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31202213133013 = 1322937832073103
BaseRepresentation
bin1110001100000110101001…
…10101000111101011010101
311002110220100212210200012221
413012003110311013223111
513042204113030224023
6150210033202542341
76400166633410126
oct706032465075325
9132426325720187
1031202213133013
119a3a86996779a
1235bb2460679b1
1314544823a6200
1479c2a37b004d
15391993e2785d
hex1c60d4d47ad5

31202213133013 has 48 divisors (see below), whose sum is σ = 36329240344320. Its totient is φ = 26731273750272.

The previous prime is 31202213133011. The next prime is 31202213133019. The reversal of 31202213133013 is 31033131220213.

It is not a de Polignac number, because 31202213133013 - 21 = 31202213133011 is a prime.

It is a super-3 number, since 3×312022131330133 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31202213133011) 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 47 ways as a sum of consecutive naturals, for example, 14014420 + ... + 16087522.

It is an arithmetic number, because the mean of its divisors is an integer number (756859173840).

Almost surely, 231202213133013 is an apocalyptic number.

It is an amenable number.

31202213133013 is a deficient number, since it is larger than the sum of its proper divisors (5127027211307).

31202213133013 is a wasteful number, since it uses less digits than its factorization.

31202213133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073278 (or 2073265 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 31202213133013 its reverse (31033131220213), we get a palindrome (62235344353226).

The spelling of 31202213133013 in words is "thirty-one trillion, two hundred two billion, two hundred thirteen million, one hundred thirty-three thousand, thirteen".

Divisors: 1 13 29 37 83 169 377 481 1073 1079 2407 3071 4901 6253 13949 14027 31291 39923 89059 181337 406783 518999 1157767 2073103 15050971 26950339 60119987 76704811 172067549 350354407 781559831 997162543 2224439519 2236878137 4989958921 6366499313 10160277803 12963113059 28917713747 29079415781 64869465973 82764491069 184628480077 375930278711 843303057649 1075938383897 2400170241001 31202213133013