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242032101021 = 321723616411759
BaseRepresentation
bin1110000101101000111…
…1001100011010011101
3212010201122002122112200
43201122033030122131
512431140204213041
6303104335522113
723325531625404
oct3413217143235
9763648078480
10242032101021
11937108a1877
123aaa8089339
1319a923a8179
14ba0050263b
1564685601b6
hex385a3cc69d

242032101021 has 96 divisors (see below), whose sum is σ = 393429104640. Its totient is φ = 142575206400.

The previous prime is 242032100971. The next prime is 242032101029. The reversal of 242032101021 is 120101230242.

It is a happy number.

242032101021 is a `hidden beast` number, since 2 + 420 + 3 + 210 + 10 + 21 = 666.

It is not a de Polignac number, because 242032101021 - 213 = 242032092829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242032100985 and 242032101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242032101029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137595540 + ... + 137597298.

It is an arithmetic number, because the mean of its divisors is an integer number (4098219840).

Almost surely, 2242032101021 is an apocalyptic number.

It is an amenable number.

242032101021 is a deficient number, since it is larger than the sum of its proper divisors (151397003619).

242032101021 is a wasteful number, since it uses less digits than its factorization.

242032101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 242032101021 its reverse (120101230242), we get a palindrome (362133331263).

The spelling of 242032101021 in words is "two hundred forty-two billion, thirty-two million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 17 23 51 61 69 153 183 207 391 549 641 1037 1173 1403 1759 1923 3111 3519 4209 5277 5769 9333 10897 12627 14743 15831 23851 29903 32691 39101 40457 44229 71553 89709 98073 107299 117303 121371 132687 214659 250631 269127 321897 351909 364113 664717 687769 751893 899323 965691 1127519 1824083 1994151 2063307 2255679 2467877 2697969 3382557 5472249 5982453 6189921 7403631 8093907 10147671 15288491 16416747 19167823 22210893 25932937 41953909 45865473 57503469 68778659 77798811 125861727 137596419 172510407 206335977 233396433 377585181 440859929 619007931 1169237203 1322579787 1581909157 3507711609 3967739361 4745727471 10523134827 14237182413 26892455669 80677367007 242032101021