Search a number
-
+
10312332404340 = 2235673251789067
BaseRepresentation
bin1001011000010000011011…
…1010001110011001110100
31100111211221011202022221210
42112010012322032121310
52322424124043414330
633533230424241420
72113020132104361
oct226040672163164
940454834668853
1010312332404340
11331648788921a
1211a6723310270
1359a5aac53bb5
14279196099468
1512d3aa1328b0
hex96106e8e674

10312332404340 has 96 divisors (see below), whose sum is σ = 29314545329664. Its totient is φ = 2708074512000.

The previous prime is 10312332404323. The next prime is 10312332404383. The reversal of 10312332404340 is 4340423321301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10312332404298 and 10312332404307.

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, 12674487 + ... + 13463553.

It is an arithmetic number, because the mean of its divisors is an integer number (305359847184).

Almost surely, 210312332404340 is an apocalyptic number.

10312332404340 is a gapful number since it is divisible by the number (10) 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 10312332404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657272664832).

10312332404340 is an abundant number, since it is smaller than the sum of its proper divisors (19002212925324).

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

10312332404340 is a wasteful number, since it uses less digits than its factorization.

10312332404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792397 (or 792395 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10312332404340 its reverse (4340423321301), we get a palindrome (14652755725641).

The spelling of 10312332404340 in words is "ten trillion, three hundred twelve billion, three hundred thirty-two million, four hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 3251 4020 6502 9753 13004 16255 19506 32510 39012 48765 65020 97530 195060 217817 435634 653451 789067 871268 1089085 1306902 1578134 2178170 2367201 2613804 3156268 3267255 3945335 4356340 4734402 6534510 7890670 9468804 11836005 13069020 15781340 23672010 47344020 52867489 105734978 158602467 211469956 264337445 317204934 528674890 634409868 793012335 1057349780 1586024670 2565256817 3172049340 5130513634 7695770451 10261027268 12826284085 15391540902 25652568170 30783081804 38478852255 51305136340 76957704510 153915409020 171872206739 343744413478 515616620217 687488826956 859361033695 1031233240434 1718722067390 2062466480868 2578083101085 3437444134780 5156166202170 10312332404340