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102200011011 = 36720027437
BaseRepresentation
bin101111100101110011…
…0000110100100000011
3100202210111100111000000
41133023212012210003
53133301200323021
6114541112531043
710245416521530
oct1371346064403
9322714314000
10102200011011
113a385272a1a
12179826b0a83
1398395460c7
144d37301d87
1529d2459b26
hex17cb986903

102200011011 has 28 divisors (see below), whose sum is σ = 175119917872. Its totient is φ = 58400003376.

The previous prime is 102200011003. The next prime is 102200011061. The reversal of 102200011011 is 110110002201.

It is a happy number.

It is not a de Polignac number, because 102200011011 - 23 = 102200011003 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200010984 and 102200011002.

It is not an unprimeable number, because it can be changed into a prime (102200011061) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10008616 + ... + 10018821.

Almost surely, 2102200011011 is an apocalyptic number.

102200011011 is a deficient number, since it is larger than the sum of its proper divisors (72919906861).

102200011011 is an frugal number, since it uses more digits than its factorization.

102200011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20027462 (or 20027447 counting only the distinct ones).

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

Adding to 102200011011 its reverse (110110002201), we get a palindrome (212310013212).

The spelling of 102200011011 in words is "one hundred two billion, two hundred million, eleven thousand, eleven".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 5103 20027437 60082311 140192059 180246933 420576177 540740799 1261728531 1622222397 3785185593 4866667191 11355556779 14600001573 34066670337 102200011011