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3113233313130 = 2325119929288433
BaseRepresentation
bin101101010011011011001…
…010100110110101101010
3102000121210120201120121100
4231103123022212311222
5402001400212010010
610342111042222230
7440631552352323
oct55233312466552
912017716646540
103113233313130
11aa03510528a6
12423447654976
13197765b60635
14aa97769744a
1555eb061a2c0
hex2d4db2a6d6a

3113233313130 has 48 divisors (see below), whose sum is σ = 8094502171080. Its totient is φ = 830185749504.

The previous prime is 3113233313129. The next prime is 3113233313131. The reversal of 3113233313130 is 313133323113.

3113233313130 is a `hidden beast` number, since 3 + 1 + 1 + 323 + 331 + 3 + 1 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3113233313129) and next prime (3113233313131).

It can be written as a sum of positive squares in 4 ways, for example, as 2969924882409 + 143308430721 = 1723347^2 + 378561^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3113233313094 and 3113233313103.

It is not an unprimeable number, because it can be changed into a prime (3113233313131) 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 23 ways as a sum of consecutive naturals, for example, 10649394 + ... + 10937826.

Almost surely, 23113233313130 is an apocalyptic number.

3113233313130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3113233313130 is an abundant number, since it is smaller than the sum of its proper divisors (4981268857950).

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

3113233313130 is a wasteful number, since it uses less digits than its factorization.

3113233313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408375 (or 408372 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3113233313130 its reverse (313133323113), we get a palindrome (3426366636243).

The spelling of 3113233313130 in words is "three trillion, one hundred thirteen billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 119929 239858 288433 359787 576866 599645 719574 865299 1079361 1199290 1442165 1730598 1798935 2158722 2595897 2884330 3597870 4326495 5191794 5396805 8652990 10793610 12979485 25958970 34591481257 69182962514 103774443771 172957406285 207548887542 311323331313 345914812570 518872218855 622646662626 1037744437710 1556616656565 3113233313130