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10000099120 = 2451111363749
BaseRepresentation
bin10010101000000110…
…10110011100110000
3221210220221200002111
421110003112130300
5130440011132440
64332144455104
7502545303634
oct112403263460
927726850074
1010000099120
114271882530
121b3101a494
13c34a2361b
146ac18adc4
153d7dcc4ea
hex2540d6730

10000099120 has 40 divisors (see below), whose sum is σ = 25363890000. Its totient is φ = 3636399360.

The previous prime is 10000099079. The next prime is 10000099127. The reversal of 10000099120 is 2199000001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10000099091 and 10000099100.

It is not an unprimeable number, because it can be changed into a prime (10000099127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5680995 + ... + 5682754.

It is an arithmetic number, because the mean of its divisors is an integer number (634097250).

Almost surely, 210000099120 is an apocalyptic number.

10000099120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000099120 is an abundant number, since it is smaller than the sum of its proper divisors (15363790880).

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

10000099120 is a wasteful number, since it uses less digits than its factorization.

10000099120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11363773 (or 11363767 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 10000099120 its reverse (2199000001), we get a palindrome (12199099121).

The spelling of 10000099120 in words is "ten billion, ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11363749 22727498 45454996 56818745 90909992 113637490 125001239 181819984 227274980 250002478 454549960 500004956 625006195 909099920 1000009912 1250012390 2000019824 2500024780 5000049560 10000099120