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312403342102340 = 22543834483976271
BaseRepresentation
bin100011100001000010001001…
…0001110111000111101000100
31111222010110122001100110011112
41013002010102032320331010
5311421404021034233330
63024232040351224152
7122542253022011156
oct10702042216707504
91458113561313145
10312403342102340
11905a5571307675
122b055a3b218058
131054167c966788
14572058c3d2ad6
15261b4db795795
hex11c21123b8f44

312403342102340 has 96 divisors (see below), whose sum is σ = 679544169486336. Its totient is φ = 120557692241280.

The previous prime is 312403342102309. The next prime is 312403342102367. The reversal of 312403342102340 is 43201243304213.

It is a junction number, because it is equal to n+sod(n) for n = 312403342102297 and 312403342102306.

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, 319508405 + ... + 320484675.

It is an arithmetic number, because the mean of its divisors is an integer number (7078585098816).

Almost surely, 2312403342102340 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 312403342102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339772084743168).

312403342102340 is an abundant number, since it is smaller than the sum of its proper divisors (367140827383996).

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

312403342102340 is a wasteful number, since it uses less digits than its factorization.

312403342102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980889 (or 980887 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 312403342102340 its reverse (43201243304213), we get a palindrome (355604585406553).

The spelling of 312403342102340 in words is "three hundred twelve trillion, four hundred three billion, three hundred forty-two million, one hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 83 86 166 172 215 332 415 430 830 860 1660 3569 4483 7138 8966 14276 17845 17932 22415 35690 44830 71380 89660 192769 372089 385538 744178 771076 963845 976271 1488356 1860445 1927690 1952542 3720890 3855380 3905084 4881355 7441780 9762710 15999827 19525420 31999654 41979653 63999308 79999135 81030493 83959306 159998270 162060986 167918612 209898265 319996540 324121972 405152465 419796530 810304930 839593060 1620609860 3484311199 4376622893 6968622398 8753245786 13937244796 17421555995 17506491572 21883114465 34843111990 43766228930 69686223980 87532457860 188194784399 363259700119 376389568798 726519400238 752779137596 940973921995 1453038800476 1816298500595 1881947843990 3632597001190 3763895687980 7265194002380 15620167105117 31240334210234 62480668420468 78100835525585 156201671051170 312403342102340