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32011012220 = 225112232232579
BaseRepresentation
bin11101110100000000…
…010100100001111100
310001121220100220112012
4131310000110201330
51011024304342340
622412231030352
72212156054145
oct356400244174
9101556326465
1032011012220
1112637422300
12625450b3b8
133031bc6965
14179956cacc
15c75464565
hex77401487c

32011012220 has 144 divisors (see below), whose sum is σ = 77478266880. Its totient is φ = 11080037760.

The previous prime is 32011012219. The next prime is 32011012237. The reversal of 32011012220 is 2221011023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32011012195 and 32011012204.

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, 12410891 + ... + 12413469.

It is an arithmetic number, because the mean of its divisors is an integer number (538043520).

Almost surely, 232011012220 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 32011012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38739133440).

32011012220 is an abundant number, since it is smaller than the sum of its proper divisors (45467254660).

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

32011012220 is a wasteful number, since it uses less digits than its factorization.

32011012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 32011012220 its reverse (2221011023), we get a palindrome (34232023243).

The spelling of 32011012220 in words is "thirty-two billion, eleven million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 223 230 242 253 446 460 484 506 605 892 1012 1115 1210 1265 2230 2420 2453 2530 2579 2783 4460 4906 5060 5129 5158 5566 9812 10258 10316 11132 12265 12895 13915 20516 24530 25645 25790 26983 27830 28369 49060 51290 51580 53966 55660 56419 56738 59317 102580 107932 112838 113476 118634 134915 141845 225676 237268 269830 282095 283690 296585 312059 539660 564190 567380 575117 593170 620609 624118 652487 1128380 1150234 1186340 1241218 1248236 1304974 1560295 2300468 2482436 2609948 2875585 3103045 3120590 3262435 5751170 6206090 6241180 6326287 6524870 7177357 11502340 12412180 12652574 13049740 13227691 14354714 25305148 26455382 28709428 31631435 35886785 52910764 63262870 66138455 69589157 71773570 126525740 132276910 139178314 143547140 145504601 264553820 278356628 291009202 347945785 582018404 695891570 727523005 1391783140 1455046010 1600550611 2910092020 3201101222 6402202444 8002753055 16005506110 32011012220