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212130321311232 = 293295143483853
BaseRepresentation
bin110000001110111001110000…
…011100101010011000000000
31000211002110102211020201010200
4300032321300130222120000
5210301020344223424412
62031055154013325200
762452624054234032
oct6016716034523000
91024073384221120
10212130321311232
1161655a67177155
121b96033b496800
139149a5a2a327c
143a5523b62bc52
15197cee31419dc
hexc0ee7072a600

212130321311232 has 120 divisors (see below), whose sum is σ = 612230170375824. Its totient is φ = 70709217767424.

The previous prime is 212130321311213. The next prime is 212130321311239. The reversal of 212130321311232 is 232113123031212.

212130321311232 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 0 + 321 + 311 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212130321311196 and 212130321311205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212130321311239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438177018 + ... + 438660870.

Almost surely, 2212130321311232 is an apocalyptic number.

It is an amenable number.

212130321311232 is an abundant number, since it is smaller than the sum of its proper divisors (400099849064592).

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

212130321311232 is an equidigital number, since it uses as much as digits as its factorization.

212130321311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579020 (or 579001 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212130321311232 its reverse (232113123031212), we get a palindrome (444243444342444).

The spelling of 212130321311232 in words is "two hundred twelve trillion, one hundred thirty billion, three hundred twenty-one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 95143 190286 285429 380572 483853 570858 761144 856287 967706 1141716 1451559 1522288 1712574 1935412 2283432 2903118 3044576 3425148 3870824 4354677 4566864 5806236 6089152 6850296 7741648 8709354 9133728 11612472 12178304 13700592 15483296 17418708 18267456 23224944 24356608 27401184 30966592 34837416 36534912 46449888 48713216 54802368 61933184 69674832 73069824 92899776 109604736 123866368 139349664 146139648 185799552 219209472 247732736 278699328 371599104 438418944 557398656 743198208 1114797312 2229594624 46035225979 92070451958 138105677937 184140903916 276211355874 368281807832 414317033811 552422711748 736563615664 828634067622 1104845423496 1473127231328 1657268135244 2209690846992 2946254462656 3314536270488 4419381693984 5892508925312 6629072540976 8838763387968 11785017850624 13258145081952 17677526775936 23570035701248 26516290163904 35355053551872 53032580327808 70710107103744 106065160655616 212130321311232