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3013312013312 = 21071379109357
BaseRepresentation
bin101011110110010111011…
…001000110010000000000
3101200001212220011121201012
4223312113121012100000
5343332230333411222
610224144010100052
7430463452334366
oct53662731062000
911601786147635
103013312013312
11a61a36090377
1240800011a628
1318b200747763
14a5bb8c81636
15535b32791e2
hex2bd97646400

3013312013312 has 88 divisors (see below), whose sum is σ = 6124695399360. Its totient is φ = 1481502597120.

The previous prime is 3013312013303. The next prime is 3013312013317. The reversal of 3013312013312 is 2133102133103.

It is not an unprimeable number, because it can be changed into a prime (3013312013317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27500138 + ... + 27609494.

Almost surely, 23013312013312 is an apocalyptic number.

3013312013312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013312013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062347699680).

3013312013312 is an abundant number, since it is smaller than the sum of its proper divisors (3111383386048).

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

3013312013312 is a wasteful number, since it uses less digits than its factorization.

3013312013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109827 (or 109809 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 3013312013312 its reverse (2133102133103), we get a palindrome (5146414146415).

The spelling of 3013312013312 in words is "three trillion, thirteen billion, three hundred twelve million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 379 512 568 758 1024 1136 1516 2272 3032 4544 6064 9088 12128 18176 24256 26909 36352 48512 53818 72704 97024 107636 109357 194048 215272 218714 388096 430544 437428 861088 874856 1722176 1749712 3444352 3499424 6888704 6998848 7764347 13777408 13997696 15528694 27554816 27995392 31057388 41446303 55990784 62114776 82892606 111981568 124229552 165785212 248459104 331570424 496918208 663140848 993836416 1326281696 1987672832 2652563392 2942687513 3975345664 5305126784 5885375026 7950691328 10610253568 11770750052 21220507136 23541500104 42441014272 47083000208 94166000416 188332000832 376664001664 753328003328 1506656006656 3013312013312