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102102102222120 = 233457211134497359
BaseRepresentation
bin10111001101110001111111…
…100010001010010100101000
3111101111212101001111200010000
4113031301333202022110220
5101340320101132101440
61001053020324423000
730335430163206300
oct2715617742122450
9441455331450100
10102102102222120
112a5952929a9710
12b5500a3547a60
1344c82578a5160
141b2daa79ca600
15bc0d9b33c730
hex5cdc7f88a528

102102102222120 has 960 divisors, whose sum is σ = 468996573830400. Its totient is φ = 19584015252480.

The previous prime is 102102102222119. The next prime is 102102102222163. The reversal of 102102102222120 is 21222201201201.

It is a happy number.

102102102222120 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 210 + 222 + 212 + 0 = 666.

102102102222120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 102102102222093 and 102102102222102.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20454001 + ... + 24951359.

It is an arithmetic number, because the mean of its divisors is an integer number (488538097740).

Almost surely, 2102102102222120 is an apocalyptic number.

102102102222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102102222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234498286915200).

102102102222120 is an abundant number, since it is smaller than the sum of its proper divisors (366894471608280).

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

102102102222120 is a wasteful number, since it uses less digits than its factorization.

102102102222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497420 (or 4497400 counting only the distinct ones).

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

Adding to 102102102222120 its reverse (21222201201201), we get a palindrome (123324303423321).

The spelling of 102102102222120 in words is "one hundred two trillion, one hundred two billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty".