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253300987071 = 321117535948131
BaseRepresentation
bin1110101111100111101…
…0100101010010111111
3220012210222111101002200
43223321322211102333
513122230023041241
6312210451122543
724205014602526
oct3537172452277
9805728441080
10253300987071
1198473892740
1241111ba3453
131ab69c28592
14c38cda74bd
1568c7a144b6
hex3af9ea54bf

253300987071 has 96 divisors (see below), whose sum is σ = 437901085440. Its totient is φ = 139353676800.

The previous prime is 253300987061. The next prime is 253300987087. The reversal of 253300987071 is 170789003352.

It is a happy number.

253300987071 is a `hidden beast` number, since 253 + 300 + 98 + 7 + 0 + 7 + 1 = 666.

It is not a de Polignac number, because 253300987071 - 211 = 253300985023 is a prime.

It is a super-2 number, since 2×2533009870712 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253300987061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5238676 + ... + 5286806.

It is an arithmetic number, because the mean of its divisors is an integer number (4561469640).

Almost surely, 2253300987071 is an apocalyptic number.

253300987071 is a deficient number, since it is larger than the sum of its proper divisors (184600098369).

253300987071 is a wasteful number, since it uses less digits than its factorization.

253300987071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48277 (or 48274 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 253300987071 in words is "two hundred fifty-three billion, three hundred million, nine hundred eighty-seven thousand, seventy-one".

Divisors: 1 3 9 11 17 33 51 53 59 99 153 159 177 187 477 531 561 583 649 901 1003 1683 1749 1947 2703 3009 3127 5247 5841 8109 9027 9381 9911 11033 28143 29733 33099 34397 48131 53159 89199 99297 103191 144393 159477 309573 433179 478431 529441 584749 818227 1588323 1754247 2454681 2550943 2839729 4764969 5262741 7364043 7652829 8519187 9000497 22958487 25557561 27001491 28060373 31237019 43366031 48275393 81004473 84181119 93711057 130098093 144826179 150505637 252543357 281133171 390294279 434478537 451516911 477026341 531029323 1354550733 1431079023 1593087969 1655562007 2558595829 4293237069 4779263907 4966686021 7675787487 14900058063 23027362461 28144554119 84433662357 253300987071