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101011700106 = 234623529013
BaseRepresentation
bin101111000010011000…
…1000011100110001010
3100122201200100000220000
41132010301003212022
53123332443400411
6114223143143430
710204110166332
oct1360461034612
9318650300800
10101011700106
1139925520399
12176b0744b76
1396aa2b5265
144c635760c2
152962e7c956
hex1784c4398a

101011700106 has 20 divisors (see below), whose sum is σ = 226341032082. Its totient is φ = 33670566648.

The previous prime is 101011700099. The next prime is 101011700129. The reversal of 101011700106 is 601007110101.

It can be written as a sum of positive squares in only one way, i.e., 94879400625 + 6132299481 = 308025^2 + 78309^2 .

It is a super-2 number, since 2×1010117001062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 311764345 + ... + 311764668.

Almost surely, 2101011700106 is an apocalyptic number.

101011700106 is an abundant number, since it is smaller than the sum of its proper divisors (125329331976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011700106 is an equidigital number, since it uses as much as digits as its factorization.

101011700106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623529027 (or 623529018 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

Adding to 101011700106 its reverse (601007110101), we get a palindrome (702018810207).

The spelling of 101011700106 in words is "one hundred one billion, eleven million, seven hundred thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 623529013 1247058026 1870587039 3741174078 5611761117 11223522234 16835283351 33670566702 50505850053 101011700106