Search a number
-
+
103186853980 = 225717313138517
BaseRepresentation
bin110000000011001101…
…0100111000001011100
3100212100021021022001121
41200012122213001130
53142311313311410
6115223044220324
710312031533660
oct1400632470134
9325307238047
10103186853980
113a84131a721
1217bb909a6a4
139965b27762
144dcc3c68a0
152a3dddc9da
hex18066a705c

103186853980 has 96 divisors (see below), whose sum is σ = 263055655296. Its totient is φ = 33190649856.

The previous prime is 103186853927. The next prime is 103186853993. The reversal of 103186853980 is 89358681301.

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, 675682 + ... + 814198.

It is an arithmetic number, because the mean of its divisors is an integer number (2740163076).

Almost surely, 2103186853980 is an apocalyptic number.

103186853980 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 103186853980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131527827648).

103186853980 is an abundant number, since it is smaller than the sum of its proper divisors (159868801316).

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

103186853980 is a wasteful number, since it uses less digits than its factorization.

103186853980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138863 (or 138861 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 103186853980 in words is "one hundred three billion, one hundred eighty-six million, eight hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 313 340 476 595 626 1190 1252 1565 2191 2380 3130 4382 5321 6260 8764 10642 10955 21284 21910 26605 37247 43820 53210 74494 106420 138517 148988 186235 277034 372470 554068 692585 744940 969619 1385170 1939238 2354789 2770340 3878476 4709578 4848095 9419156 9696190 11773945 16483523 19392380 23547890 32967046 43355821 47095780 65934092 82417615 86711642 164835230 173423284 216779105 303490747 329670460 433558210 606981494 737048957 867116420 1213962988 1474097914 1517453735 2948195828 3034907470 3685244785 5159342699 6069814940 7370489570 10318685398 14740979140 20637370796 25796713495 51593426990 103186853980