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1231168068 = 2232137336037
BaseRepresentation
bin100100101100010…
…0010001001000100
310011210122211002100
41021120202021010
510010134334233
6322100112100
742336520164
oct11130421104
93153584070
101231168068
11581a64879
122a4395630
131680b8020
14b97245a4
1573145813
hex49622244

1231168068 has 72 divisors (see below), whose sum is σ = 3397518488. Its totient is φ = 373621248.

The previous prime is 1231168031. The next prime is 1231168091. The reversal of 1231168068 is 8608611321.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 1231167744 = 18^2 + 35088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16146 + ... + 52182.

Almost surely, 21231168068 is an apocalyptic number.

1231168068 is a gapful number since it is divisible by the number (18) 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 1231168068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698759244).

1231168068 is an abundant number, since it is smaller than the sum of its proper divisors (2166350420).

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

1231168068 is a wasteful number, since it uses less digits than its factorization.

1231168068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36133 (or 36128 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1231168068 is about 35088.0046169628. The cubic root of 1231168068 is about 1071.7803266834.

Adding to 1231168068 its reverse (8608611321), we get a palindrome (9839779389).

The spelling of 1231168068 in words is "one billion, two hundred thirty-one million, one hundred sixty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1314 1898 2628 2847 3796 5694 8541 11388 17082 34164 36037 72074 108111 144148 216222 324333 432444 468481 648666 936962 1297332 1405443 1873924 2630701 2810886 4216329 5261402 5621772 7892103 8432658 10522804 15784206 16865316 23676309 31568412 34199113 47352618 68398226 94705236 102597339 136796452 205194678 307792017 410389356 615584034 1231168068