Search a number
-
+
135273610761531 = 31129293482429131
BaseRepresentation
bin11110110000011111010111…
…100001000101010100111011
3122201222000211112001020012120
4132300133113201011110323
5120212310323323332111
61155411501110412323
740331124115443054
oct3660372741052473
9581860745036176
10135273610761531
113a1142417765a0
1213208b226610a3
135a63329190438
1425593c5dcd72b
151098b9c83a406
hex7b07d784553b

135273610761531 has 32 divisors (see below), whose sum is σ = 204241197323520. Its totient is φ = 78886811337600.

The previous prime is 135273610761449. The next prime is 135273610761629. The reversal of 135273610761531 is 135167016372531.

It is not a de Polignac number, because 135273610761531 - 210 = 135273610760507 is a prime.

It is a super-2 number, since 2×1352736107615312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135273610761031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240934165 + ... + 241494966.

It is an arithmetic number, because the mean of its divisors is an integer number (6382537416360).

Almost surely, 2135273610761531 is an apocalyptic number.

135273610761531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135273610761531 is a deficient number, since it is larger than the sum of its proper divisors (68967586561989).

135273610761531 is a wasteful number, since it uses less digits than its factorization.

135273610761531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482429467.

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 135273610761531 in words is "one hundred thirty-five trillion, two hundred seventy-three billion, six hundred ten million, seven hundred sixty-one thousand, five hundred thirty-one".

Divisors: 1 3 11 29 33 87 293 319 879 957 3223 8497 9669 25491 93467 280401 482429131 1447287393 5306720441 13990444799 15920161323 41971334397 141351735383 153894892789 424055206149 461684678367 1554869089213 4099200326107 4664607267639 12297600978321 45091203587177 135273610761531