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103312302000 = 2435335947963
BaseRepresentation
bin110000000110111100…
…1001001111110110000
3100212200000022201101120
41200031321021332300
53143040422131000
6115243325102240
710315114035435
oct1401571117660
9325600281346
10103312302000
113a8a6112676
12180330b7980
139985b0b35b
145000d1db8c
152a49e1c6a0
hex180de49fb0

103312302000 has 160 divisors (see below), whose sum is σ = 334013621760. Its totient is φ = 27472633600.

The previous prime is 103312301999. The next prime is 103312302113. The reversal of 103312302000 is 203213301.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2130019 + ... + 2177981.

It is an arithmetic number, because the mean of its divisors is an integer number (2087585136).

Almost surely, 2103312302000 is an apocalyptic number.

103312302000 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 103312302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167006810880).

103312302000 is an abundant number, since it is smaller than the sum of its proper divisors (230701319760).

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

103312302000 is a wasteful number, since it uses less digits than its factorization.

103312302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48348 (or 48332 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103312302000 its reverse (203213301), we get a palindrome (103515515301).

The spelling of 103312302000 in words is "one hundred three billion, three hundred twelve million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 359 375 400 500 600 718 750 1000 1077 1200 1436 1500 1795 2000 2154 2872 3000 3590 4308 5385 5744 6000 7180 8616 8975 10770 14360 17232 17950 21540 26925 28720 35900 43080 44875 47963 53850 71800 86160 89750 95926 107700 134625 143600 143889 179500 191852 215400 239815 269250 287778 359000 383704 430800 479630 538500 575556 718000 719445 767408 959260 1077000 1151112 1199075 1438890 1918520 2154000 2302224 2398150 2877780 3597225 3837040 4796300 5755560 5995375 7194450 9592600 11511120 11990750 14388900 17218717 17986125 19185200 23981500 28777800 34437434 35972250 47963000 51656151 57555600 68874868 71944500 86093585 95926000 103312302 137749736 143889000 172187170 206624604 258280755 275499472 287778000 344374340 413249208 430467925 516561510 688748680 826498416 860935850 1033123020 1291403775 1377497360 1721871700 2066246040 2152339625 2582807550 3443743400 4132492080 4304679250 5165615100 6457018875 6887486800 8609358500 10331230200 12914037750 17218717000 20662460400 25828075500 34437434000 51656151000 103312302000