Search a number
-
+
102270243000 = 2335379742773
BaseRepresentation
bin101111100111111001…
…0000001000010111000
3100202222101111122011210
41133033302001002320
53133422140234000
6114552102123120
710250231502522
oct1371762010270
9322871448153
10102270243000
113a410982292
12179a21204a0
13984ac663b3
144d42784a12
1529d86ce350
hex17cfc810b8

102270243000 has 128 divisors (see below), whose sum is σ = 319490982720. Its totient is φ = 27237209600.

The previous prime is 102270242993. The next prime is 102270243041. The reversal of 102270243000 is 342072201.

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, 2369614 + ... + 2412386.

Almost surely, 2102270243000 is an apocalyptic number.

102270243000 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 102270243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159745491360).

102270243000 is an abundant number, since it is smaller than the sum of its proper divisors (217220739720).

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

102270243000 is a wasteful number, since it uses less digits than its factorization.

102270243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43594 (or 43580 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The spelling of 102270243000 in words is "one hundred two billion, two hundred seventy million, two hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 797 1000 1500 1594 2391 3000 3188 3985 4782 6376 7970 9564 11955 15940 19128 19925 23910 31880 39850 42773 47820 59775 79700 85546 95640 99625 119550 128319 159400 171092 199250 213865 239100 256638 298875 342184 398500 427730 478200 513276 597750 641595 797000 855460 1026552 1069325 1195500 1283190 1710920 2138650 2391000 2566380 3207975 4277300 5132760 5346625 6415950 8554600 10693250 12831900 16039875 21386500 25663800 32079750 34090081 42773000 64159500 68180162 102270243 128319000 136360324 170450405 204540486 272720648 340900810 409080972 511351215 681801620 818161944 852252025 1022702430 1363603240 1704504050 2045404860 2556756075 3409008100 4090809720 4261260125 5113512150 6818016200 8522520250 10227024300 12783780375 17045040500 20454048600 25567560750 34090081000 51135121500 102270243000