Search a number
-
+
311322120312 = 233729112956599
BaseRepresentation
bin1001000011111000011…
…11101001000001111000
31002202120120111022222110
410201330033221001320
520100041430322222
6355004105252320
731330565234430
oct4417417510170
91082516438873
10311322120312
11110038247925
12504051940a0
13234856ca598
14110d4b032c0
15817167b30c
hex487c3e9078

311322120312 has 128 divisors (see below), whose sum is σ = 920995200000. Its totient is φ = 85804379136.

The previous prime is 311322120281. The next prime is 311322120367. The reversal of 311322120312 is 213021223113.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 5472189 + ... + 5528787.

It is an arithmetic number, because the mean of its divisors is an integer number (7195275000).

Almost surely, 2311322120312 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 311322120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460497600000).

311322120312 is an abundant number, since it is smaller than the sum of its proper divisors (609673079688).

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

311322120312 is a wasteful number, since it uses less digits than its factorization.

311322120312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57773 (or 57769 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 311322120312 its reverse (213021223113), we get a palindrome (524343343425).

The spelling of 311322120312 in words is "three hundred eleven billion, three hundred twenty-two million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1129 1218 1624 2258 2436 3387 4516 4872 6774 7903 9032 13548 15806 23709 27096 31612 32741 47418 56599 63224 65482 94836 98223 113198 130964 169797 189672 196446 226396 229187 261928 339594 392892 396193 452792 458374 679188 687561 785784 792386 916748 1188579 1358376 1375122 1584772 1641371 1833496 2377158 2750244 3169544 3282742 4754316 4924113 5500488 6565484 9508632 9848226 11489597 13130968 19696452 22979194 34468791 39392904 45958388 63900271 68937582 91916776 127800542 137875164 191700813 255601084 275750328 383401626 447301897 511202168 766803252 894603794 1341905691 1533606504 1789207588 1853107859 2683811382 3578415176 3706215718 5367622764 5559323577 7412431436 10735245528 11118647154 12971755013 14824862872 22237294308 25943510026 38915265039 44474588616 51887020052 77830530078 103774040104 155661060156 311322120312