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20130031232 = 271929614679
BaseRepresentation
bin10010101111110101…
…111110011010000000
31220221220012112120022
4102233311332122000
5312211241444412
613125252233012
71311561304463
oct225765763200
956856175508
1020130031232
11859a972453
123a9960b768
131b8a6046ac
14d8d6932da
157cc3a3a72
hex4afd7e680

20130031232 has 128 divisors (see below), whose sum is σ = 44394480000. Its totient is φ = 9053614080.

The previous prime is 20130031183. The next prime is 20130031237. The reversal of 20130031232 is 23213003102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 20130031232.

It is not an unprimeable number, because it can be changed into a prime (20130031237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4299869 + ... + 4304547.

It is an arithmetic number, because the mean of its divisors is an integer number (346831875).

Almost surely, 220130031232 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 20130031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197240000).

20130031232 is an abundant number, since it is smaller than the sum of its proper divisors (24264448768).

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

20130031232 is a wasteful number, since it uses less digits than its factorization.

20130031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20130031232 its reverse (23213003102), we get a palindrome (43343034334).

The spelling of 20130031232 in words is "twenty billion, one hundred thirty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 61 64 76 116 122 128 152 232 244 304 464 488 551 608 928 976 1102 1159 1216 1769 1856 1952 2204 2318 2432 3538 3712 3904 4408 4636 4679 7076 7808 8816 9272 9358 14152 17632 18544 18716 28304 33611 35264 37088 37432 56608 67222 70528 74176 74864 88901 113216 134444 135691 148352 149728 177802 226432 268888 271382 285419 299456 355604 537776 542764 570838 598912 711208 1075552 1085528 1141676 1422416 2151104 2171056 2283352 2578129 2844832 4302208 4342112 4566704 5156258 5422961 5689664 8277151 8684224 9133408 10312516 10845922 11379328 16554302 17368448 18266816 20625032 21691844 33108604 36533632 41250064 43383688 66217208 82500128 86767376 132434416 157265869 165000256 173534752 264868832 314531738 330000512 347069504 529737664 629063476 694139008 1059475328 1258126952 2516253904 5032507808 10065015616 20130031232