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32101012242 = 23213226939229
BaseRepresentation
bin11101111001010111…
…101001001100010010
310001212011201101100100
4131321113221030102
51011220324342432
622425204033230
72214331046655
oct357127511422
9101764641310
1032101012242
1112683203692
12627a692816
133047748900
1417a74b989c
15c7d2e107c
hex7795e9312

32101012242 has 72 divisors (see below), whose sum is σ = 75595817700. Its totient is φ = 9840265344.

The previous prime is 32101012231. The next prime is 32101012249. The reversal of 32101012242 is 24221010123.

It is a happy number.

32101012242 is a `hidden beast` number, since 321 + 0 + 101 + 2 + 242 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7358036841 + 24742975401 = 85779^2 + 157299^2 .

It is a super-2 number, since 2×321010122422 (a number of 22 digits) contains 22 as substring.

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 (32101012249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 798684 + ... + 837912.

Almost surely, 232101012242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32101012242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37797908850).

32101012242 is an abundant number, since it is smaller than the sum of its proper divisors (43494805458).

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

32101012242 is a wasteful number, since it uses less digits than its factorization.

32101012242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39532 (or 39516 counting only the distinct ones).

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

Adding to 32101012242 its reverse (24221010123), we get a palindrome (56322022365).

The spelling of 32101012242 in words is "thirty-two billion, one hundred one million, twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 269 338 507 538 807 1014 1521 1614 2421 3042 3497 4842 6994 10491 20982 31473 39229 45461 62946 78458 90922 117687 136383 235374 272766 353061 409149 509977 706122 818298 1019954 1529931 3059862 4589793 6629701 9179586 10552601 13259402 19889103 21105202 31657803 39778206 59667309 63315606 94973409 119334618 137183813 189946818 274367626 411551439 823102878 1234654317 1783389569 2469308634 3566779138 5350168707 10700337414 16050506121 32101012242