Search a number
-
+
102010002222 = 231710174313327
BaseRepresentation
bin101111100000001000…
…1010001101100101110
3100202022020211000221110
41133000101101230232
53132404030032342
6114510204212450
710240621466202
oct1370021215456
9322266730843
10102010002222
113a297a94567
121792ab3a126
13980907967b
144d19da0b02
1529c0925c9c
hex17c0451b2e

102010002222 has 64 divisors (see below), whose sum is σ = 218470017024. Its totient is φ = 31641254400.

The previous prime is 102010002203. The next prime is 102010002257. The reversal of 102010002222 is 222200010201.

It is a junction number, because it is equal to n+sod(n) for n = 102010002198 and 102010002207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7647723 + ... + 7661049.

It is an arithmetic number, because the mean of its divisors is an integer number (3413594016).

Almost surely, 2102010002222 is an apocalyptic number.

102010002222 is an abundant number, since it is smaller than the sum of its proper divisors (116460014802).

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

102010002222 is a wasteful number, since it uses less digits than its factorization.

102010002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14193.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102010002222 its reverse (222200010201), we get a palindrome (324210012423).

The spelling of 102010002222 in words is "one hundred two billion, ten million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 101 102 202 303 606 743 1486 1717 2229 3434 4458 5151 10302 12631 13327 25262 26654 37893 39981 75043 75786 79962 150086 225129 226559 450258 453118 679677 1275731 1346027 1359354 2551462 2692054 3827193 4038081 7654386 8076162 9901961 19803922 22882459 29705883 45764918 59411766 68647377 137294754 168333337 336666674 505000011 1000098061 1010000022 2000196122 3000294183 6000588366 17001667037 34003334074 51005001111 102010002222