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103323113300 = 225211432279623
BaseRepresentation
bin110000000111010001…
…0011001011101010100
3100212200202122222201002
41200032202121131110
53143101204111200
6115244352522432
710315304654321
oct1401642313524
9325622588632
10103323113300
113a901227330
1218036850418
139988125284
145002535b48
152a4ad55bd5
hex180e899754

103323113300 has 144 divisors (see below), whose sum is σ = 251410908672. Its totient is φ = 36532809600.

The previous prime is 103323113297. The next prime is 103323113303. The reversal of 103323113300 is 3311323301.

It is an interprime number because it is at equal distance from previous prime (103323113297) and next prime (103323113303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103323113303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10732289 + ... + 10741911.

It is an arithmetic number, because the mean of its divisors is an integer number (1745909088).

Almost surely, 2103323113300 is an apocalyptic number.

103323113300 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 103323113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125705454336).

103323113300 is an abundant number, since it is smaller than the sum of its proper divisors (148087795372).

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

103323113300 is a wasteful number, since it uses less digits than its factorization.

103323113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9918 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103323113300 its reverse (3311323301), we get a palindrome (106634436601).

The spelling of 103323113300 in words is "one hundred three billion, three hundred twenty-three million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 227 275 430 454 473 550 860 908 946 1075 1100 1135 1892 2150 2270 2365 2497 4300 4540 4730 4994 5675 9460 9623 9761 9988 11350 11825 12485 19246 19522 22700 23650 24970 38492 39044 47300 48115 48805 49940 62425 96230 97610 105853 107371 124850 192460 195220 211706 214742 240575 244025 249700 413789 423412 429484 481150 488050 529265 536855 827578 962300 976100 1058530 1073710 1655156 2068945 2117060 2147420 2184421 2646325 2684275 4137890 4368842 4551679 5292650 5368550 8275780 8737684 9103358 10344725 10585300 10737100 10922105 18206716 20689450 21844210 22758395 24028631 41378900 43688420 45516790 48057262 54610525 91033580 93930103 96114524 109221050 113791975 120143155 187860206 218442100 227583950 240286310 375720412 455167900 469650515 480572620 600715775 939301030 1033231133 1201431550 1878602060 2066462266 2348252575 2402863100 4132924532 4696505150 5166155665 9393010300 10332311330 20664622660 25830778325 51661556650 103323113300