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31202320212 = 22327733135419
BaseRepresentation
bin11101000011110011…
…011001111101010100
32222112112200002122100
4131003303121331110
51002400243221322
622200102002100
72153136226410
oct350363317524
988475602570
1031202320212
1112261994aa8
126069716330
132c334bc68b
14171ddbdd40
15c29471dac
hex743cd9f54

31202320212 has 144 divisors (see below), whose sum is σ = 91683679360. Its totient is φ = 8763116544.

The previous prime is 31202320207. The next prime is 31202320231. The reversal of 31202320212 is 21202320213.

It is a super-2 number, since 2×312023202122 (a number of 22 digits) contains 22 as substring.

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

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, 5755239 + ... + 5760657.

Almost surely, 231202320212 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 31202320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45841839680).

31202320212 is an abundant number, since it is smaller than the sum of its proper divisors (60481359148).

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

31202320212 is a wasteful number, since it uses less digits than its factorization.

31202320212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5817 counting only the distinct ones).

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

Adding to 31202320212 its reverse (21202320213), we get a palindrome (52404640425).

Subtracting from 31202320212 its reverse (21202320213), we obtain a palindrome (9999999999).

The spelling of 31202320212 in words is "thirty-one billion, two hundred two million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 313 438 511 626 657 876 939 1022 1252 1314 1533 1878 2044 2191 2628 2817 3066 3756 4382 4599 5419 5634 6132 6573 8764 9198 10838 11268 13146 16257 18396 19719 21676 22849 26292 32514 37933 39438 45698 48771 65028 68547 75866 78876 91396 97542 113799 137094 151732 159943 195084 205641 227598 274188 319886 341397 395587 411282 455196 479829 639772 682794 791174 822564 959658 1186761 1365588 1439487 1582348 1696147 1919316 2373522 2769109 2878974 3392294 3560283 4747044 5088441 5538218 5757948 6784588 7120566 8307327 10176882 11076436 11873029 14241132 15265323 16614654 20353764 23746058 24921981 30530646 33229308 35619087 47492116 49843962 61061292 71238174 99687924 106857261 123818731 142476348 213714522 247637462 371456193 427429044 495274924 742912386 866731117 1114368579 1485824772 1733462234 2228737158 2600193351 3466924468 4457474316 5200386702 7800580053 10400773404 15601160106 31202320212