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1242104010 = 2357131163277
BaseRepresentation
bin100101000001001…
…0000000011001010
310012120020102101020
41022002100003022
510020434312020
6323130333310
742531465330
oct11202200312
93176212336
101242104010
11588154144
122a7b8a236
1316a4468b4
14bad6db50
15740a5c40
hex4a0900ca

1242104010 has 128 divisors (see below), whose sum is σ = 3466450944. Its totient is φ = 279002880.

The previous prime is 1242103987. The next prime is 1242104011. The reversal of 1242104010 is 104012421.

It is a super-3 number, since 3×12421040103 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1242104011) 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, 4483992 + ... + 4484268.

It is an arithmetic number, because the mean of its divisors is an integer number (27081648).

Almost surely, 21242104010 is an apocalyptic number.

1242104010 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 1242104010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733225472).

1242104010 is an abundant number, since it is smaller than the sum of its proper divisors (2224346934).

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

1242104010 is a wasteful number, since it uses less digits than its factorization.

1242104010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1242104010 is about 35243.4959957153. The cubic root of 1242104010 is about 1074.9443663295.

Adding to 1242104010 its reverse (104012421), we get a palindrome (1346116431).

The spelling of 1242104010 in words is "one billion, two hundred forty-two million, one hundred four thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 163 210 262 277 326 393 489 554 655 786 815 831 917 978 1141 1310 1385 1630 1662 1834 1939 1965 2282 2445 2751 2770 3423 3878 3930 4155 4585 4890 5502 5705 5817 6846 8310 9170 9695 11410 11634 13755 17115 19390 21353 27510 29085 34230 36287 42706 45151 58170 64059 72574 90302 106765 108861 128118 135453 149471 181435 213530 217722 225755 254009 270906 298942 316057 320295 362870 448413 451510 508018 544305 632114 640590 677265 747355 762027 896826 948171 1088610 1270045 1354530 1494710 1524054 1580285 1896342 2242065 2540090 3160570 3810135 4484130 4740855 5914781 7620270 9481710 11829562 17744343 29573905 35488686 41403467 59147810 82806934 88721715 124210401 177443430 207017335 248420802 414034670 621052005 1242104010