Search a number
-
+
53035234123131 = 32131394517721961
BaseRepresentation
bin11000000111100001110100…
…10010100101110101111011
320221210010012122122110002100
430003300322102211311323
523422412124413420011
6304444014502234443
714112445353656241
oct1403607222456573
9227703178573070
1053035234123131
1115998131044a97
125b46700725a23
13237927cb1a740
14d14cc1b52791
1561e87c77dd56
hex303c3a4a5d7b

53035234123131 has 48 divisors (see below), whose sum is σ = 83111283571680. Its totient is φ = 32395049832960.

The previous prime is 53035234123103. The next prime is 53035234123133. The reversal of 53035234123131 is 13132143253035.

53035234123131 is a `hidden beast` number, since 5 + 3 + 0 + 3 + 52 + 341 + 231 + 31 = 666.

It is not a de Polignac number, because 53035234123131 - 25 = 53035234123099 is a prime.

It is a super-2 number, since 2×530352341231312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53035234123133) 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, 73098991 + ... + 73820951.

It is an arithmetic number, because the mean of its divisors is an integer number (1731485074410).

Almost surely, 253035234123131 is an apocalyptic number.

53035234123131 is a deficient number, since it is larger than the sum of its proper divisors (30076049448549).

53035234123131 is a wasteful number, since it uses less digits than its factorization.

53035234123131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726636 (or 726633 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 53035234123131 its reverse (13132143253035), we get a palindrome (66167377376166).

The spelling of 53035234123131 in words is "fifty-three trillion, thirty-five billion, two hundred thirty-four million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 139 417 1251 1807 4517 5421 13551 16263 40653 58721 176163 528489 627863 721961 1883589 2165883 5650767 6497649 8162219 9385493 24486657 28156479 73459971 84469437 100352579 301057737 903173211 1304583527 3261097837 3913750581 9783293511 11741251743 29349880533 42394271881 127182815643 381548446929 453292599343 1359877798029 4079633394087 5892803791459 17678411374377 53035234123131