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1200141124 = 2272133311423
BaseRepresentation
bin100011110001000…
…1011001101000100
310002122021111010021
41013202023031010
54424214003444
6315031104524
741512013500
oct10742131504
93078244107
101200141124
115664a2876
12295b12144
131618437a0
14b5569300
1570567584
hex4788b344

1200141124 has 72 divisors (see below), whose sum is σ = 2640882048. Its totient is φ = 473014080.

The previous prime is 1200141113. The next prime is 1200141143. The reversal of 1200141124 is 4211410021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1200141098 and 1200141107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842677 + ... + 844099.

Almost surely, 21200141124 is an apocalyptic number.

1200141124 is a gapful number since it is divisible by the number (14) 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 1200141124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320441024).

1200141124 is an abundant number, since it is smaller than the sum of its proper divisors (1440740924).

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

1200141124 is a wasteful number, since it uses less digits than its factorization.

1200141124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1200141124 is about 34643.0530409778. The cubic root of 1200141124 is about 1062.7002249463.

Adding to 1200141124 its reverse (4211410021), we get a palindrome (5411551145).

The spelling of 1200141124 in words is "one billion, two hundred million, one hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 331 364 637 662 1274 1324 1423 2317 2548 2846 4303 4634 5692 8606 9268 9961 16219 17212 18499 19922 30121 32438 36998 39844 60242 64876 69727 73996 120484 129493 139454 210847 258986 278908 421694 471013 517972 843388 906451 942026 1812902 1884052 3297091 3625804 6123169 6594182 12246338 13188364 23079637 24492676 42862183 46159274 85724366 92318548 171448732 300035281 600070562 1200141124