Search a number
-
+
311230201332 = 2232329109356737
BaseRepresentation
bin1001000011101101100…
…00111111110111110100
31002202100011112100211210
410201312300333313310
520044344412420312
6354551023201420
731325401030161
oct4416660776764
91082304470753
10311230201332
1110aaa0375826
125039a446270
132346c65605b
14110c6817068
158168570e3c
hex4876c3fdf4

311230201332 has 96 divisors (see below), whose sum is σ = 791102188800. Its totient is φ = 94931730432.

The previous prime is 311230201313. The next prime is 311230201333. The reversal of 311230201332 is 233102032113.

It is a junction number, because it is equal to n+sod(n) for n = 311230201299 and 311230201308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311230201333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694068 + ... + 1050804.

It is an arithmetic number, because the mean of its divisors is an integer number (8240647800).

Almost surely, 2311230201332 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 311230201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395551094400).

311230201332 is an abundant number, since it is smaller than the sum of its proper divisors (479871987468).

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

311230201332 is a wasteful number, since it uses less digits than its factorization.

311230201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356905 (or 356903 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 311230201332 its reverse (233102032113), we get a palindrome (544332233445).

The spelling of 311230201332 in words is "three hundred eleven billion, two hundred thirty million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 109 116 138 174 218 276 327 348 436 654 667 1308 1334 2001 2507 2668 3161 4002 5014 6322 7521 8004 9483 10028 12644 15042 18966 30084 37932 72703 145406 218109 290812 356737 436218 713474 872436 1070211 1426948 2140422 4280844 8204951 10345373 16409902 20690746 24614853 31036119 32819804 38884333 41381492 49229706 62072238 77768666 98459412 116652999 124144476 155537332 233305998 237943579 466611996 475887158 713830737 894339659 951774316 1127645657 1427661474 1788679318 2255291314 2683018977 2855322948 3382936971 3577358636 4510582628 5366037954 6765873942 10732075908 13531747884 25935850111 51871700222 77807550333 103743400444 155615100666 311230201332