Search a number
-
+
102100002220 = 22542112125891
BaseRepresentation
bin101111100010110100…
…0100110010110101100
3100202112112011111201201
41133011220212112230
53133100100032340
6114523141215244
710243063461646
oct1370550462654
9322475144651
10102100002220
113a333875927
1217955101524
1398218cb5c8
144d27d0b896
1529c87a279a
hex17c5a265ac

102100002220 has 24 divisors (see below), whose sum is σ = 214919309808. Its totient is φ = 40742990400.

The previous prime is 102100002217. The next prime is 102100002239. The reversal of 102100002220 is 22200001201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102100002197 and 102100002206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6054526 + ... + 6071365.

It is an arithmetic number, because the mean of its divisors is an integer number (8954971242).

Almost surely, 2102100002220 is an apocalyptic number.

102100002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100002220 is an abundant number, since it is smaller than the sum of its proper divisors (112819307588).

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

102100002220 is a wasteful number, since it uses less digits than its factorization.

102100002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12126321 (or 12126319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102100002220 its reverse (22200001201), we get a palindrome (124300003421).

The spelling of 102100002220 in words is "one hundred two billion, one hundred million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 421 842 1684 2105 4210 8420 12125891 24251782 48503564 60629455 121258910 242517820 5105000111 10210000222 20420000444 25525000555 51050001110 102100002220