Search a number
-
+
5213531106 = 2327219595273
BaseRepresentation
bin1001101101100000…
…00010101111100010
3111110100011211011200
410312300002233202
541134130443411
62221200022030
7243124166100
oct46660025742
914410154150
105213531106
1122359a20a3
121016001916
13651172a64
143765a6c70
15207a84e56
hex136c02be2

5213531106 has 144 divisors (see below), whose sum is σ = 14068922400. Its totient is φ = 1386999936.

The previous prime is 5213531101. The next prime is 5213531107. The reversal of 5213531106 is 6011353125.

5213531106 is a `hidden beast` number, since 5 + 21 + 3 + 531 + 106 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5213531106.

It is not an unprimeable number, because it can be changed into a prime (5213531101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 986086 + ... + 991358.

It is an arithmetic number, because the mean of its divisors is an integer number (97700850).

Almost surely, 25213531106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5213531106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7034461200).

5213531106 is an abundant number, since it is smaller than the sum of its proper divisors (8855391294).

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

5213531106 is a wasteful number, since it uses less digits than its factorization.

5213531106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5213531106 is about 72204.7858940112. The cubic root of 5213531106 is about 1733.9796236476.

The spelling of 5213531106 in words is "five billion, two hundred thirteen million, five hundred thirty-one thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 59 63 98 114 118 126 133 147 171 177 266 294 342 354 399 413 441 531 798 826 882 931 1062 1121 1197 1239 1862 2242 2394 2478 2793 2891 3363 3717 5273 5586 5782 6726 7434 7847 8379 8673 10089 10546 15694 15819 16758 17346 20178 23541 26019 31638 36911 47082 47457 52038 54929 70623 73822 94914 100187 109858 110733 141246 164787 200374 221466 258377 300561 311107 329574 332199 494361 516754 601122 622214 664398 701309 775131 901683 933321 988722 1402618 1550262 1803366 1866642 2103927 2177749 2325393 2799963 4207854 4355498 4650786 4909163 5599926 5911033 6311781 6533247 9818326 11822066 12623562 13066494 14727489 15244243 17733099 19599741 29454978 30488486 35466198 39199482 41377231 44182467 45732729 53199297 82754462 88364934 91465458 106398594 124131693 137198187 248263386 274396374 289640617 372395079 579281234 744790158 868921851 1737843702 2606765553 5213531106