Search a number
-
+
10099435700 = 22522341107099
BaseRepresentation
bin10010110011111100…
…10010100010110100
3222001211212111021002
421121332102202310
5131140423420300
64350053542432
7505162533644
oct113176224264
928054774232
1010099435700
114312960582
121b5a344a18
13c4c494173
146bb448524
153e19a05d5
hex259f928b4

10099435700 has 72 divisors (see below), whose sum is σ = 23426625600. Its totient is φ = 3769849600.

The previous prime is 10099435691. The next prime is 10099435711. The reversal of 10099435700 is 753499001.

It is a happy number.

10099435700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 40751 + ... + 147849.

It is an arithmetic number, because the mean of its divisors is an integer number (325369800).

Almost surely, 210099435700 is an apocalyptic number.

10099435700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10099435700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713312800).

10099435700 is an abundant number, since it is smaller than the sum of its proper divisors (13327189900).

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

10099435700 is a wasteful number, since it uses less digits than its factorization.

10099435700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107177 (or 107170 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The spelling of 10099435700 in words is "ten billion, ninety-nine million, four hundred thirty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 41 46 50 82 92 100 115 164 205 230 410 460 575 820 943 1025 1150 1886 2050 2300 3772 4100 4715 9430 18860 23575 47150 94300 107099 214198 428396 535495 1070990 2141980 2463277 2677475 4391059 4926554 5354950 8782118 9853108 10709900 12316385 17564236 21955295 24632770 43910590 49265540 61581925 87821180 100994357 109776475 123163850 201988714 219552950 246327700 403977428 439105900 504971785 1009943570 2019887140 2524858925 5049717850 10099435700