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1211414130 = 234510511423
BaseRepresentation
bin100100000110100…
…1011011001110010
310010102111012210000
41020031023121302
54440110223010
6320112450430
742006564423
oct11015133162
93112435700
101211414130
115718a2403
12299849a16
13163c8c8c4
14b6c6164a
15715427c0
hex4834b672

1211414130 has 80 divisors (see below), whose sum is σ = 3262748544. Its totient is φ = 322509600.

The previous prime is 1211414111. The next prime is 1211414153. The reversal of 1211414130 is 314141121.

1211414130 is a `hidden beast` number, since 1 + 211 + 41 + 413 + 0 = 666.

It is a super-3 number, since 3×12114141303 (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 850599 + ... + 852021.

Almost surely, 21211414130 is an apocalyptic number.

1211414130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631374272).

1211414130 is an abundant number, since it is smaller than the sum of its proper divisors (2051334414).

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

1211414130 is a wasteful number, since it uses less digits than its factorization.

1211414130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1211414130 is about 34805.3750159368. The cubic root of 1211414130 is about 1066.0171991447.

Adding to 1211414130 its reverse (314141121), we get a palindrome (1525555251).

It can be divided in two parts, 12114 and 14130, that added together give a square (26244 = 1622).

The spelling of 1211414130 in words is "one billion, two hundred eleven million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1051 1423 2102 2846 3153 4269 5255 6306 7115 8538 9459 10510 12807 14230 15765 18918 21345 25614 28377 31530 38421 42690 47295 56754 64035 76842 85131 94590 115263 128070 141885 170262 192105 230526 283770 384210 425655 576315 851310 1152630 1495573 2991146 4486719 7477865 8973438 13460157 14955730 22433595 26920314 40380471 44867190 67300785 80760942 121141413 134601570 201902355 242282826 403804710 605707065 1211414130