Search a number
-
+
311210040232 = 237132149921937
BaseRepresentation
bin1001000011101011001…
…00000101101110101000
31002202021202121002000101
410201311210011232220
520044324232241412
6354545023115144
731325034460360
oct4416544055650
91082252532011
10311210040232
1110aa8aa55463
1250393742ab4
1323468417500
14110c3c899a0
1581668dc457
hex4875905ba8

311210040232 has 96 divisors (see below), whose sum is σ = 722637720000. Its totient is φ = 123028319232.

The previous prime is 311210040217. The next prime is 311210040259. The reversal of 311210040232 is 232040012113.

It is a happy number.

It is a super-2 number, since 2×3112100402322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14175568 + ... + 14197504.

It is an arithmetic number, because the mean of its divisors is an integer number (7527476250).

Almost surely, 2311210040232 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 311210040232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361318860000).

311210040232 is an abundant number, since it is smaller than the sum of its proper divisors (411427679768).

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

311210040232 is a wasteful number, since it uses less digits than its factorization.

311210040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23475 (or 23458 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 311210040232 its reverse (232040012113), we get a palindrome (543250052345).

The spelling of 311210040232 in words is "three hundred eleven billion, two hundred ten million, forty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 1499 2366 2998 4732 5996 9464 10493 11992 19487 20986 21937 38974 41972 43874 77948 83944 87748 136409 153559 155896 175496 253331 272818 285181 307118 506662 545636 570362 614236 1013324 1091272 1140724 1228472 1773317 1996267 2026648 2281448 3546634 3707353 3992534 7093268 7414706 7985068 14186536 14829412 15970136 25951471 29658824 32883563 51902942 65767126 103805884 131534252 207611768 230184941 263068504 427486319 460369882 854972638 920739764 1709945276 1841479528 2992404233 3419890552 5557322147 5984808466 11114644294 11969616932 22229288588 23939233864 38901255029 44458577176 77802510058 155605020116 311210040232