Search a number
-
+
102321032100 = 223527371316873
BaseRepresentation
bin101111101001011001…
…1110000101110100100
3100210002221001222201120
41133102303300232210
53134023141011400
6115001114453540
710251416264640
oct1372263605644
9323087058646
10102321032100
113a437611951
12179b71342b0
139858639a11
144d49405c20
1529dcdb2ca0
hex17d2cf0ba4

102321032100 has 144 divisors (see below), whose sum is σ = 347486176128. Its totient is φ = 22755548160.

The previous prime is 102321032071. The next prime is 102321032117. The reversal of 102321032100 is 1230123201.

It is a super-2 number, since 2×1023210321002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102321032100.

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, 580737 + ... + 736136.

Almost surely, 2102321032100 is an apocalyptic number.

102321032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102321032100 is an abundant number, since it is smaller than the sum of its proper divisors (245165144028).

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

102321032100 is a wasteful number, since it uses less digits than its factorization.

102321032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316934 (or 1316927 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102321032100 its reverse (1230123201), we get a palindrome (103551155301).

The spelling of 102321032100 in words is "one hundred two billion, three hundred twenty-one million, thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 5180 5550 6475 7770 11100 12950 15540 19425 25900 38850 77700 1316873 2633746 3950619 5267492 6584365 7901238 9218111 13168730 15802476 18436222 19753095 26337460 27654333 32921825 36872444 39506190 46090555 48724301 55308666 65843650 79012380 92181110 97448602 98765475 110617332 131687300 138271665 146172903 184362220 194897204 197530950 230452775 243621505 276543330 292345806 341070107 395061900 460905550 487243010 553086660 584691612 682140214 691358325 730864515 921811100 974486020 1023210321 1218107525 1364280428 1382716650 1461729030 1705350535 2046420642 2436215050 2765433300 2923458060 3410701070 3654322575 4092841284 4872430100 5116051605 6821402140 7308645150 8526752675 10232103210 14617290300 17053505350 20464206420 25580258025 34107010700 51160516050 102321032100