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11147422100 = 2252354131481
BaseRepresentation
bin10100110000111000…
…00010100110010100
31001202212211201100012
422120130002212110
5140312220001400
65042051535352
7543146344613
oct123034024624
931685751305
1011147422100
11480047a241
1221b12ba558
131088633069
1477a6c787a
154539aed35
hex298702994

11147422100 has 36 divisors (see below), whose sum is σ = 24197505948. Its totient is φ = 4457568000.

The previous prime is 11147422081. The next prime is 11147422109. The reversal of 11147422100 is 122474111.

It can be written as a sum of positive squares in 6 ways, for example, as 2123182084 + 9024240016 = 46078^2 + 94996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11147422109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338360 + ... + 369840.

It is an arithmetic number, because the mean of its divisors is an integer number (672152943).

Almost surely, 211147422100 is an apocalyptic number.

11147422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11147422100 is an abundant number, since it is smaller than the sum of its proper divisors (13050083848).

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

11147422100 is a wasteful number, since it uses less digits than its factorization.

11147422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35036 (or 35029 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 11147422100 its reverse (122474111), we get a palindrome (11269896211).

The spelling of 11147422100 in words is "eleven billion, one hundred forty-seven million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3541 7082 14164 17705 31481 35410 62962 70820 88525 125924 157405 177050 314810 354100 629620 787025 1574050 3148100 111474221 222948442 445896884 557371105 1114742210 2229484420 2786855525 5573711050 11147422100