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31221403422 = 23112923471621
BaseRepresentation
bin11101000100111100…
…001100111100011110
32222120212120121212220
4131010330030330132
51002420134402142
622202023010210
72153460356526
oct350474147436
988525517786
1031221403422
1112271739550
126073b99966
132c37441711
14172274a686
15c2ae912ec
hex744f0cf1e

31221403422 has 96 divisors (see below), whose sum is σ = 70796329344. Its totient is φ = 9102844800.

The previous prime is 31221403391. The next prime is 31221403427. The reversal of 31221403422 is 22430412213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31221403392 and 31221403401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221403427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19259772 + ... + 19261392.

It is an arithmetic number, because the mean of its divisors is an integer number (737461764).

Almost surely, 231221403422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31221403422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35398164672).

31221403422 is an abundant number, since it is smaller than the sum of its proper divisors (39574925922).

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

31221403422 is a wasteful number, since it uses less digits than its factorization.

31221403422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31221403422 its reverse (22430412213), we get a palindrome (53651815635).

The spelling of 31221403422 in words is "thirty-one billion, two hundred twenty-one million, four hundred three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 347 638 694 841 957 1041 1621 1682 1914 2082 2523 3242 3817 4863 5046 7634 9251 9726 10063 11451 17831 18502 20126 22902 27753 30189 35662 47009 53493 55506 60378 94018 106986 110693 141027 221386 282054 291827 332079 517099 562487 583654 664158 875481 1034198 1124974 1363261 1551297 1687461 1750962 2726522 3102594 3210097 3374922 4089783 6187357 6420194 8179566 9630291 12374714 14995871 16312123 18562071 19260582 29991742 32624246 37124142 44987613 48936369 89975226 97872738 179433353 358866706 473051567 538300059 946103134 1076600118 1419154701 2838309402 5203567237 10407134474 15610701711 31221403422