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220130210032 = 24193727976997
BaseRepresentation
bin1100110100000011001…
…0000111000011110000
3210001012020211022022221
43031000302013003300
512101311313210112
6245043150210424
721622013624665
oct3150062070360
9701166738287
10220130210032
11853a1845a17
12367b51b3a14
13179b1987065
14a9237bda6c
155ad5860e07
hex3340c870f0

220130210032 has 80 divisors (see below), whose sum is σ = 461314318240. Its totient is φ = 101403270144.

The previous prime is 220130210009. The next prime is 220130210057. The reversal of 220130210032 is 230012031022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220130209988 and 220130210015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31457158 + ... + 31464154.

It is an arithmetic number, because the mean of its divisors is an integer number (5766428978).

Almost surely, 2220130210032 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 220130210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230657159120).

220130210032 is an abundant number, since it is smaller than the sum of its proper divisors (241184108208).

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

220130210032 is a wasteful number, since it uses less digits than its factorization.

220130210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220130210032 its reverse (230012031022), we get a palindrome (450142241054).

The spelling of 220130210032 in words is "two hundred twenty billion, one hundred thirty million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 592 703 1406 2797 2812 5594 5624 6997 11188 11248 13994 22376 27988 44752 53143 55976 103489 106286 111952 132943 206978 212572 258889 265886 413956 425144 517778 531772 827912 850288 1035556 1063544 1655824 1966291 2071112 2127088 3932582 4142224 4918891 7865164 9837782 15730328 19570609 19675564 31460656 39141218 39351128 78282436 78702256 156564872 313129744 371841571 724112533 743683142 1448225066 1487366284 2896450132 2974732568 5792900264 5949465136 11585800528 13758138127 27516276254 55032552508 110065105016 220130210032