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201034035531 = 32726720893257
BaseRepresentation
bin1011101100111010001…
…1111111000101001011
3201012220102000010120200
42323032203333011023
511243204203114111
6232204225023243
720344545051600
oct2731643770513
9635812003520
10201034035531
117829252141a
1232b65a84b23
1315c5a615114
149a3156c6a7
15536912a256
hex2ece8ff14b

201034035531 has 72 divisors (see below), whose sum is σ = 343102977360. Its totient is φ = 113073117696.

The previous prime is 201034035529. The next prime is 201034035563. The reversal of 201034035531 is 135530430102.

201034035531 is a `hidden beast` number, since 2 + 0 + 103 + 4 + 0 + 3 + 553 + 1 = 666.

It is not a de Polignac number, because 201034035531 - 21 = 201034035529 is a prime.

It is a super-2 number, since 2×2010340355312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201034035495 and 201034035504.

It is not an unprimeable number, because it can be changed into a prime (201034035131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61722055 + ... + 61725311.

It is an arithmetic number, because the mean of its divisors is an integer number (4765319130).

Almost surely, 2201034035531 is an apocalyptic number.

201034035531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201034035531 is a deficient number, since it is larger than the sum of its proper divisors (142068941829).

201034035531 is a wasteful number, since it uses less digits than its factorization.

201034035531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 201034035531 its reverse (135530430102), we get a palindrome (336564465633).

The spelling of 201034035531 in words is "two hundred one billion, thirty-four million, thirty-five thousand, five hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 67 147 201 441 469 603 1407 2089 3257 3283 4221 6267 9771 9849 14623 18801 22799 29313 29547 43869 68397 102361 131607 139963 159593 205191 218219 307083 419889 478779 654657 921249 979741 1259667 1436337 1527533 1963971 2939223 4582599 6803873 6858187 8817669 10692731 13747797 20411619 20574561 32078193 47627111 61234857 61723683 96234579 142881333 333389777 428643999 455859491 1000169331 1367578473 3000507993 3191016437 4102735419 9573049311 22337115059 28719147933 67011345177 201034035531