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34132232001 = 3717223439557
BaseRepresentation
bin11111110010011100…
…001000011101000001
310021002201211001000210
4133302130020131001
51024400322411001
623402524104333
72315554120320
oct376234103501
9107081731023
1034132232001
11135258340aa
1267469950a9
1332ac5041aa
14191b1800b7
15d4b7bddd6
hex7f2708741

34132232001 has 96 divisors (see below), whose sum is σ = 57887723520. Its totient is φ = 17487258624.

The previous prime is 34132231957. The next prime is 34132232011. The reversal of 34132232001 is 10023223143.

It is not a de Polignac number, because 34132232001 - 29 = 34132231489 is a prime.

It is a super-2 number, since 2×341322320012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34132232011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 61278415 + ... + 61278971.

It is an arithmetic number, because the mean of its divisors is an integer number (602997120).

Almost surely, 234132232001 is an apocalyptic number.

It is an amenable number.

34132232001 is a deficient number, since it is larger than the sum of its proper divisors (23755491519).

34132232001 is a wasteful number, since it uses less digits than its factorization.

34132232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 34132232001 its reverse (10023223143), we get a palindrome (44155455144).

The spelling of 34132232001 in words is "thirty-four billion, one hundred thirty-two million, two hundred thirty-two thousand, one".

Divisors: 1 3 7 17 21 23 51 69 119 161 289 357 391 439 483 557 867 1173 1317 1671 2023 2737 3073 3899 6069 6647 7463 8211 9219 9469 10097 11697 12811 19941 22389 28407 30291 38433 46529 52241 66283 70679 89677 126871 139587 156723 160973 171649 198849 212037 217787 244523 269031 380613 482919 514947 653361 733569 888097 1126811 1201543 1524509 1711661 2664291 2918033 3380433 3604629 3702379 4156891 4573527 5134983 5624029 8754099 11107137 12470673 16872087 20426231 25916653 29098237 39368203 61278693 70667147 77749959 87294711 95608493 118104609 212001441 286825479 494670029 669259451 1484010087 1625344381 2007778353 4876033143 11377410667 34132232001