million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 23 26 28 44 46 49 52 77 91 92 98 143 154 161 182 196 253 286 299 308 322 364 506 539 572 598 637 644 1001 1012 1078 1127 1196 1274 1553 1771 2002 2093 2156 2254 2548 3106 3289 3542 4004 4186 4508 6212 6578 7007 7084 8372 10871 12397 13156 14014 14651 17083 20189 21742 23023 24794 28028 29302 34166 35719 40378 43484 46046 49588 58604 68332 71438 76097 80756 92092 119581 141323 142876 152194 161161 222079 239162 250033 282646 304388 322322 392909 444158 464347 478324 500066 565292 644644 785818 837067 888316 928694 989261 1000132 1554553 1571636 1674134 1750231 1857388 1978522 2750363 3109106 3250429 3348268 3500462 3957044 5107817 5500726 6218212 6500858 7000924 10215634 10881871 11001452 13001716 19252541 20431268 21763742 22753003 35754719 38505082 43527484 45506006 71509438 77010164 91012012 143018876 250283033 500566066 1001132132