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312203020000004 = 227172533472097857
BaseRepresentation
bin100011011111100100110111…
…0000110101101101100000100
31111221102022120020222021022222
41012333021232012231230010
5311410113241110000004
63024000030513311512
7122521631610151250
oct10677115606555404
91457368506867288
10312203020000004
11905286147461a1
122b023053865598
13105288069ab503
1457149c7627260
1526161b4de87be
hex11bf26e1adb04

312203020000004 has 144 divisors (see below), whose sum is σ = 677759314038912. Its totient is φ = 123198456496128.

The previous prime is 312203019999979. The next prime is 312203020000061. The reversal of 312203020000004 is 400000020302213.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 147771044 + ... + 149868900.

It is an arithmetic number, because the mean of its divisors is an integer number (4706661903048).

Almost surely, 2312203020000004 is an apocalyptic number.

312203020000004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312203020000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338879657019456).

312203020000004 is an abundant number, since it is smaller than the sum of its proper divisors (365556294038908).

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

312203020000004 is a wasteful number, since it uses less digits than its factorization.

312203020000004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098302 (or 2098283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 312203020000004 its reverse (400000020302213), we get a palindrome (712203040302217).

The spelling of 312203020000004 in words is "three hundred twelve trillion, two hundred three billion, twenty million, four", and thus it is an aban number.

Divisors: 1 2 4 7 14 17 28 34 53 68 106 119 212 238 289 347 371 476 578 694 742 901 1156 1388 1484 1802 2023 2429 3604 4046 4858 5899 6307 8092 9716 11798 12614 15317 18391 23596 25228 30634 36782 41293 61268 73564 82586 100283 107219 128737 165172 200566 214438 257474 312647 401132 428876 514948 625294 701981 1250588 1403962 2097857 2188529 2807924 4195714 4377058 5314999 8391428 8754116 10629998 14684999 21259996 29369998 35663569 37204993 58739996 71327138 74409986 111186421 142654276 148819972 222372842 249644983 444745684 499289966 606280673 727956379 778304947 998579932 1212561346 1455912758 1556609894 1890169157 2425122692 2911825516 3113219788 3780338314 4243964711 5095694653 7560676628 8487929422 10191389306 12375258443 13231184099 16975858844 20382778612 24750516886 26462368198 32132875669 38581688087 49501033772 52924736396 64265751338 77163376174 86626809101 128531502676 154326752348 173253618202 210379393531 224930129683 270071816609 346507236404 420758787062 449860259366 540143633218 655888697479 841517574124 899720518732 1080287266436 1311777394958 1472655754717 2623554789916 2945311509434 4591220882353 5890623018868 9182441764706 11150107857143 18364883529412 22300215714286 44600431428572 78050755000001 156101510000002 312203020000004