Search a number
-
+
104225141100 = 223524396131291
BaseRepresentation
bin110000100010001001…
…1010111000101101100
3100222000121222202020010
41201010103113011230
53201423114003400
6115514054253220
710346540040063
oct1410423270554
9328017882203
10104225141100
1140224414153
1218248957210
139a9cc7b932
14508a25d1da
152aa0133450
hex18444d716c

104225141100 has 144 divisors (see below), whose sum is σ = 302972552960. Its totient is φ = 27663379200.

The previous prime is 104225141093. The next prime is 104225141123. The reversal of 104225141100 is 1141522401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80731455 + ... + 80732745.

Almost surely, 2104225141100 is an apocalyptic number.

104225141100 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 104225141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151486276480).

104225141100 is an abundant number, since it is smaller than the sum of its proper divisors (198747411860).

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

104225141100 is a wasteful number, since it uses less digits than its factorization.

104225141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 104225141100 its reverse (1141522401), we get a palindrome (105366663501).

The spelling of 104225141100 in words is "one hundred four billion, two hundred twenty-five million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 439 613 878 1226 1291 1317 1756 1839 2195 2452 2582 2634 3065 3678 3873 4390 5164 5268 6130 6455 6585 7356 7746 8780 9195 10975 12260 12910 13170 15325 15492 18390 19365 21950 25820 26340 30650 32275 32925 36780 38730 43900 45975 61300 64550 65850 77460 91950 96825 129100 131700 183900 193650 269107 387300 538214 566749 791383 807321 1076428 1133498 1345535 1582766 1614642 1700247 2266996 2374149 2691070 2833745 3165532 3229284 3400494 3956915 4036605 4748298 5382140 5667490 6727675 6800988 7913830 8073210 8501235 9496596 11334980 11870745 13455350 14168725 15827660 16146420 17002470 19784575 20183025 23741490 26910700 28337450 34004940 39569150 40366050 42506175 47482980 56674900 59353725 79138300 80732100 85012350 118707450 170024700 237414900 347417137 694834274 1042251411 1389668548 1737085685 2084502822 3474171370 4169005644 5211257055 6948342740 8685428425 10422514110 17370856850 20845028220 26056285275 34741713700 52112570550 104225141100