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201340213404 = 2231167160914149
BaseRepresentation
bin1011101110000011001…
…1111101100010011100
3201020200202010120122220
42323200303331202130
511244321043312104
6232254443305340
720355253401501
oct2734063754234
9636622116586
10201340213404
117842a335390
123303051b250
1315ca8b96b65
149a600ad4a8
155385e597d9
hex2ee0cfd89c

201340213404 has 96 divisors (see below), whose sum is σ = 520511712000. Its totient is φ = 60059957760.

The previous prime is 201340213387. The next prime is 201340213483. The reversal of 201340213404 is 404312043102.

It is a super-2 number, since 2×2013402134042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14222922 + ... + 14237070.

It is an arithmetic number, because the mean of its divisors is an integer number (5421997000).

Almost surely, 2201340213404 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 201340213404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260255856000).

201340213404 is an abundant number, since it is smaller than the sum of its proper divisors (319171498596).

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

201340213404 is a wasteful number, since it uses less digits than its factorization.

201340213404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843 (or 15841 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201340213404 its reverse (404312043102), we get a palindrome (605652256506).

The spelling of 201340213404 in words is "two hundred one billion, three hundred forty million, two hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 1609 2211 2948 3218 4422 4827 6436 8844 9654 14149 17699 19308 28298 35398 42447 53097 56596 70796 84894 106194 107803 155639 169788 212388 215606 311278 323409 431212 466917 622556 646818 933834 947983 1185833 1293636 1867668 1895966 2371666 2843949 3557499 3791932 4743332 5687898 7114998 10427813 11375796 14229996 20855626 22765741 31283439 41711252 45531482 62566878 68297223 91062964 125133756 136594446 250423151 273188892 500846302 751269453 1001692604 1502538906 1525304647 3005077812 3050609294 4575913941 6101218588 9151827882 16778351117 18303655764 33556702234 50335053351 67113404468 100670106702 201340213404