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1220311134 = 232737261757
BaseRepresentation
bin100100010111100…
…0111100001011110
310011001020020011200
41020233013201132
54444344424014
6321031300330
742145321260
oct11057074136
93131206150
101220311134
115769198a9
122a081a6a6
13165a863c3
14b80d9b30
15721eda09
hex48bc785e

1220311134 has 48 divisors (see below), whose sum is σ = 3103402848. Its totient is φ = 339235776.

The previous prime is 1220311121. The next prime is 1220311159. The reversal of 1220311134 is 4311130221.

1220311134 is a `hidden beast` number, since 1 + 220 + 311 + 134 = 666.

1220311134 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126217 + ... + 135540.

It is an arithmetic number, because the mean of its divisors is an integer number (64654226).

Almost surely, 21220311134 is an apocalyptic number.

1220311134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1220311134 is an abundant number, since it is smaller than the sum of its proper divisors (1883091714).

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

1220311134 is a wasteful number, since it uses less digits than its factorization.

1220311134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261809 (or 261806 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1220311134 is about 34932.9519794706. The cubic root of 1220311134 is about 1068.6205573815.

Adding to 1220311134 its reverse (4311130221), we get a palindrome (5531441355).

The spelling of 1220311134 in words is "one billion, two hundred twenty million, three hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 261757 523514 785271 1570542 1832299 2355813 3664598 4711626 5496897 9685009 10993794 16490691 19370018 29055027 32981382 58110054 67795063 87165081 135590126 174330162 203385189 406770378 610155567 1220311134