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271142235 = 34572131051
BaseRepresentation
bin10000001010010…
…100110101011011
3200220012110020000
4100022110311123
51023403022420
642523304043
76501446100
oct2012246533
9626173200
10271142235
1112a0641a1
127697b023
13442359c0
1428020aa7
1518c0d690
hex10294d5b

271142235 has 120 divisors (see below), whose sum is σ = 609474096. Its totient is φ = 114307200.

The previous prime is 271142227. The next prime is 271142243. The reversal of 271142235 is 532241172.

It is an interprime number because it is at equal distance from previous prime (271142227) and next prime (271142243).

It is not a de Polignac number, because 271142235 - 23 = 271142227 is a prime.

It is a super-2 number, since 2×2711422352 = 147036223201590450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 271142199 and 271142208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257460 + ... + 258510.

Almost surely, 2271142235 is an apocalyptic number.

271142235 is an abundant number, since it is smaller than the sum of its proper divisors (338331861).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

271142235 is a wasteful number, since it uses less digits than its factorization.

271142235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 271142235 is about 16466.3971469171. The cubic root of 271142235 is about 647.2405583442.

The spelling of 271142235 in words is "two hundred seventy-one million, one hundred forty-two thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 81 91 105 117 135 147 189 195 245 273 315 351 405 441 455 567 585 637 735 819 945 1051 1053 1323 1365 1755 1911 2205 2457 2835 3153 3185 3969 4095 5255 5265 5733 6615 7357 7371 9459 9555 12285 13663 15765 17199 19845 22071 28377 28665 36785 36855 40989 47295 51499 51597 66213 68315 85131 85995 95641 110355 122967 141885 154497 198639 204945 257495 257985 286923 331065 368901 425655 463491 478205 595917 614835 669487 772485 860769 993195 1106703 1390473 1434615 1844505 2008461 2317455 2582307 2979585 3347435 4171419 4303845 5533515 6025383 6952365 7746921 10042305 12911535 18076149 20857095 30126915 38734605 54228447 90380745 271142235