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102200120001 = 3272983673961
BaseRepresentation
bin101111100101110011…
…0100001001011000001
3100202210111120000111200
41133023212201023001
53133301212320001
6114541115131413
710245420454350
oct1371346411301
9322714500450
10102200120001
113a3853378a1
1217982743b69
1398395838b5
144d3732d997
1529d247c086
hex17cb9a12c1

102200120001 has 48 divisors (see below), whose sum is σ = 176631960960. Its totient is φ = 55706837760.

The previous prime is 102200119999. The next prime is 102200120021. The reversal of 102200120001 is 100021002201.

It is not a de Polignac number, because 102200120001 - 21 = 102200119999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102200120021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185340 + ... + 488621.

It is an arithmetic number, because the mean of its divisors is an integer number (3679832520).

Almost surely, 2102200120001 is an apocalyptic number.

It is an amenable number.

102200120001 is a deficient number, since it is larger than the sum of its proper divisors (74431840959).

102200120001 is a wasteful number, since it uses less digits than its factorization.

102200120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674086 (or 674083 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102200120001 its reverse (100021002201), we get a palindrome (202221122202).

The spelling of 102200120001 in words is "one hundred two billion, two hundred million, one hundred twenty thousand, one".

Divisors: 1 3 7 9 21 29 63 83 87 203 249 261 581 609 747 1743 1827 2407 5229 7221 16849 21663 50547 151641 673961 2021883 4717727 6065649 14153181 19544869 42459543 55938763 58634607 136814083 167816289 175903821 391571341 410442249 503448867 1174714023 1231326747 1622224127 3524142069 4866672381 11355568889 14600017143 34066706667 102200120001