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31221000342 = 2337230935771
BaseRepresentation
bin11101000100111010…
…101010100010010110
32222120211211010222000
4131010322222202112
51002420034002332
622202010220130
72153454060420
oct350472524226
988524733860
1031221000342
1112271493724
126073a24646
132c373300cc
141722683810
15c2ae11b7c
hex744eaa896

31221000342 has 64 divisors (see below), whose sum is σ = 79327987200. Its totient is φ = 8916173280.

The previous prime is 31221000319. The next prime is 31221000347. The reversal of 31221000342 is 24300012213.

31221000342 is a `hidden beast` number, since 312 + 2 + 10 + 0 + 0 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221000347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854917 + ... + 890687.

It is an arithmetic number, because the mean of its divisors is an integer number (1239499800).

Almost surely, 231221000342 is an apocalyptic number.

31221000342 is an abundant number, since it is smaller than the sum of its proper divisors (48106986858).

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

31221000342 is a wasteful number, since it uses less digits than its factorization.

31221000342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38098 (or 38092 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31221000342 its reverse (24300012213), we get a palindrome (55521012555).

The spelling of 31221000342 in words is "thirty-one billion, two hundred twenty-one million, three hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 2309 4618 6927 13854 16163 20781 32326 35771 41562 48489 62343 71542 96978 107313 124686 145467 214626 250397 290934 321939 436401 500794 643878 751191 872802 965817 1502382 1931634 2253573 4507146 6760719 13521438 82595239 165190478 247785717 495571434 578166673 743357151 1156333346 1486714302 1734500019 2230071453 3469000038 4460142906 5203500057 10407000114 15610500171 31221000342