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99999998100 = 223252111111109
BaseRepresentation
bin101110100100001110…
…1101110000010010100
3100120010011122020122100
41131020131232002110
53114244444414400
6113534523002100
710140043646652
oct1351035560224
9316104566570
1099999998100
1139456434732
1217469969330
13957880b912
144ba905ddd2
152904239100
hex174876e094

99999998100 has 54 divisors (see below), whose sum is σ = 313444441310. Its totient is φ = 26666665920.

The previous prime is 99999998099. The next prime is 99999998129. The reversal of 99999998100 is 189999999.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9733400964 + 90266597136 = 98658^2 + 300444^2 .

It is a super-2 number, since 2×999999981002 (a number of 23 digits) contains 22 as substring.

It is a nialpdrome in base 10.

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 17 ways as a sum of consecutive naturals, for example, 55554655 + ... + 55556454.

Almost surely, 299999998100 is an apocalyptic number.

99999998100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99999998100 is an abundant number, since it is smaller than the sum of its proper divisors (213444443210).

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

99999998100 is a wasteful number, since it uses less digits than its factorization.

99999998100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111111129 (or 111111119 counting only the distinct ones).

The product of its (nonzero) digits is 38263752, while the sum is 72.

The spelling of 99999998100 in words is "ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 111111109 222222218 333333327 444444436 555555545 666666654 999999981 1111111090 1333333308 1666666635 1999999962 2222222180 2777777725 3333333270 3999999924 4999999905 5555555450 6666666540 8333333175 9999999810 11111110900 16666666350 19999999620 24999999525 33333332700 49999999050 99999998100