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1120103136 = 253223916273
BaseRepresentation
bin100001011000011…
…0110101011100000
32220001200010122100
41002300312223200
54243221300021
6303051410400
736520501545
oct10260665340
92801603570
101120103136
115252a6079
12273153a00
1314b09c029
14a8a92bcc
1568507626
hex42c36ae0

1120103136 has 72 divisors (see below), whose sum is σ = 3198817440. Its totient is φ = 371782656.

The previous prime is 1120103111. The next prime is 1120103137. The reversal of 1120103136 is 6313010211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120103137) 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, 60696 + ... + 76968.

It is an arithmetic number, because the mean of its divisors is an integer number (44428020).

Almost surely, 21120103136 is an apocalyptic number.

1120103136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599408720).

1120103136 is an abundant number, since it is smaller than the sum of its proper divisors (2078714304).

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

1120103136 is a wasteful number, since it uses less digits than its factorization.

1120103136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16528 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1120103136 is about 33467.9419146143. The cubic root of 1120103136 is about 1038.5306963604.

Adding to 1120103136 its reverse (6313010211), we get a palindrome (7433113347).

The spelling of 1120103136 in words is "one billion, one hundred twenty million, one hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 239 288 478 717 956 1434 1912 2151 2868 3824 4302 5736 7648 8604 11472 16273 17208 22944 32546 34416 48819 65092 68832 97638 130184 146457 195276 260368 292914 390552 520736 585828 781104 1171656 1562208 2343312 3889247 4686624 7778494 11667741 15556988 23335482 31113976 35003223 46670964 62227952 70006446 93341928 124455904 140012892 186683856 280025784 373367712 560051568 1120103136