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101606111661 = 347219180273
BaseRepresentation
bin101111010100000110…
…0100011100110101101
3100201021002211021020210
41132220030203212231
53131042131033121
6114402135333033
710224615461535
oct1365014434655
9321232737223
10101606111661
113a10000160a
1217837821179
1397734a5282
144cbc4a64c5
15299a244876
hex17a83239ad

101606111661 has 24 divisors (see below), whose sum is σ = 139145025024. Its totient is φ = 65948264320.

The previous prime is 101606111657. The next prime is 101606111671. The reversal of 101606111661 is 166111606101.

It is not a de Polignac number, because 101606111661 - 22 = 101606111657 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101606111611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225621 + ... + 1305893.

It is an arithmetic number, because the mean of its divisors is an integer number (5797709376).

Almost surely, 2101606111661 is an apocalyptic number.

It is an amenable number.

101606111661 is a deficient number, since it is larger than the sum of its proper divisors (37538913363).

101606111661 is an equidigital number, since it uses as much as digits as its factorization.

101606111661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80561 (or 80514 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

Adding to 101606111661 its reverse (166111606101), we get a palindrome (267717717762).

The spelling of 101606111661 in words is "one hundred one billion, six hundred six million, one hundred eleven thousand, six hundred sixty-one".

Divisors: 1 3 47 141 191 573 2209 6627 8977 26931 80273 240819 421919 1265757 3772831 11318493 15332143 45996429 177323057 531969171 720610721 2161832163 33868703887 101606111661