Search a number
-
+
31101218004 = 22317712147281
BaseRepresentation
bin11100111101110001…
…101110110011010100
32222021111102120111010
4130331301232303110
51002143402434004
622142051012220
72150500663653
oct347561566324
988244376433
1031101218004
111220a91045a
12603b89a070
132c1858129c
1417107c319a
15c20650a89
hex73dc6ecd4

31101218004 has 48 divisors (see below), whose sum is σ = 77920569216. Its totient is φ = 9619814400.

The previous prime is 31101218003. The next prime is 31101218041. The reversal of 31101218004 is 40081210113.

It is a happy number.

It is a super-2 number, since 2×311012180042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31101218003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1059157 + ... + 1088124.

It is an arithmetic number, because the mean of its divisors is an integer number (1623345192).

Almost surely, 231101218004 is an apocalyptic number.

31101218004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31101218004 is an abundant number, since it is smaller than the sum of its proper divisors (46819351212).

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

31101218004 is a wasteful number, since it uses less digits than its factorization.

31101218004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147376 (or 2147374 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 31101218004 its reverse (40081210113), we get a palindrome (71182428117).

The spelling of 31101218004 in words is "thirty-one billion, one hundred one million, two hundred eighteen thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 7242 14484 2147281 4294562 6441843 8589124 12883686 25767372 36503777 73007554 109511331 146015108 152456951 219022662 304913902 438045324 457370853 609827804 914741706 1829483412 2591768167 5183536334 7775304501 10367072668 15550609002 31101218004