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102011001210 = 2335171031271699
BaseRepresentation
bin101111100000001010…
…1000101100101111010
3100202022022200210022000
41133000111011211322
53132404304014320
6114510241441430
710240633126536
oct1370025054572
9322268623260
10102011001210
113a298607078
121792b340276
1398093392a1
144d1a180bc6
1529c0a71c90
hex17c054597a

102011001210 has 256 divisors, whose sum is σ = 293289984000. Its totient is φ = 25139745792.

The previous prime is 102011001187. The next prime is 102011001217. The reversal of 102011001210 is 12100110201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102011001192 and 102011001201.

It is not an unprimeable number, because it can be changed into a prime (102011001217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60040941 + ... + 60042639.

It is an arithmetic number, because the mean of its divisors is an integer number (1145664000).

Almost surely, 2102011001210 is an apocalyptic number.

102011001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146644992000).

102011001210 is an abundant number, since it is smaller than the sum of its proper divisors (191278982790).

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

102011001210 is a wasteful number, since it uses less digits than its factorization.

102011001210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102011001210 its reverse (12100110201), we get a palindrome (114111111411).

The spelling of 102011001210 in words is "one hundred two billion, eleven million, one thousand, two hundred ten".