Search a number
-
+
102022222212 = 2232101113248309
BaseRepresentation
bin101111100000011111…
…1111001000110000100
3100202100002210212121200
41133000333321012010
53132420142102322
6114511322142500
710241130403041
oct1370077710604
9322302725550
10102022222212
113a2a3980629
1217933051a30
13980b767831
144d1b8621c8
1529c1a3b8ac
hex17c0ff9184

102022222212 has 72 divisors (see below), whose sum is σ = 262748729880. Its totient is φ = 33372595200.

The previous prime is 102022222207. The next prime is 102022222261. The reversal of 102022222212 is 212222220201.

It can be written as a sum of positive squares in 4 ways, for example, as 3698585856 + 98323636356 = 60816^2 + 313566^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 286714 + ... + 535022.

It is an arithmetic number, because the mean of its divisors is an integer number (3649287915).

Almost surely, 2102022222212 is an apocalyptic number.

102022222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022222212 is an abundant number, since it is smaller than the sum of its proper divisors (160726507668).

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

102022222212 is a wasteful number, since it uses less digits than its factorization.

102022222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248533 (or 248528 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102022222212 its reverse (212222220201), we get a palindrome (314244442413).

The spelling of 102022222212 in words is "one hundred two billion, twenty-two million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 113 202 226 303 339 404 452 606 678 909 1017 1212 1356 1818 2034 3636 4068 11413 22826 34239 45652 68478 102717 136956 205434 248309 410868 496618 744927 993236 1489854 2234781 2979708 4469562 8939124 25079209 28058917 50158418 56117834 75237627 84176751 100316836 112235668 150475254 168353502 225712881 252530253 300950508 336707004 451425762 505060506 902851524 1010121012 2833950617 5667901234 8501851851 11335802468 17003703702 25505555553 34007407404 51011111106 102022222212