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103332122320 = 24571011826947
BaseRepresentation
bin110000000111100010…
…0110000111011010000
3100212201101121200202111
41200033010300323100
53143111010403240
6115245313555104
710315444355560
oct1401704607320
9325641550674
10103332122320
113a90631a9a9
1218039875a94
139989c5aa5b
1450037dcda0
152a4ba351ea
hex180f130ed0

103332122320 has 80 divisors (see below), whose sum is σ = 277286859648. Its totient is φ = 35077363200.

The previous prime is 103332122317. The next prime is 103332122321. The reversal of 103332122320 is 23221233301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1033321223203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103332122291 and 103332122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332122321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856914 + ... + 970033.

Almost surely, 2103332122320 is an apocalyptic number.

103332122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103332122320 is an abundant number, since it is smaller than the sum of its proper divisors (173954737328).

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

103332122320 is a wasteful number, since it uses less digits than its factorization.

103332122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827068 (or 1827062 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103332122320 its reverse (23221233301), we get a palindrome (126553355621).

The spelling of 103332122320 in words is "one hundred three billion, three hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 505 560 707 808 1010 1414 1616 2020 2828 3535 4040 5656 7070 8080 11312 14140 28280 56560 1826947 3653894 7307788 9134735 12788629 14615576 18269470 25577258 29231152 36538940 51154516 63943145 73077880 102309032 127886290 146155760 184521647 204618064 255772580 369043294 511545160 738086588 922608235 1023090320 1291651529 1476173176 1845216470 2583303058 2952346352 3690432940 5166606116 6458257645 7380865880 10333212232 12916515290 14761731760 20666424464 25833030580 51666061160 103332122320