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102120111120222 = 233131923295315187
BaseRepresentation
bin10111001110000010110000…
…111100101001111101011110
3111101120120212010102111001000
4113032002300330221331132
5101341113441421321342
61001105155325531130
730336635360261346
oct2716026074517536
9441516763374030
10102120111120222
112a5a1994509378
12b55368a713aa6
1344c9b678cc890
141b308d5691d26
15bc15a23a244c
hex5ce0b0f29f5e

102120111120222 has 384 divisors, whose sum is σ = 269223751641600. Its totient is φ = 28441802543616.

The previous prime is 102120111120193. The next prime is 102120111120227. The reversal of 102120111120222 is 222021111021201.

102120111120222 is a `hidden beast` number, since 1 + 0 + 212 + 0 + 111 + 120 + 222 = 666.

It is a super-3 number, since 3×1021201111202223 (a number of 43 digits) contains 333 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 = 102120111120195 and 102120111120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120111120227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6724171713 + ... + 6724186899.

It is an arithmetic number, because the mean of its divisors is an integer number (701103519900).

Almost surely, 2102120111120222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120111120222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134611875820800).

102120111120222 is an abundant number, since it is smaller than the sum of its proper divisors (167103640521378).

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

102120111120222 is a wasteful number, since it uses less digits than its factorization.

102120111120222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16229 (or 16200 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102120111120222 its reverse (222021111021201), we get a palindrome (324141222141423).

The spelling of 102120111120222 in words is "one hundred two trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty thousand, two hundred twenty-two".