Search a number
-
+
151761202340 = 225114173230479
BaseRepresentation
bin1000110101010110101…
…1000010110010100100
3112111201111110212021212
42031111223002302210
54441301331433330
6153415041130552
713651532635646
oct2152553026244
9474644425255
10151761202340
11593a8273580
12254b4629a58
1311407407017
1474b9648896
153e33522295
hex2355ac2ca4

151761202340 has 96 divisors (see below), whose sum is σ = 361031247360. Its totient is φ = 53102131200.

The previous prime is 151761202337. The next prime is 151761202349. The reversal of 151761202340 is 43202167151.

It is a junction number, because it is equal to n+sod(n) for n = 151761202297 and 151761202306.

It is not an unprimeable number, because it can be changed into a prime (151761202349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543221 + ... + 773699.

It is an arithmetic number, because the mean of its divisors is an integer number (3760742160).

Almost surely, 2151761202340 is an apocalyptic number.

151761202340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151761202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180515623680).

151761202340 is an abundant number, since it is smaller than the sum of its proper divisors (209270045020).

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

151761202340 is a wasteful number, since it uses less digits than its factorization.

151761202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230613 (or 230611 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 151761202340 its reverse (43202167151), we get a palindrome (194963369491).

The spelling of 151761202340 in words is "one hundred fifty-one billion, seven hundred sixty-one million, two hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 73 82 110 146 164 205 220 292 365 410 451 730 803 820 902 1460 1606 1804 2255 2993 3212 4015 4510 5986 8030 9020 11972 14965 16060 29930 32923 59860 65846 131692 164615 230479 329230 460958 658460 921916 1152395 2304790 2535269 4609580 5070538 9449639 10141076 12676345 16824967 18899278 25352690 33649934 37798556 47248195 50705380 67299868 84124835 94496390 103946029 168249670 185074637 188992780 207892058 336499340 370149274 415784116 519730145 689823647 740298548 925373185 1039460290 1379647294 1850746370 2078920580 2759294588 3449118235 3701492740 6898236470 7588060117 13796472940 15176120234 30352240468 37940300585 75880601170 151761202340