Search a number
-
+
87503341122 = 2366121272
BaseRepresentation
bin101000101111110011…
…0110000011001000010
322100212020222022000000
41101133212300121002
52413201323403442
6104110512140430
76215262061461
oct1213746603102
9270766868000
1087503341122
113412339a34a
1214b60837716
1383367c2832
1443414ba9d8
1524220b0d4c
hex145f9b0642

87503341122 has 126 divisors (see below), whose sum is σ = 201659257449. Its totient is φ = 28463717520.

The previous prime is 87503341097. The next prime is 87503341129. The reversal of 87503341122 is 22114330578.

87503341122 is a `hidden beast` number, since 8 + 7 + 503 + 34 + 112 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59272284681 + 28231056441 = 243459^2 + 168021^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=209169.

It is not an unprimeable number, because it can be changed into a prime (87503341129) 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 62 ways as a sum of consecutive naturals, for example, 689002623 + ... + 689002749.

Almost surely, 287503341122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87503341122

87503341122 is an abundant number, since it is smaller than the sum of its proper divisors (114155916327).

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

87503341122 is an frugal number, since it uses more digits than its factorization.

87503341122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 87503341122 in words is "eighty-seven billion, five hundred three million, three hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 127 162 183 243 254 366 381 486 549 729 762 1098 1143 1458 1647 2286 3294 3429 3721 4941 6858 7442 7747 9882 10287 11163 14823 15494 16129 20574 22326 23241 29646 30861 32258 33489 44469 46482 48387 61722 66978 69723 88938 92583 96774 100467 139446 145161 185166 200934 209169 290322 301401 418338 435483 472567 602802 627507 870966 904203 945134 983869 1255014 1306449 1417701 1808406 1882521 1967738 2612898 2712609 2835402 2951607 3765042 3919347 4253103 5425218 5647563 5903214 7838694 8506206 8854821 11295126 11758041 12759309 17709642 23516082 25518618 26564463 38277927 53128926 60016009 76555854 79693389 114833781 120032018 159386778 180048027 229667562 239080167 344501343 360096054 478160334 540144081 689002686 717240501 1080288162 1434481002 1620432243 3240864486 4861296729 9722593458 14583890187 29167780374 43751670561 87503341122