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10029099700 = 22524710320717
BaseRepresentation
bin10010101011100011…
…11110101010110100
3221212221112001102001
421111301332222310
5131014422142300
64335102225044
7503346640504
oct112561765264
927787461361
1010029099700
114287190054
121b3a885184
13c3aa38729
146b1d79a04
153da70a16a
hex255c7eab4

10029099700 has 72 divisors (see below), whose sum is σ = 22443063552. Its totient is φ = 3887978880.

The previous prime is 10029099683. The next prime is 10029099727. The reversal of 10029099700 is 799092001.

It is a self number, because there is not a number n which added to its sum of digits gives 10029099700.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 473742 + ... + 494458.

It is an arithmetic number, because the mean of its divisors is an integer number (311709216).

Almost surely, 210029099700 is an apocalyptic number.

10029099700 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 10029099700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221531776).

10029099700 is an abundant number, since it is smaller than the sum of its proper divisors (12413963852).

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

10029099700 is a wasteful number, since it uses less digits than its factorization.

10029099700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20881 (or 20874 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The spelling of 10029099700 in words is "ten billion, twenty-nine million, ninety-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 103 188 206 235 412 470 515 940 1030 1175 2060 2350 2575 4700 4841 5150 9682 10300 19364 20717 24205 41434 48410 82868 96820 103585 121025 207170 242050 414340 484100 517925 973699 1035850 1947398 2071700 2133851 3894796 4267702 4868495 8535404 9736990 10669255 19473980 21338510 24342475 42677020 48684950 53346275 97369900 100290997 106692550 200581994 213385100 401163988 501454985 1002909970 2005819940 2507274925 5014549850 10029099700