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102112322220 = 22335189096893
BaseRepresentation
bin101111100011001011…
…1100110001010101100
3100202120101100102121000
41133012113212022230
53133111223302340
6114524301240300
710243303263216
oct1370627461254
9322511312530
10102112322220
113a33a820047
1217959263090
13982432314c
144d297d75b6
1529c98d7d30
hex17c65e62ac

102112322220 has 48 divisors (see below), whose sum is σ = 317682781920. Its totient is φ = 27229952448.

The previous prime is 102112322219. The next prime is 102112322233. The reversal of 102112322220 is 22223211201.

102112322220 is a `hidden beast` number, since 1 + 0 + 211 + 232 + 2 + 220 = 666.

It is a super-2 number, since 2×1021123222202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102112322193 and 102112322202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94547907 + ... + 94548986.

It is an arithmetic number, because the mean of its divisors is an integer number (6618391290).

Almost surely, 2102112322220 is an apocalyptic number.

102112322220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112322220 is an abundant number, since it is smaller than the sum of its proper divisors (215570459700).

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

102112322220 is a wasteful number, since it uses less digits than its factorization.

102112322220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189096911 (or 189096903 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102112322220 its reverse (22223211201), we get a palindrome (124335533421).

The spelling of 102112322220 in words is "one hundred two billion, one hundred twelve million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 189096893 378193786 567290679 756387572 945484465 1134581358 1701872037 1890968930 2269162716 2836453395 3403744074 3781937860 5105616111 5672906790 6807488148 8509360185 10211232222 11345813580 17018720370 20422464444 25528080555 34037440740 51056161110 102112322220