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132202221030 = 232511643207679
BaseRepresentation
bin111101100011111011…
…1011100110111100110
3110122020101210122221200
41323013313130313212
54131222232033110
6140422144223330
712360044223555
oct1730767346746
9418211718850
10132202221030
1151080786410
122175630ab46
13c60b2030b9
146581b63d9c
15368b36d6c0
hex1ec7ddcde6

132202221030 has 96 divisors (see below), whose sum is σ = 375558543360. Its totient is φ = 31999026240.

The previous prime is 132202221007. The next prime is 132202221079. The reversal of 132202221030 is 30122202231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132202220994 and 132202221012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532731 + ... + 740409.

It is an arithmetic number, because the mean of its divisors is an integer number (3912068160).

Almost surely, 2132202221030 is an apocalyptic number.

132202221030 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 132202221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187779271680).

132202221030 is an abundant number, since it is smaller than the sum of its proper divisors (243356322330).

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

132202221030 is a wasteful number, since it uses less digits than its factorization.

132202221030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208346 (or 208343 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132202221030 its reverse (30122202231), we get a palindrome (162324423261).

The spelling of 132202221030 in words is "one hundred thirty-two billion, two hundred two million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 643 990 1286 1929 3215 3858 5787 6430 7073 9645 11574 14146 19290 21219 28935 35365 42438 57870 63657 70730 106095 127314 207679 212190 318285 415358 623037 636570 1038395 1246074 1869111 2076790 2284469 3115185 3738222 4568938 6230370 6853407 9345555 11422345 13706814 18691110 20560221 22844690 34267035 41120442 68534070 102801105 133537597 205602210 267075194 400612791 667687985 801225582 1201838373 1335375970 1468913567 2003063955 2403676746 2937827134 4006127910 4406740701 6009191865 7344567835 8813481402 12018383730 13220222103 14689135670 22033703505 26440444206 44067407010 66101110515 132202221030