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135034311021 = 34115722331357
BaseRepresentation
bin111110111000010101…
…1000001000101101101
3110220112202212202001120
41331300223001011231
54203022240423041
6142011153531153
712520163463651
oct1756053010555
9426482782046
10135034311021
11522a4391555
1222206873ab9
13c96cb876ac
14676dd3ca61
1537a4ce6366
hex1f70ac116d

135034311021 has 32 divisors (see below), whose sum is σ = 186450152448. Its totient is φ = 86873679360.

The previous prime is 135034310993. The next prime is 135034311031. The reversal of 135034311021 is 120113430531.

It is not a de Polignac number, because 135034311021 - 25 = 135034310989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135034310982 and 135034311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135034311031) 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 31 ways as a sum of consecutive naturals, for example, 4290675 + ... + 4322031.

It is an arithmetic number, because the mean of its divisors is an integer number (5826567264).

Almost surely, 2135034311021 is an apocalyptic number.

It is an amenable number.

135034311021 is a deficient number, since it is larger than the sum of its proper divisors (51415841427).

135034311021 is a wasteful number, since it uses less digits than its factorization.

135034311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31781.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 135034311021 its reverse (120113430531), we get a palindrome (255147741552).

The spelling of 135034311021 in words is "one hundred thirty-five billion, thirty-four million, three hundred eleven thousand, twenty-one".

Divisors: 1 3 41 123 157 223 471 669 6437 9143 19311 27429 31357 35011 94071 105033 1285637 1435451 3856911 4306353 4923049 6992611 14769147 20977833 201845009 286697051 605535027 860091153 1097839927 3293519781 45011437007 135034311021