Search a number
-
+
102210120201 = 3741611946081
BaseRepresentation
bin101111100110000110…
…0101010101000001001
3100202211012101002012110
41133030030222220021
53133311242321301
6114542113332533
710245601454430
oct1371414525011
9322735332173
10102210120201
113a38aa48122
1217985b67149
13983b675587
144d387b4117
1529d32a50d6
hex17cc32aa09

102210120201 has 32 divisors (see below), whose sum is σ = 162163120896. Its totient is φ = 56047104000.

The previous prime is 102210120193. The next prime is 102210120203. The reversal of 102210120201 is 102021012201.

It is not a de Polignac number, because 102210120201 - 23 = 102210120193 is a prime.

It is a super-3 number, since 3×1022101202013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210120203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920520 + ... + 1025561.

It is an arithmetic number, because the mean of its divisors is an integer number (5067597528).

Almost surely, 2102210120201 is an apocalyptic number.

It is an amenable number.

102210120201 is a deficient number, since it is larger than the sum of its proper divisors (59953000695).

102210120201 is a wasteful number, since it uses less digits than its factorization.

102210120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946193.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102210120201 its reverse (102021012201), we get a palindrome (204231132402).

The spelling of 102210120201 in words is "one hundred two billion, two hundred ten million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 21 41 61 123 183 287 427 861 1281 2501 7503 17507 52521 1946081 5838243 13622567 40867701 79789321 118710941 239367963 356132823 558525247 830976587 1675575741 2492929761 4867148581 14601445743 34070040067 102210120201