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1201034142 = 23471128753
BaseRepresentation
bin100011110010110…
…0101001110011110
310002200221212010000
41013211211032132
54424431043032
6315102155130
741522423160
oct10745451636
93080855100
101201034142
11566a52800
12296282aa6
13161a970b9
14b571c930
1570691e7c
hex4796539e

1201034142 has 120 divisors (see below), whose sum is σ = 3381074928. Its totient is φ = 311921280.

The previous prime is 1201034129. The next prime is 1201034221. The reversal of 1201034142 is 2414301021.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 132838 + ... + 141590.

Almost surely, 21201034142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201034142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690537464).

1201034142 is an abundant number, since it is smaller than the sum of its proper divisors (2180040786).

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

1201034142 is a wasteful number, since it uses less digits than its factorization.

1201034142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8776 counting only the distinct ones).

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

The square root of 1201034142 is about 34655.9394909444. The cubic root of 1201034142 is about 1062.9637426064.

Adding to 1201034142 its reverse (2414301021), we get a palindrome (3615335163).

The spelling of 1201034142 in words is "one billion, two hundred one million, thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 297 363 378 462 567 594 693 726 847 891 1089 1134 1386 1694 1782 2079 2178 2541 3267 4158 5082 6237 6534 7623 8753 9801 12474 15246 17506 19602 22869 26259 45738 52518 61271 68607 78777 96283 122542 137214 157554 183813 192566 236331 288849 367626 472662 551439 577698 673981 708993 866547 1059113 1102878 1347962 1417986 1654317 1733094 2021943 2118226 2599641 3177339 3308634 4043886 4962951 5199282 6065829 6354678 7413791 7798923 9532017 9925902 12131658 14827582 15597846 18197487 19064034 22241373 28596051 36394974 44482746 54592461 57192102 66724119 85788153 109184922 133448238 171576306 200172357 400344714 600517071 1201034142