Search a number
-
+
102122022210 = 23513580145139
BaseRepresentation
bin101111100011011110…
…0100110010101000010
3100202121001121020110220
41133012330212111002
53133121214202320
6114525245203510
710243451603115
oct1370674462502
9322531536426
10102122022210
113a34524586a
1217960560596
13982633b2a0
144d2ac0057c
1529ca6a1e40
hex17c6f26542

102122022210 has 64 divisors (see below), whose sum is σ = 263997498240. Its totient is φ = 25132838400.

The previous prime is 102122022199. The next prime is 102122022217. The reversal of 102122022210 is 12220221201.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102122022210.

It is not an unprimeable number, because it can be changed into a prime (102122022217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2239821 + ... + 2284959.

It is an arithmetic number, because the mean of its divisors is an integer number (4124960910).

Almost surely, 2102122022210 is an apocalyptic number.

102122022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102122022210 is an abundant number, since it is smaller than the sum of its proper divisors (161875476030).

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

102122022210 is a wasteful number, since it uses less digits than its factorization.

102122022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50963.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102122022210 its reverse (12220221201), we get a palindrome (114342243411).

The spelling of 102122022210 in words is "one hundred two billion, one hundred twenty-two million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 5801 11602 17403 29005 34806 45139 58010 75413 87015 90278 135417 150826 174030 225695 226239 270834 377065 451390 452478 586807 677085 754130 1131195 1173614 1354170 1760421 2262390 2934035 3520842 5868070 8802105 17604210 261851339 523702678 785554017 1309256695 1571108034 2618513390 3404067407 3927770085 6808134814 7855540170 10212202221 17020337035 20424404442 34040674070 51061011105 102122022210