Search a number
-
+
102111402222 = 23347137329303
BaseRepresentation
bin101111100011001010…
…0000101100011101110
3100202120022121200121000
41133012110011203232
53133111004332342
6114524225421130
710243262412054
oct1370624054356
9322508550530
10102111402222
113a33a251915
1217958a9a7a6
13982409047b
144d296381d4
1529c97a544c
hex17c65058ee

102111402222 has 64 divisors (see below), whose sum is σ = 231918888960. Its totient is φ = 33287540832.

The previous prime is 102111402149. The next prime is 102111402233. The reversal of 102111402222 is 222204111201.

102111402222 is a `hidden beast` number, since 10 + 21 + 11 + 402 + 222 = 666.

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 = 102111402195 and 102111402204.

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 31 ways as a sum of consecutive naturals, for example, 3470023 + ... + 3499325.

It is an arithmetic number, because the mean of its divisors is an integer number (3623732640).

Almost surely, 2102111402222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111402222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115959444480).

102111402222 is an abundant number, since it is smaller than the sum of its proper divisors (129807486738).

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

102111402222 is a wasteful number, since it uses less digits than its factorization.

102111402222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30734 (or 30728 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102111402222 its reverse (222204111201), we get a palindrome (324315513423).

The spelling of 102111402222 in words is "one hundred two billion, one hundred eleven million, four hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1373 2538 2746 4119 8238 12357 24714 29303 37071 58606 64531 74142 87909 129062 175818 193593 263727 387186 527454 580779 791181 1161558 1377241 1582362 1742337 2754482 3484674 4131723 8263446 12395169 24790338 37185507 40233019 74371014 80466038 120699057 241398114 362097171 724194342 1086291513 1890951893 2172583026 3781903786 5672855679 11345711358 17018567037 34037134074 51055701111 102111402222