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102200022001 = 7112541322291
BaseRepresentation
bin101111100101110011…
…0001001001111110001
3100202210111101001002001
41133023212021033301
53133301201201001
6114541113054001
710245416565550
oct1371346111761
9322714331061
10102200022001
113a385280200
12179826b7301
13983954b0cc
144d37305d97
1529d245d001
hex17cb9893f1

102200022001 has 24 divisors (see below), whose sum is σ = 128412976832. Its totient is φ = 79618096800.

The previous prime is 102200021977. The next prime is 102200022007. The reversal of 102200022001 is 100220002201.

It is not a de Polignac number, because 102200022001 - 27 = 102200021873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102200022007) 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, 4573666 + ... + 4595956.

Almost surely, 2102200022001 is an apocalyptic number.

102200022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102200022001 is a deficient number, since it is larger than the sum of its proper divisors (26212954831).

102200022001 is a wasteful number, since it uses less digits than its factorization.

102200022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27733 (or 27722 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102200022001 its reverse (100220002201), we get a palindrome (202420024202).

It can be divided in two parts, 10220002200 and 1, that added together give a palindrome (10220002201).

The spelling of 102200022001 in words is "one hundred two billion, two hundred million, twenty-two thousand, one".

Divisors: 1 7 11 77 121 847 5413 22291 37891 59543 156037 245201 416801 654973 1716407 2697211 4584811 18880477 120661183 844628281 1327273013 9290911091 14600003143 102200022001