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132211112020 = 225131979338777
BaseRepresentation
bin111101100100001100…
…1010111100001010100
3110122021000112101002121
41323020121113201110
54131232021041040
6140423102545324
712360212624041
oct1731031274124
9418230471077
10132211112020
11510857a9339
1221759298244
13c60ccc6c40
146582dda1c8
15368c027c4a
hex1ec8657854

132211112020 has 96 divisors (see below), whose sum is σ = 318722342400. Its totient is φ = 45661584384.

The previous prime is 132211112003. The next prime is 132211112023. The reversal of 132211112020 is 20211112231.

It is a junction number, because it is equal to n+sod(n) for n = 132211111985 and 132211112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211112023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220872 + ... + 559648.

It is an arithmetic number, because the mean of its divisors is an integer number (3320024400).

Almost surely, 2132211112020 is an apocalyptic number.

132211112020 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 132211112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159361171200).

132211112020 is an abundant number, since it is smaller than the sum of its proper divisors (186511230380).

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

132211112020 is a wasteful number, since it uses less digits than its factorization.

132211112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338897 (or 338895 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 132211112020 its reverse (20211112231), we get a palindrome (152422224251).

The spelling of 132211112020 in words is "one hundred thirty-two billion, two hundred eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 79 95 130 158 190 247 260 316 380 395 494 790 988 1027 1235 1501 1580 2054 2470 3002 4108 4940 5135 6004 7505 10270 15010 19513 20540 30020 39026 78052 97565 195130 338777 390260 677554 1355108 1693885 3387770 4404101 6436763 6775540 8808202 12873526 17616404 22020505 25747052 26763383 32183815 44041010 53526766 64367630 83677919 88082020 107053532 128735260 133816915 167355838 267633830 334711676 347923979 418389595 508504277 535267660 695847958 836779190 1017008554 1391695916 1673558380 1739619895 2034017108 2542521385 3479239790 5085042770 6610555601 6958479580 10170085540 13221111202 26442222404 33052778005 66105556010 132211112020