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31315216212 = 223274713120183
BaseRepresentation
bin11101001010100010…
…000100011101010100
32222211102002210211200
4131022202010131110
51003113143404322
622215213432500
72156006642310
oct351242043524
988742083750
1031315216212
111230a694485
12609b49b730
132c509c9c47
141730daab40
15c343228ac
hex74a884754

31315216212 has 144 divisors (see below), whose sum is σ = 93100879872. Its totient is φ = 8689561920.

The previous prime is 31315216199. The next prime is 31315216253. The reversal of 31315216212 is 21261251313.

31315216212 is a `hidden beast` number, since 3 + 1 + 3 + 15 + 21 + 621 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1541473 + ... + 1561655.

It is an arithmetic number, because the mean of its divisors is an integer number (646533888).

Almost surely, 231315216212 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 31315216212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46550439936).

31315216212 is an abundant number, since it is smaller than the sum of its proper divisors (61785663660).

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

31315216212 is a wasteful number, since it uses less digits than its factorization.

31315216212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20378 (or 20373 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 31315216212 its reverse (21261251313), we get a palindrome (52576467525).

The spelling of 31315216212 in words is "thirty-one billion, three hundred fifteen million, two hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 131 141 188 252 262 282 329 393 423 524 564 658 786 846 917 987 1179 1316 1572 1692 1834 1974 2358 2751 2961 3668 3948 4716 5502 5922 6157 8253 11004 11844 12314 16506 18471 20183 24628 33012 36942 40366 43099 55413 60549 73884 80732 86198 110826 121098 129297 141281 172396 181647 221652 242196 258594 282562 363294 387891 423843 517188 565124 726588 775782 847686 948601 1271529 1551564 1695372 1897202 2543058 2643973 2845803 3794404 5086116 5287946 5691606 6640207 7931919 8537409 10575892 11383212 13280414 15863838 17074818 18507811 19920621 23795757 26560828 31727676 34149636 37015622 39841242 47591514 55523433 59761863 74031244 79682484 95183028 111046866 119523726 124266731 166570299 222093732 239047452 248533462 333140598 372800193 497066924 666281196 745600386 869867117 1118400579 1491200772 1739734234 2236801158 2609601351 3479468468 4473602316 5219202702 7828804053 10438405404 15657608106 31315216212