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10343312334100 = 22521758710365079
BaseRepresentation
bin1001011010000011110101…
…1101010001110100010100
31100121210220012221211020201
42112200331131101310110
52323431100424142400
633555352503510244
72115164631133324
oct226407535216424
940553805854221
1010343312334100
113328635187a59
1211b072a458384
135a04a7349a95
1427a894709284
1512e0becc606a
hex9683d751d14

10343312334100 has 72 divisors (see below), whose sum is σ = 23805769458240. Its totient is φ = 3887318853120.

The previous prime is 10343312334079. The next prime is 10343312334107. The reversal of 10343312334100 is 143321334301.

It is a super-2 number, since 2×103433123341002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343312334107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4184640 + ... + 6180439.

It is an arithmetic number, because the mean of its divisors is an integer number (330635686920).

Almost surely, 210343312334100 is an apocalyptic number.

10343312334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343312334100 is an abundant number, since it is smaller than the sum of its proper divisors (13462457124140).

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

10343312334100 is a wasteful number, since it uses less digits than its factorization.

10343312334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10365697 (or 10365690 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 10343312334100 its reverse (143321334301), we get a palindrome (10486633668401).

The spelling of 10343312334100 in words is "ten trillion, three hundred forty-three billion, three hundred twelve million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 587 850 1174 1700 2348 2935 5870 9979 11740 14675 19958 29350 39916 49895 58700 99790 199580 249475 498950 997900 10365079 20730158 41460316 51825395 103650790 176206343 207301580 259126975 352412686 518253950 704825372 881031715 1036507900 1762063430 3524126860 4405158575 6084301373 8810317150 12168602746 17620634300 24337205492 30421506865 60843013730 103433123341 121686027460 152107534325 206866246682 304215068650 413732493364 517165616705 608430137300 1034331233410 2068662466820 2585828083525 5171656167050 10343312334100