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10300011321100 = 2252431829328817
BaseRepresentation
bin1001010111100010100010…
…0001000001011100001100
31100110200010111110110012111
42111320220201001130030
52322223410344233400
633523432044513404
72112102611451034
oct225705041013414
940420114413174
1010300011321100
113311234962aa6
1211a4264b4b864
1359939641c0b7
1427874797a8c4
1512cdd85db3ba
hex95e2884170c

10300011321100 has 72 divisors (see below), whose sum is σ = 22406362026048. Its totient is φ = 4109807078400.

The previous prime is 10300011321073. The next prime is 10300011321107. The reversal of 10300011321100 is 112311000301.

It is not an unprimeable number, because it can be changed into a prime (10300011321107) by changing a digit.

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, 357413892 + ... + 357442708.

It is an arithmetic number, because the mean of its divisors is an integer number (311199472584).

Almost surely, 210300011321100 is an apocalyptic number.

10300011321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300011321100 is an abundant number, since it is smaller than the sum of its proper divisors (12106350704948).

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

10300011321100 is a wasteful number, since it uses less digits than its factorization.

10300011321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37555 (or 37548 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10300011321100 its reverse (112311000301), we get a palindrome (10412322321401).

The spelling of 10300011321100 in words is "ten trillion, three hundred billion, eleven million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 431 862 1724 2155 4310 8293 8620 10775 16586 21550 28817 33172 41465 43100 57634 82930 115268 144085 165860 207325 288170 414650 576340 720425 829300 1440850 2881700 3574283 7148566 12420127 14297132 17871415 24840254 35742830 49680508 62100635 71485660 89357075 124201270 178714150 238979381 248402540 310503175 357428300 477958762 621006350 955917524 1194896905 1242012700 2389793810 4779587620 5974484525 11948969050 23897938100 103000113211 206000226422 412000452844 515000566055 1030001132110 2060002264220 2575002830275 5150005660550 10300011321100