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132011010 = 23257173283
BaseRepresentation
bin1111101111001…
…01010000000010
3100012101212001200
413313211100002
5232243323020
621033242030
73162034515
oct767452002
9305355050
10132011010
116857590a
1238263316
1321470c31
1413764d7c
15b8c9590
hex7de5402

132011010 has 96 divisors (see below), whose sum is σ = 354077568. Its totient is φ = 34110720.

The previous prime is 132011003. The next prime is 132011027. The reversal of 132011010 is 10110231.

It is a super-2 number, since 2×1320110102 = 34853813522440200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 132010983 and 132011001.

It is an unprimeable number.

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, 466329 + ... + 466611.

It is an arithmetic number, because the mean of its divisors is an integer number (3688308).

Almost surely, 2132011010 is an apocalyptic number.

132011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177038784).

132011010 is an abundant number, since it is smaller than the sum of its proper divisors (222066558).

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

132011010 is a wasteful number, since it uses less digits than its factorization.

132011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 132011010 is about 11489.6044318332. The cubic root of 132011010 is about 509.1784928839.

Adding to 132011010 its reverse (10110231), we get a palindrome (142121241).

The spelling of 132011010 in words is "one hundred thirty-two million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 73 90 142 146 213 219 283 355 365 426 438 566 639 657 710 730 849 1065 1095 1278 1314 1415 1698 2130 2190 2547 2830 3195 3285 4245 5094 5183 6390 6570 8490 10366 12735 15549 20093 20659 25470 25915 31098 40186 41318 46647 51830 60279 61977 77745 93294 100465 103295 120558 123954 155490 180837 185931 200930 206590 233235 301395 309885 361674 371862 466470 602790 619770 904185 929655 1466789 1808370 1859310 2933578 4400367 7333945 8800734 13201101 14667890 22001835 26402202 44003670 66005505 132011010