Search a number
-
+
102220211000 = 2353234444357
BaseRepresentation
bin101111100110011001…
…1001010001100111000
3100202211220100202011202
41133030303022030320
53133321333223000
6114543113513332
710246053312605
oct1371463121470
9322756322152
10102220211000
113a39570a526
1217989412848
13984079956b
144d39c7d6ac
1529d40e9dd5
hex17cccca338

102220211000 has 64 divisors (see below), whose sum is σ = 249595145280. Its totient is φ = 39110332800.

The previous prime is 102220210993. The next prime is 102220211021. The reversal of 102220211000 is 112022201.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2199179 + ... + 2245178.

It is an arithmetic number, because the mean of its divisors is an integer number (3899924145).

Almost surely, 2102220211000 is an apocalyptic number.

102220211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220211000 is an abundant number, since it is smaller than the sum of its proper divisors (147374934280).

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

102220211000 is a wasteful number, since it uses less digits than its factorization.

102220211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444401 (or 4444387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102220211000 its reverse (112022201), we get a palindrome (102332233201).

The spelling of 102220211000 in words is "one hundred two billion, two hundred twenty million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 11500 23000 4444357 8888714 17777428 22221785 35554856 44443570 88887140 102220211 111108925 177774280 204440422 222217850 408880844 444435700 511101055 555544625 817761688 888871400 1022202110 1111089250 2044404220 2222178500 2555505275 4088808440 4444357000 5111010550 10222021100 12777526375 20444042200 25555052750 51110105500 102220211000