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311120000010 = 232523314836433
BaseRepresentation
bin1001000011100000011…
…00100111010000001010
31002202001111011120001100
410201300030213100022
520044133210000020
6354532045202230
731322562236421
oct4416014472012
91082044146040
10311120000010
1110aa44146956
1250369560376
1323452880181
14110b5d2c2b8
15815da53a90
hex487032740a

311120000010 has 48 divisors (see below), whose sum is σ = 812383780104. Its totient is φ = 82609253376.

The previous prime is 311119999999. The next prime is 311120000011. The reversal of 311120000010 is 10000021113.

It can be written as a sum of positive squares in 4 ways, for example, as 157770223209 + 153349776801 = 397203^2 + 391599^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 311119999947 and 311120000001.

It is not an unprimeable number, because it can be changed into a prime (311120000011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7397247 + ... + 7439186.

Almost surely, 2311120000010 is an apocalyptic number.

311120000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311120000010 is an abundant number, since it is smaller than the sum of its proper divisors (501263780094).

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

311120000010 is a wasteful number, since it uses less digits than its factorization.

311120000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14836679 (or 14836676 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 311120000010 its reverse (10000021113), we get a palindrome (321120021123).

The spelling of 311120000010 in words is "three hundred eleven billion, one hundred twenty million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 466 699 1165 1398 2097 2330 3495 4194 6990 10485 20970 14836433 29672866 44509299 74182165 89018598 133527897 148364330 222546495 267055794 445092990 667639485 1335278970 3456888889 6913777778 10370666667 17284444445 20741333334 31112000001 34568888890 51853333335 62224000002 103706666670 155560000005 311120000010