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1200151242 = 23943709
BaseRepresentation
bin100011110001000…
…1101101011001010
310002122022000000000
41013202031223022
54424214314432
6315031223430
741512055133
oct10742155312
93078260000
101200151242
115664aa434
12295b17b76
13161848284
14b556cc8a
157056a57c
hex4788daca

1200151242 has 80 divisors (see below), whose sum is σ = 2766989280. Its totient is φ = 390195792.

The previous prime is 1200151241. The next prime is 1200151243. The reversal of 1200151242 is 2421510021.

It is an interprime number because it is at equal distance from previous prime (1200151241) and next prime (1200151243).

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

It is not an unprimeable number, because it can be changed into a prime (1200151241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1692384 + ... + 1693092.

It is an arithmetic number, because the mean of its divisors is an integer number (34587366).

Almost surely, 21200151242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200151242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383494640).

1200151242 is an abundant number, since it is smaller than the sum of its proper divisors (1566838038).

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

1200151242 is an frugal number, since it uses more digits than its factorization.

1200151242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1200151242 is about 34643.1990728339. The cubic root of 1200151242 is about 1062.7032113648.

Adding to 1200151242 its reverse (2421510021), we get a palindrome (3621661263).

The spelling of 1200151242 in words is "one billion, two hundred million, one hundred fifty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 243 258 387 486 709 729 774 1161 1418 1458 2127 2187 2322 3483 4254 4374 6381 6561 6966 10449 12762 13122 19143 19683 20898 30487 31347 38286 39366 57429 60974 62694 91461 94041 114858 172287 182922 188082 274383 282123 344574 516861 548766 564246 823149 846369 1033722 1550583 1646298 1692738 2469447 3101166 4651749 4938894 7408341 9303498 13955247 14816682 22225023 27910494 44450046 66675069 133350138 200025207 400050414 600075621 1200151242