Search a number
-
+
31023221203212 = 22371672837814563
BaseRepresentation
bin1110000110111001010000…
…00101000110000100001100
311001211210100121220112022120
413003130220011012010030
513031241024112000322
6145551512052412540
76351232225202160
oct703345005060414
9131753317815276
1031023221203212
119980968660687
123590612017150
131440628566204
14793763822ca0
1538beb9e96a5c
hex1c372814610c

31023221203212 has 96 divisors (see below), whose sum is σ = 83518058975232. Its totient is φ = 8779566632256.

The previous prime is 31023221203207. The next prime is 31023221203217. The reversal of 31023221203212 is 21230212232013.

It is an interprime number because it is at equal distance from previous prime (31023221203207) and next prime (31023221203217).

It is a super-2 number, since 2×310232212032122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31023221203217) 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, 62643 + ... + 7877205.

It is an arithmetic number, because the mean of its divisors is an integer number (869979780992).

Almost surely, 231023221203212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31023221203212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41759029487616).

31023221203212 is an abundant number, since it is smaller than the sum of its proper divisors (52494837772020).

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

31023221203212 is a wasteful number, since it uses less digits than its factorization.

31023221203212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815027 (or 7815025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31023221203212 its reverse (21230212232013), we get a palindrome (52253433435225).

The spelling of 31023221203212 in words is "thirty-one trillion, twenty-three billion, two hundred twenty-one million, two hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 167 283 334 501 566 668 849 1002 1132 1169 1698 1981 2004 2338 3396 3507 3962 4676 5943 7014 7924 11886 14028 23772 47261 94522 141783 189044 283566 330827 567132 661654 992481 1323308 1984962 3969924 7814563 15629126 23443689 31258252 46887378 54701941 93774756 109403882 164105823 218807764 328211646 656423292 1305032021 2211521329 2610064042 3915096063 4423042658 5220128084 6634563987 7830192126 8846085316 9135224147 13269127974 15480649303 15660384252 18270448294 26538255948 27405672441 30961298606 36540896588 46441947909 54811344882 61922597212 92883895818 109622689764 185767791636 369324061943 738648123886 1107972185829 1477296247772 2215944371658 2585268433601 4431888743316 5170536867202 7755805300803 10341073734404 15511610601606 31023221203212