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1105137020 = 2251317250031
BaseRepresentation
bin100000111011111…
…0000110101111100
32212000111202222202
41001313300311330
54230403341040
6301354531032
736246336551
oct10167606574
92760452882
101105137020
11517903889
1226a136a78
13147c5bc40
14a6ab8a28
156704d015
hex41df0d7c

1105137020 has 48 divisors (see below), whose sum is σ = 2646338688. Its totient is φ = 384046080.

The previous prime is 1105136987. The next prime is 1105137041. The reversal of 1105137020 is 207315011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1105136983 and 1105137001.

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 15 ways as a sum of consecutive naturals, for example, 120596 + ... + 129435.

It is an arithmetic number, because the mean of its divisors is an integer number (55132056).

Almost surely, 21105137020 is an apocalyptic number.

1105137020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105137020 is an abundant number, since it is smaller than the sum of its proper divisors (1541201668).

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

1105137020 is a wasteful number, since it uses less digits than its factorization.

1105137020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250070 (or 250068 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 1105137020 is about 33243.6011888002. The cubic root of 1105137020 is about 1033.8845427766.

The spelling of 1105137020 in words is "one billion, one hundred five million, one hundred thirty-seven thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 250031 500062 1000124 1250155 2500310 3250403 4250527 5000620 6500806 8501054 13001612 16252015 17002108 21252635 32504030 42505270 55256851 65008060 85010540 110513702 221027404 276284255 552568510 1105137020