Search a number
-
+
20321230020312 = 233131631647724251
BaseRepresentation
bin1001001111011011001111…
…01100100101111011011000
32122221200122110102022022110
410213231213230211323120
510130420334341122222
6111115235540152320
74165106011111224
oct447554754457330
978850573368273
1020321230020312
116525204633871
1223424829986a0
13b4538c592a30
145037a4b8b784
1525390627b30c
hex127b67b25ed8

20321230020312 has 128 divisors (see below), whose sum is σ = 55052265058560. Its totient is φ = 6213692736000.

The previous prime is 20321230020281. The next prime is 20321230020341. The reversal of 20321230020312 is 21302003212302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837942187 + ... + 837966437.

It is an arithmetic number, because the mean of its divisors is an integer number (430095820770).

Almost surely, 220321230020312 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 20321230020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27526132529280).

20321230020312 is an abundant number, since it is smaller than the sum of its proper divisors (34731035038248).

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

20321230020312 is a wasteful number, since it uses less digits than its factorization.

20321230020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40913 (or 40909 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20321230020312 its reverse (21302003212302), we get a palindrome (41623233232614).

The spelling of 20321230020312 in words is "twenty trillion, three hundred twenty-one billion, two hundred thirty million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 163 312 326 489 652 978 1304 1956 2119 3912 4238 6357 8476 12714 16477 16952 24251 25428 32954 48502 49431 50856 65908 72753 97004 98862 131816 145506 194008 197724 214201 291012 315263 395448 428402 582024 630526 642603 856804 945789 1261052 1285206 1713608 1891578 2522104 2570412 2685751 3783156 3952913 5140824 5371502 7566312 7905826 8057253 10743004 11858739 15811652 16114506 21486008 23717478 31623304 32229012 34914763 47434956 51387869 64458024 69829526 94869912 102775738 104744289 139659052 154163607 205551476 209488578 279318104 308327214 399583727 411102952 418977156 616654428 799167454 837954312 1198751181 1233308856 1598334908 2397502362 3196669816 4795004724 5194588451 9590009448 10389176902 15583765353 20778353804 31167530706 41556707608 62335061412 65132147501 124670122824 130264295002 195396442503 260528590004 390792885006 521057180008 781585770012 846717917513 1563171540024 1693435835026 2540153752539 3386871670052 5080307505078 6773743340104 10160615010156 20321230020312