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101002210106 = 2729710625101
BaseRepresentation
bin101111000010000110…
…0110110101100111010
3100122201000110220001112
41132010030312230322
53123323031210411
6114222203520322
710203633422600
oct1360414665472
9318630426045
10101002210106
1139920129416
12176a95290a2
1396a8341885
144c621c5870
152962205b8b
hex1784336b3a

101002210106 has 24 divisors (see below), whose sum is σ = 178055459316. Its totient is φ = 42840403200.

The previous prime is 101002210037. The next prime is 101002210151. The reversal of 101002210106 is 601012200101.

It can be written as a sum of positive squares in 2 ways, for example, as 100930113025 + 72097081 = 317695^2 + 8491^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5303045 + ... + 5322056.

Almost surely, 2101002210106 is an apocalyptic number.

101002210106 is a deficient number, since it is larger than the sum of its proper divisors (77053249210).

101002210106 is a wasteful number, since it uses less digits than its factorization.

101002210106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625214 (or 10625207 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101002210106 its reverse (601012200101), we get a palindrome (702014410207).

The spelling of 101002210106 in words is "one hundred one billion, two million, two hundred ten thousand, one hundred six".

Divisors: 1 2 7 14 49 97 98 194 679 1358 4753 9506 10625101 21250202 74375707 148751414 520629949 1030634797 1041259898 2061269594 7214443579 14428887158 50501105053 101002210106