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102001111212 = 2237111312766863
BaseRepresentation
bin101111011111110111…
…1010111000010101100
3100202021122002022202210
41132333233113002230
53132344241024322
6114505245450420
710240453065660
oct1367757270254
9322248068683
10102001111212
113a292a71620
1217927b70a10
139807285810
144d18b288a0
1529bec6b70c
hex17bfbd70ac

102001111212 has 192 divisors, whose sum is σ = 322076934144. Its totient is φ = 24262882560.

The previous prime is 102001111181. The next prime is 102001111217. The reversal of 102001111212 is 212111100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102001111217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1492093 + ... + 1558955.

It is an arithmetic number, because the mean of its divisors is an integer number (1677484032).

Almost surely, 2102001111212 is an apocalyptic number.

102001111212 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 102001111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161038467072).

102001111212 is an abundant number, since it is smaller than the sum of its proper divisors (220075822932).

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

102001111212 is a wasteful number, since it uses less digits than its factorization.

102001111212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67028 (or 67026 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102001111212 its reverse (212111100201), we get a palindrome (314112211413).

The spelling of 102001111212 in words is "one hundred two billion, one million, one hundred eleven thousand, two hundred twelve".