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1230211120 = 245172367587
BaseRepresentation
bin100100101010011…
…1000100000110000
310011201212012101211
41021110320200300
510004413223440
6322023405504
742325423225
oct11124704060
93151765354
101230211120
11581470906
122a3bb3894
13167b41598
14b955594c
1573006eea
hex49538830

1230211120 has 160 divisors (see below), whose sum is σ = 3212794368. Its totient is φ = 435646464.

The previous prime is 1230211067. The next prime is 1230211121. The reversal of 1230211120 is 211120321.

It is a self number, because there is not a number n which added to its sum of digits gives 1230211120.

It is not an unprimeable number, because it can be changed into a prime (1230211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2095467 + ... + 2096053.

Almost surely, 21230211120 is an apocalyptic number.

1230211120 is a gapful number since it is divisible by the number (10) 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 1230211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606397184).

1230211120 is an abundant number, since it is smaller than the sum of its proper divisors (1982583248).

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

1230211120 is a wasteful number, since it uses less digits than its factorization.

1230211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1230211120 is about 35074.3655680327. The cubic root of 1230211120 is about 1071.5025677233.

Adding to 1230211120 its reverse (211120321), we get a palindrome (1441331441).

The spelling of 1230211120 in words is "one billion, two hundred thirty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 67 68 80 85 92 115 134 136 170 184 230 268 272 335 340 368 391 460 536 587 670 680 782 920 1072 1139 1174 1340 1360 1541 1564 1840 1955 2278 2348 2680 2935 3082 3128 3910 4556 4696 5360 5695 5870 6164 6256 7705 7820 9112 9392 9979 11390 11740 12328 13501 15410 15640 18224 19958 22780 23480 24656 26197 27002 30820 31280 39329 39916 45560 46960 49895 52394 54004 61640 67505 78658 79832 91120 99790 104788 108008 123280 130985 135010 157316 159664 196645 199580 209576 216016 229517 261970 270020 314632 393290 399160 419152 459034 523940 540040 629264 668593 786580 798320 904567 918068 1047880 1080080 1147585 1337186 1573160 1809134 1836136 2095760 2295170 2674372 3146320 3342965 3618268 3672272 4522835 4590340 5348744 6685930 7236536 9045670 9180680 10697488 13371860 14473072 15377639 18091340 18361360 26743720 30755278 36182680 53487440 61510556 72365360 76888195 123021112 153776390 246042224 307552780 615105560 1230211120