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1300111230 = 2351141307313
BaseRepresentation
bin100110101111110…
…0001111101111110
310100121101111022210
41031133201331332
510130312024410
6333001521250
744134522515
oct11537417576
93317344283
101300111230
116079738a0
123034a3226
131794767b2
14c494d67c
1579213220
hex4d7e1f7e

1300111230 has 128 divisors (see below), whose sum is σ = 3509485056. Its totient is φ = 305510400.

The previous prime is 1300111229. The next prime is 1300111237. The reversal of 1300111230 is 321110031.

It is a super-2 number, since 2×13001112302 = 3380578420744225800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300111237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4153554 + ... + 4153866.

It is an arithmetic number, because the mean of its divisors is an integer number (27417852).

Almost surely, 21300111230 is an apocalyptic number.

1300111230 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 1300111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754742528).

1300111230 is an abundant number, since it is smaller than the sum of its proper divisors (2209373826).

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

1300111230 is a wasteful number, since it uses less digits than its factorization.

1300111230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1300111230 is about 36057.0552042177. The cubic root of 1300111230 is about 1091.4240092581.

Adding to 1300111230 its reverse (321110031), we get a palindrome (1621221261).

The spelling of 1300111230 in words is "one billion, three hundred million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 307 313 330 410 451 614 615 626 902 921 939 1230 1353 1535 1565 1842 1878 2255 2706 3070 3130 3377 3443 4510 4605 4695 6754 6765 6886 9210 9390 10131 10329 12587 12833 13530 16885 17215 20262 20658 25174 25666 33770 34430 37761 38499 50655 51645 62935 64165 75522 76998 96091 101310 103290 125870 128330 138457 141163 188805 192182 192495 276914 282326 288273 377610 384990 415371 423489 480455 576546 692285 705815 830742 846978 960910 1057001 1384570 1411630 1441365 2076855 2114002 2117445 2882730 3171003 3939731 4153710 4234890 5285005 6342006 7879462 10570010 11819193 15855015 19698655 23638386 31710030 39397310 43337041 59095965 86674082 118191930 130011123 216685205 260022246 433370410 650055615 1300111230