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312313000212 = 22352294013499
BaseRepresentation
bin1001000101101110100…
…11100011000100010100
31002212010122000020200000
410202313103203010110
520104104112001322
6355250303251300
731364256462213
oct4426723430424
91085118006600
10312313000212
111104a6601634
1250640ba9b30
13235b2a93555
141118a55907a
1581cd65a3ac
hex48b74e3114

312313000212 has 144 divisors (see below), whose sum is σ = 824558280000. Its totient is φ = 103361702400.

The previous prime is 312313000183. The next prime is 312313000217. The reversal of 312313000212 is 212000313213.

312313000212 is a `hidden beast` number, since 312 + 31 + 300 + 0 + 21 + 2 = 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 (312313000217) 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 47 ways as a sum of consecutive naturals, for example, 89256039 + ... + 89259537.

Almost surely, 2312313000212 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 312313000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412279140000).

312313000212 is an abundant number, since it is smaller than the sum of its proper divisors (512245279788).

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

312313000212 is a wasteful number, since it uses less digits than its factorization.

312313000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312313000212 its reverse (212000313213), we get a palindrome (524313313425).

The spelling of 312313000212 in words is "three hundred twelve billion, three hundred thirteen million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 243 324 401 458 486 687 802 916 972 1203 1374 1604 2061 2406 2748 3499 3609 4122 4812 6183 6998 7218 8244 10497 10827 12366 13996 14436 18549 20994 21654 24732 31491 32481 37098 41988 43308 55647 62982 64962 74196 91829 94473 97443 111294 125964 129924 183658 188946 194886 222588 275487 283419 367316 377892 389772 550974 566838 801271 826461 850257 1101948 1133676 1403099 1602542 1652922 1700514 2403813 2479383 2806198 3205084 3305844 3401028 4209297 4807626 4958766 5612396 7211439 7438149 8418594 9615252 9917532 12627891 14422878 14876298 16837188 21634317 22314447 25255782 28845756 29752596 37883673 43268634 44628894 50511564 64902951 75767346 86537268 89257788 113651019 129805902 151534692 194708853 227302038 259611804 321309671 340953057 389417706 454604076 642619342 681906114 778835412 963929013 1285238684 1363812228 1927858026 2891787039 3855716052 5783574078 8675361117 11567148156 17350722234 26026083351 34701444468 52052166702 78078250053 104104333404 156156500106 312313000212