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201164330334 = 231117297384691
BaseRepresentation
bin1011101101011001010…
…1000001010101011110
3201020020111011210110010
42323112111001111132
511243441032032314
6232225201424050
720351016411042
oct2732625012536
9636214153403
10201164330334
117834a024880
1232ba163b026
1315c7b604b36
149a449a8022
1553757b6059
hex2ed654155e

201164330334 has 128 divisors (see below), whose sum is σ = 487338094080. Its totient is φ = 54635212800.

The previous prime is 201164330329. The next prime is 201164330347. The reversal of 201164330334 is 433033461102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2332929 + ... + 2417619.

It is an arithmetic number, because the mean of its divisors is an integer number (3807328860).

Almost surely, 2201164330334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201164330334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243669047040).

201164330334 is an abundant number, since it is smaller than the sum of its proper divisors (286173763746).

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

201164330334 is a wasteful number, since it uses less digits than its factorization.

201164330334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84826.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 201164330334 its reverse (433033461102), we get a palindrome (634197791436).

The spelling of 201164330334 in words is "two hundred one billion, one hundred sixty-four million, three hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 73 87 102 146 174 187 219 319 374 438 493 561 638 803 957 986 1122 1241 1479 1606 1914 2117 2409 2482 2958 3723 4234 4818 5423 6351 7446 10846 12702 13651 16269 23287 27302 32538 35989 40953 46574 69861 71978 81906 84691 107967 139722 169382 215934 254073 395879 508146 791758 931601 1187637 1439747 1863202 2375274 2456039 2794803 2879494 4319241 4912078 5589606 6182443 7368117 8638482 12364886 14736234 15837217 18547329 27016429 31674434 37094658 41752663 47511651 54032858 68006873 81049287 83505326 95023302 105101531 125257989 136013746 162098574 179290847 204020619 210203062 250515978 315304593 358581694 408041238 459279293 537872541 630609186 918558586 1075745082 1156116841 1377837879 1972199317 2312233682 2755675758 3047944399 3468350523 3944398634 5916597951 6095888798 6936701046 9143833197 11833195902 18287666394 33527388389 67054776778 100582165167 201164330334