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1230211314 = 23541107577
BaseRepresentation
bin100100101010011…
…1000100011110010
310011201212012200000
41021110320203302
510004413230224
6322023410430
742325423623
oct11124704362
93151765600
101230211314
11581470a72
122a3bb3a16
13167b416b7
14b9555a4a
15730070c9
hex495388f2

1230211314 has 96 divisors (see below), whose sum is σ = 2863014336. Its totient is φ = 395642880.

The previous prime is 1230211313. The next prime is 1230211319. The reversal of 1230211314 is 4131120321.

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

It is not an unprimeable number, because it can be changed into a prime (1230211313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131794 + ... + 2132370.

It is an arithmetic number, because the mean of its divisors is an integer number (29823066).

Almost surely, 21230211314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230211314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431507168).

1230211314 is an abundant number, since it is smaller than the sum of its proper divisors (1632803022).

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

1230211314 is a wasteful number, since it uses less digits than its factorization.

1230211314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

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

The square root of 1230211314 is about 35074.3683335851. The cubic root of 1230211314 is about 1071.5026240474.

Adding to 1230211314 its reverse (4131120321), we get a palindrome (5361331635).

The spelling of 1230211314 in words is "one billion, two hundred thirty million, two hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 107 123 162 214 243 246 321 369 486 577 642 738 963 1107 1154 1731 1926 2214 2889 3321 3462 4387 5193 5778 6642 8667 8774 9963 10386 13161 15579 17334 19926 23657 26001 26322 31158 39483 46737 47314 52002 61739 70971 78966 93474 118449 123478 140211 141942 185217 212913 236898 280422 355347 370434 425826 555651 638739 710694 1066041 1111302 1277478 1666953 1916217 2132082 2531299 3333906 3832434 5000859 5062598 5748651 7593897 10001718 11497302 15002577 15187794 22781691 30005154 45563382 68345073 136690146 205035219 410070438 615105657 1230211314