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242111110420 = 225293143313153
BaseRepresentation
bin1110000101111011110…
…0100101110100010100
3212010221010202202001201
43201132330211310110
512431320421013140
6303120241202244
723330511324454
oct3413674456424
9763833682051
10242111110420
11937514567a3
123ab0a630384
1319aa587c6aa
14ba0abcbd64
15647046a49a
hex385ef25d14

242111110420 has 96 divisors (see below), whose sum is σ = 555560248320. Its totient is φ = 88384020480.

The previous prime is 242111110403. The next prime is 242111110489. The reversal of 242111110420 is 24011111242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616564 + ... + 929716.

It is an arithmetic number, because the mean of its divisors is an integer number (5787085920).

Almost surely, 2242111110420 is an apocalyptic number.

242111110420 is a gapful number since it is divisible by the number (20) 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 242111110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277780124160).

242111110420 is an abundant number, since it is smaller than the sum of its proper divisors (313449137900).

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

242111110420 is a wasteful number, since it uses less digits than its factorization.

242111110420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313265 (or 313263 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 242111110420 its reverse (24011111242), we get a palindrome (266122221662).

The spelling of 242111110420 in words is "two hundred forty-two billion, one hundred eleven million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 43 58 62 86 116 124 145 155 172 215 290 310 430 580 620 860 899 1247 1333 1798 2494 2666 3596 4495 4988 5332 6235 6665 8990 12470 13330 17980 24940 26660 38657 77314 154628 193285 313153 386570 626306 773140 1252612 1565765 3131530 6263060 9081437 9707743 13465579 18162874 19415486 26931158 36325748 38830972 45407185 48538715 53862316 67327895 90814370 97077430 134655790 181628740 194154860 269311580 281524547 390501791 417432949 563049094 781003582 834865898 1126098188 1407622735 1562007164 1669731796 1952508955 2087164745 2815245470 3905017910 4174329490 5630490940 7810035820 8348658980 12105555521 24211111042 48422222084 60527777605 121055555210 242111110420