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212000020310 = 251341747929
BaseRepresentation
bin1100010101110000101…
…1111001011101010110
3202021012122102212201002
43011130023321131112
511433134001122220
6241220320103302
721213362303651
oct3053413713526
9667178385632
10212000020310
11819aa537061
1235106464b32
1316cb7490000
14a391b06898
1557abbeac75
hex315c2f9756

212000020310 has 160 divisors (see below), whose sum is σ = 447510821760. Its totient is φ = 72027291648.

The previous prime is 212000020279. The next prime is 212000020339. The reversal of 212000020310 is 13020000212.

It is a happy number.

It is a super-3 number, since 3×2120000203103 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212000020291 and 212000020300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228201926 + ... + 228202854.

It is an arithmetic number, because the mean of its divisors is an integer number (2796942636).

Almost surely, 2212000020310 is an apocalyptic number.

212000020310 is an abundant number, since it is smaller than the sum of its proper divisors (235510801450).

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

212000020310 is an equidigital number, since it uses as much as digits as its factorization.

212000020310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 212000020310 its reverse (13020000212), we get a palindrome (225020020522).

The spelling of 212000020310 in words is "two hundred twelve billion, twenty thousand, three hundred ten".

Divisors: 1 2 5 10 13 17 26 34 47 65 85 94 130 169 170 221 235 338 442 470 611 799 845 929 1105 1222 1598 1690 1858 2197 2210 2873 3055 3995 4394 4645 5746 6110 7943 7990 9290 10387 10985 12077 14365 15793 15886 20774 21970 24154 28561 28730 31586 37349 39715 43663 51935 57122 60385 74698 78965 79430 87326 103259 103870 120770 135031 142805 157001 157930 186745 205309 206518 218315 270062 285610 314002 373490 410618 436630 485537 516295 567619 675155 742271 785005 971074 1026545 1032590 1135238 1342367 1350310 1484542 1570010 1755403 2041013 2053090 2427685 2669017 2684734 2838095 3510806 3711355 4082026 4855370 5338034 5676190 6711835 7379047 7422710 8777015 9649523 10205065 13345085 13423670 14758094 17554030 19299046 20410130 22820239 26533169 26690170 34697221 36895235 45640478 48247615 53066338 69394442 73790470 95927611 96495230 114101195 125443799 132665845 173486105 191855222 228202390 250887598 265331690 346972210 451063873 479638055 627218995 902127746 959276110 1247058943 1254437990 1630769387 2255319365 2494117886 3261538774 4510638730 6235294715 8153846935 12470589430 16307693870 21200002031 42400004062 106000010155 212000020310