Search a number
-
+
103366897725 = 35272135340823
BaseRepresentation
bin110000001000100100…
…1011011000000111101
3100212210211001110122110
41200101021123000331
53143143411211400
6115252555204233
710316346063600
oct1402111330075
9325724043573
10103366897725
113a923a12203
1218049446679
139994215510
145008292337
152a4eb03e50
hex181125b03d

103366897725 has 144 divisors (see below), whose sum is σ = 218139288192. Its totient is φ = 42794519040.

The previous prime is 103366897721. The next prime is 103366897747. The reversal of 103366897725 is 527798663301.

It is not a de Polignac number, because 103366897725 - 22 = 103366897721 is a prime.

It is a super-3 number, since 3×1033668977253 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103366897721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2511664 + ... + 2552486.

It is an arithmetic number, because the mean of its divisors is an integer number (1514856168).

Almost surely, 2103366897725 is an apocalyptic number.

103366897725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103366897725 is an abundant number, since it is smaller than the sum of its proper divisors (114772390467).

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

103366897725 is a wasteful number, since it uses less digits than its factorization.

103366897725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40916 (or 40904 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 103366897725 in words is "one hundred three billion, three hundred sixty-six million, eight hundred ninety-seven thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 53 65 75 91 105 147 159 175 195 245 265 273 325 371 455 525 637 689 735 795 975 1113 1225 1325 1365 1855 1911 2067 2275 2597 3185 3445 3675 3975 4823 5565 6825 7791 9275 9555 10335 12985 14469 15925 17225 24115 27825 33761 38955 40823 47775 51675 64925 72345 101283 120575 122469 168805 194775 204115 285761 361725 506415 530699 612345 844025 857283 1020575 1428805 1592097 2000327 2163619 2532075 2653495 3061725 3714893 4286415 6000981 6490857 7144025 7960485 10001635 10818095 11144679 13267475 15145333 18574465 21432075 26004251 28127047 30004905 32454285 39802425 45435999 50008175 54090475 55723395 75726665 78012753 84381141 92872325 106017331 130021255 140635235 150024525 162271425 196889329 227179995 278616975 318051993 378633325 390063765 421905705 530086655 590667987 650106275 703176175 984446645 1135899975 1378225303 1590259965 1950318825 2109528525 2650433275 2953339935 4134675909 4922233225 6891126515 7951299825 14766699675 20673379545 34455632575 103366897725