Search a number
-
+
102100102021201 = 2341735572662787
BaseRepresentation
bin10111001101110000001000…
…010100000000000001010001
3111101111200012122202221021111
4113031300020110000001101
5101340302002104134301
61001052050033253321
730335326464606604
oct2715601024000121
9441450178687244
10102100102021201
112a5944569350a9
12b54b825704241
1344c7cc938a50b
141b2d9580bc33b
15bc0cd093a551
hex5cdc08500051

102100102021201 has 32 divisors (see below), whose sum is σ = 110831456832768. Its totient is φ = 93805051253760.

The previous prime is 102100102021199. The next prime is 102100102021223. The reversal of 102100102021201 is 102120201001201.

It is not a de Polignac number, because 102100102021201 - 21 = 102100102021199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100102021261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37011930 + ... + 39674716.

It is an arithmetic number, because the mean of its divisors is an integer number (3463483026024).

Almost surely, 2102100102021201 is an apocalyptic number.

It is an amenable number.

102100102021201 is a deficient number, since it is larger than the sum of its proper divisors (8731354811567).

102100102021201 is a wasteful number, since it uses less digits than its factorization.

102100102021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663481.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102100102021201 its reverse (102120201001201), we get a palindrome (204220303022402).

The spelling of 102100102021201 in words is "one hundred two trillion, one hundred billion, one hundred two million, twenty-one thousand, two hundred one".

Divisors: 1 23 41 73 557 943 1679 2993 12811 22837 40661 68839 525251 935203 1667101 2662787 38343323 61244101 109174267 194383451 1483172359 2511008141 4470819373 7969721491 34112964257 60810066719 108271582207 183303594293 1398631534537 2490246390761 4439134870487 102100102021201