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103322210112 = 26321147346961
BaseRepresentation
bin110000000111001111…
…0111100111101000000
3100212200200222002202200
41200032132330331000
53143100441210422
6115244321313200
710315264203162
oct1401636747500
9325620862680
10103322210112
113a90076a7a0
1218036495800
139987b9a144
14500237c932
152a4ac282ac
hex180e7bcf40

103322210112 has 168 divisors, whose sum is σ = 329952534912. Its totient is φ = 30643507200.

The previous prime is 103322210107. The next prime is 103322210119. The reversal of 103322210112 is 211012223301.

103322210112 is a `hidden beast` number, since 1 + 0 + 332 + 221 + 0 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103322210119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124312 + ... + 471272.

It is an arithmetic number, because the mean of its divisors is an integer number (1964003184).

Almost surely, 2103322210112 is an apocalyptic number.

103322210112 is a gapful number since it is divisible by the number (12) 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 103322210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164976267456).

103322210112 is an abundant number, since it is smaller than the sum of its proper divisors (226630324800).

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

103322210112 is a wasteful number, since it uses less digits than its factorization.

103322210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347037 (or 347024 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103322210112 its reverse (211012223301), we get a palindrome (314334433413).

The spelling of 103322210112 in words is "one hundred three billion, three hundred twenty-two million, two hundred ten thousand, one hundred twelve".