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1120014100 = 225214097949
BaseRepresentation
bin100001011000010…
…0000111100010100
32220001111121111201
41002300200330110
54243210422400
6303045442244
736516651142
oct10260407424
92801447451
101120014100
11525245197
12273110384
1314b06a64a
14a8a6c592
15684db06a
hex42c20f14

1120014100 has 36 divisors (see below), whose sum is σ = 2432461500. Its totient is φ = 447631360.

The previous prime is 1120014083. The next prime is 1120014113. The reversal of 1120014100 is 14100211.

It can be written as a sum of positive squares in 6 ways, for example, as 246929796 + 873084304 = 15714^2 + 29548^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136926 + ... + 144874.

It is an arithmetic number, because the mean of its divisors is an integer number (67568375).

Almost surely, 21120014100 is an apocalyptic number.

1120014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120014100 is an abundant number, since it is smaller than the sum of its proper divisors (1312447400).

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

1120014100 is a wasteful number, since it uses less digits than its factorization.

1120014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1120014100 is about 33466.6117197424. The cubic root of 1120014100 is about 1038.5031783381.

Adding to 1120014100 its reverse (14100211), we get a palindrome (1134114311).

The spelling of 1120014100 in words is "one billion, one hundred twenty million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1409 2818 5636 7045 7949 14090 15898 28180 31796 35225 39745 70450 79490 140900 158980 198725 397450 794900 11200141 22400282 44800564 56000705 112001410 224002820 280003525 560007050 1120014100