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1355124012 = 2231123672543
BaseRepresentation
bin101000011000101…
…1000110100101100
310111102220102200020
41100301120310230
510233402432022
6342245002140
745403235604
oct12061306454
93442812606
101355124012
11635a28800
123199b3350
13187998738
14cbd8dc04
157de7d35c
hex50c58d2c

1355124012 has 72 divisors (see below), whose sum is σ = 3486379008. Its totient is φ = 409363680.

The previous prime is 1355123999. The next prime is 1355124041. The reversal of 1355124012 is 2104215531.

It is a happy number.

It is a super-2 number, since 2×13551240122 = 3672722175797952288, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 531613 + ... + 534155.

Almost surely, 21355124012 is an apocalyptic number.

1355124012 is a gapful number since it is divisible by the number (12) 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 1355124012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743189504).

1355124012 is an abundant number, since it is smaller than the sum of its proper divisors (2131254996).

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

1355124012 is a wasteful number, since it uses less digits than its factorization.

1355124012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1355124012 is about 36812.0090731272. The cubic root of 1355124012 is about 1106.6059821000.

Adding to 1355124012 its reverse (2104215531), we get a palindrome (3459339543).

The spelling of 1355124012 in words is "one billion, three hundred fifty-five million, one hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 367 484 726 734 1101 1452 1468 2202 2543 4037 4404 5086 7629 8074 10172 12111 15258 16148 24222 27973 30516 44407 48444 55946 83919 88814 111892 133221 167838 177628 266442 307703 335676 532884 615406 923109 933281 1230812 1846218 1866562 2799843 3692436 3733124 5599686 10266091 11199372 20532182 30798273 41064364 61596546 112927001 123193092 225854002 338781003 451708004 677562006 1355124012