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132022202020 = 22523283150343
BaseRepresentation
bin111101011110100100…
…0101110111010100100
3110121202212001202021221
41322331020232322210
54130340140431040
6140352233550124
712352430126032
oct1727510567244
9417685052257
10132022202020
1150a99100475
1221705b75344
13c5acb23687
146565ca3552
15367a65e74a
hex1ebd22eea4

132022202020 has 72 divisors (see below), whose sum is σ = 293318738496. Its totient is φ = 49903922112.

The previous prime is 132022201999. The next prime is 132022202029. The reversal of 132022202020 is 20202220231.

It is a junction number, because it is equal to n+sod(n) for n = 132022201985 and 132022202003.

It is not an unprimeable number, because it can be changed into a prime (132022202029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802969 + ... + 953311.

It is an arithmetic number, because the mean of its divisors is an integer number (4073871368).

Almost surely, 2132022202020 is an apocalyptic number.

132022202020 is a gapful number since it is divisible by the number (10) 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 132022202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146659369248).

132022202020 is an abundant number, since it is smaller than the sum of its proper divisors (161296536476).

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

132022202020 is a wasteful number, since it uses less digits than its factorization.

132022202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150481 (or 150456 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 132022202020 its reverse (20202220231), we get a palindrome (152224422251).

The spelling of 132022202020 in words is "one hundred thirty-two billion, twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 529 830 1058 1660 1909 2116 2645 3818 5290 7636 9545 10580 19090 38180 43907 87814 150343 175628 219535 300686 439070 601372 751715 878140 1503430 3006860 3457889 6915778 12478469 13831556 17289445 24956938 34578890 49913876 62392345 69157780 79531447 124784690 159062894 249569380 287004787 318125788 397657235 574009574 795314470 1148019148 1435023935 1590628940 2870047870 5740095740 6601110101 13202220202 26404440404 33005550505 66011101010 132022202020