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135023224511 = 7295921091753
BaseRepresentation
bin111110111000000000…
…0101110011010111111
3110220112000000111020002
41331300000232122333
54203011421141021
6142010120144515
712520000320530
oct1756000563277
9426460014202
10135023224511
11522990aa04a
122220300813b
13c96a7a5426
14676c694687
1537a3d5650b
hex1f7002e6bf

135023224511 has 48 divisors (see below), whose sum is σ = 163968129600. Its totient is φ = 108779521536.

The previous prime is 135023224429. The next prime is 135023224529. The reversal of 135023224511 is 115422320531.

It is not a de Polignac number, because 135023224511 - 222 = 135019030207 is a prime.

It is a super-2 number, since 2×1350232245112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135023224571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77023211 + ... + 77024963.

It is an arithmetic number, because the mean of its divisors is an integer number (3416002700).

Almost surely, 2135023224511 is an apocalyptic number.

135023224511 is a deficient number, since it is larger than the sum of its proper divisors (28944905089).

135023224511 is a wasteful number, since it uses less digits than its factorization.

135023224511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 135023224511 in words is "one hundred thirty-five billion, twenty-three million, two hundred twenty-four thousand, five hundred eleven".

Divisors: 1 7 29 59 109 203 413 763 1711 1753 3161 3481 6431 11977 12271 22127 24367 45017 50837 100949 103427 186499 191077 355859 379429 706643 723989 1305493 1337539 2656003 2999383 5541233 6102193 11003441 11273543 20995681 38788631 42715351 77024087 78914801 176963597 326932747 665139037 1238745179 2288529229 4655973259 19289032073 135023224511