Search a number
-
+
102104433200 = 24527113315079
BaseRepresentation
bin101111100010111100…
…1100000001000110000
3100202112211111121220002
41133011321200020300
53133102213330300
6114523420205132
710243146235160
oct1370571401060
9322484447802
10102104433200
113a3363219a0
12179566997a8
1398227c03a3
144d287425a0
1529c8d7a5d5
hex17c5e60230

102104433200 has 120 divisors (see below), whose sum is σ = 305836020480. Its totient is φ = 31824748800.

The previous prime is 102104433199. The next prime is 102104433251. The reversal of 102104433200 is 2334401201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1626740 + ... + 1688339.

It is an arithmetic number, because the mean of its divisors is an integer number (2548633504).

Almost surely, 2102104433200 is an apocalyptic number.

102104433200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102104433200 is an abundant number, since it is smaller than the sum of its proper divisors (203731587280).

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

102104433200 is a wasteful number, since it uses less digits than its factorization.

102104433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315115 (or 3315104 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102104433200 its reverse (2334401201), we get a palindrome (104438834401).

The spelling of 102104433200 in words is "one hundred two billion, one hundred four million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 3315079 6630158 13260316 16575395 23205553 26520632 33150790 36465869 46411106 53041264 66301580 72931738 82876975 92822212 116027765 132603160 145863476 165753950 182329345 185644424 232055530 255261083 265206320 291726952 331507900 364658690 371288848 464111060 510522166 580138825 583453904 663015800 729317380 911646725 928222120 1021044332 1160277650 1276305415 1326031600 1458634760 1823293450 1856444240 2042088664 2320555300 2552610830 2917269520 3646586900 4084177328 4641110600 5105221660 6381527075 7293173800 9282221200 10210443320 12763054150 14586347600 20420886640 25526108300 51052216600 102104433200