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311032223130032 = 241749117231351667
BaseRepresentation
bin100011010111000011101010…
…1001011000110000110110000
31111210021101112102002212121222
41012232013111023012012300
5311231422443110130112
63021302121501204212
7122341223304025055
oct10656072513060660
91453241472085558
10311032223130032
11901170303aaa08
122aa74166260668
131047229c660601
1456b407b79502c
1525e59dddcc372
hex11ae1d52c61b0

311032223130032 has 80 divisors (see below), whose sum is σ = 639744550906752. Its totient is φ = 145985118397440.

The previous prime is 311032223130023. The next prime is 311032223130067. The reversal of 311032223130032 is 230031322230113.

It is a junction number, because it is equal to n+sod(n) for n = 311032223129983 and 311032223130010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229434263 + ... + 230785929.

Almost surely, 2311032223130032 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 311032223130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319872275453376).

311032223130032 is an abundant number, since it is smaller than the sum of its proper divisors (328712327776720).

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

311032223130032 is a wasteful number, since it uses less digits than its factorization.

311032223130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353906 (or 1353900 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 311032223130032 its reverse (230031322230113), we get a palindrome (541063545360145).

The spelling of 311032223130032 in words is "three hundred eleven trillion, thirty-two billion, two hundred twenty-three million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 491 982 1723 1964 3446 3928 6892 7856 8347 13784 16694 27568 29291 33388 58582 66776 117164 133552 234328 468656 845993 1351667 1691986 2703334 3383972 5406668 6767944 10813336 13535888 14381881 21626672 22978339 28763762 45956678 57527524 91913356 115055048 183826712 230110096 367653424 663668497 1327336994 2328922241 2654673988 4657844482 5309347976 9315688964 10618695952 11282364449 18631377928 22564728898 37262755856 39591678097 45129457796 79183356194 90258915592 158366712388 180517831184 316733424776 633466849552 1143500820331 2287001640662 4574003281324 9148006562648 18296013125296 19439513945627 38879027891254 77758055782508 155516111565016 311032223130032