Search a number
-
+
102021100200100 = 225223430631030049
BaseRepresentation
bin10111001100100110100011…
…011011111110000010100100
3111101020010021212220121022101
4113030212203123332002210
5101333003203122400400
61000551502454141444
730326531653322554
oct2714464333760244
9441203255817271
10102021100200100
112a5639a6418664
12b538458051884
1344c0718ca5a03
141b29bc1b39164
15bbdc09ddd56a
hex5cc9a36fe0a4

102021100200100 has 72 divisors (see below), whose sum is σ = 231016845225600. Its totient is φ = 39033215738880.

The previous prime is 102021100200059. The next prime is 102021100200109. The reversal of 102021100200100 is 1002001120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102021100200109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98529876 + ... + 99559924.

It is an arithmetic number, because the mean of its divisors is an integer number (3208567294800).

Almost surely, 2102021100200100 is an apocalyptic number.

102021100200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021100200100 is an abundant number, since it is smaller than the sum of its proper divisors (128995745025500).

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

102021100200100 is a wasteful number, since it uses less digits than its factorization.

102021100200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073149 (or 1073142 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102021100200100 its reverse (1002001120201), we get a palindrome (103023101320301).

The spelling of 102021100200100 in words is "one hundred two trillion, twenty-one billion, one hundred million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 43063 86126 172252 215315 430630 861260 990449 1030049 1076575 1980898 2060098 2153150 3961796 4120196 4306300 4952245 5150245 9904490 10300490 19808980 20600980 23691127 24761225 25751225 47382254 49522450 51502450 94764508 99044900 103004900 118455635 236911270 473822540 592278175 1184556350 2369112700 44357000087 88714000174 177428000348 221785000435 443570000870 887140001740 1020211002001 1108925002175 2040422004002 2217850004350 4080844008004 4435700008700 5101055010005 10202110020010 20404220040020 25505275050025 51010550100050 102021100200100