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1130122320 = 243517592677
BaseRepresentation
bin100001101011100…
…0100110001010000
32220202112011101020
41003113010301100
54303302403240
6304050235440
740001611155
oct10327046120
92822464336
101130122320
1152aa19698
12276585b80
13150199542
14aa14022c
15693360d0
hex435c4c50

1130122320 has 80 divisors (see below), whose sum is σ = 3506680320. Its totient is φ = 301082112.

The previous prime is 1130122297. The next prime is 1130122321. The reversal of 1130122320 is 232210311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130122320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130122321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420822 + ... + 423498.

It is an arithmetic number, because the mean of its divisors is an integer number (43833504).

Almost surely, 21130122320 is an apocalyptic number.

1130122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130122320 is an abundant number, since it is smaller than the sum of its proper divisors (2376558000).

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

1130122320 is a wasteful number, since it uses less digits than its factorization.

1130122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1130122320 is about 33617.2919789801. The cubic root of 1130122320 is about 1041.6180188765.

Adding to 1130122320 its reverse (232210311), we get a palindrome (1362332631).

The spelling of 1130122320 in words is "one billion, one hundred thirty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1759 2677 3518 5277 5354 7036 8031 8795 10554 10708 13385 14072 16062 17590 21108 21416 26385 26770 28144 32124 35180 40155 42216 42832 52770 53540 64248 70360 80310 84432 105540 107080 128496 140720 160620 211080 214160 321240 422160 642480 4708843 9417686 14126529 18835372 23544215 28253058 37670744 47088430 56506116 70632645 75341488 94176860 113012232 141265290 188353720 226024464 282530580 376707440 565061160 1130122320