Search a number
-
+
101706004200 = 23352169510007
BaseRepresentation
bin101111010111000100…
…1100111011011101000
3100201112001210100001110
41132232021213123220
53131243214113300
6114420104350320
710230240525453
oct1365611473350
9321461710043
10101706004200
113a15142a329
12178651753a0
13978b0abb98
144ccb86a49a
1529a3dc7550
hex17ae2676e8

101706004200 has 48 divisors (see below), whose sum is σ = 315288614880. Its totient is φ = 27121600960.

The previous prime is 101706004187. The next prime is 101706004207. The reversal of 101706004200 is 2400607101.

It is a super-2 number, since 2×1017060042002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101706004207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84754404 + ... + 84755603.

It is an arithmetic number, because the mean of its divisors is an integer number (6568512810).

Almost surely, 2101706004200 is an apocalyptic number.

101706004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101706004200 is an abundant number, since it is smaller than the sum of its proper divisors (213582610680).

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

101706004200 is a wasteful number, since it uses less digits than its factorization.

101706004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169510026 (or 169510017 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 101706004200 in words is "one hundred one billion, seven hundred six million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 169510007 339020014 508530021 678040028 847550035 1017060042 1356080056 1695100070 2034120084 2542650105 3390200140 4068240168 4237750175 5085300210 6780400280 8475500350 10170600420 12713250525 16951000700 20341200840 25426501050 33902001400 50853002100 101706004200