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1242112140 = 22325171014019
BaseRepresentation
bin100101000001001…
…0010000010001100
310012120020211112100
41022002102002030
510020440042030
6323130435100
742531531123
oct11202220214
93176224470
101242112140
1158815a265
122a7b92a90
1316a44a4c9
14bad72aba
15740a8360
hex4a09208c

1242112140 has 144 divisors (see below), whose sum is σ = 4029873120. Its totient is φ = 308582400.

The previous prime is 1242112139. The next prime is 1242112169. The reversal of 1242112140 is 412112421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307051 + ... + 311069.

It is an arithmetic number, because the mean of its divisors is an integer number (27985230).

Almost surely, 21242112140 is an apocalyptic number.

1242112140 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 1242112140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014936560).

1242112140 is an abundant number, since it is smaller than the sum of its proper divisors (2787760980).

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

1242112140 is a wasteful number, since it uses less digits than its factorization.

1242112140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1242112140 is about 35243.6113359570. The cubic root of 1242112140 is about 1074.9467116185.

Adding to 1242112140 its reverse (412112421), we get a palindrome (1654224561).

The spelling of 1242112140 in words is "one billion, two hundred forty-two million, one hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 101 102 153 170 180 202 204 255 303 306 340 404 505 510 606 612 765 909 1010 1020 1212 1515 1530 1717 1818 2020 3030 3060 3434 3636 4019 4545 5151 6060 6868 8038 8585 9090 10302 12057 15453 16076 17170 18180 20095 20604 24114 25755 30906 34340 36171 40190 48228 51510 60285 61812 68323 72342 77265 80380 103020 120570 136646 144684 154530 180855 204969 241140 273292 309060 341615 361710 405919 409938 614907 683230 723420 811838 819876 1024845 1217757 1229814 1366460 1623676 2029595 2049690 2435514 2459628 3074535 3653271 4059190 4099380 4871028 6088785 6149070 6900623 7306542 8118380 12177570 12298140 13801246 14613084 18266355 20701869 24355140 27602492 34503115 36532710 41403738 62105607 69006230 73065420 82807476 103509345 124211214 138012460 207018690 248422428 310528035 414037380 621056070 1242112140