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1000134310 = 257172973397
BaseRepresentation
bin111011100111001…
…101011010100110
32120200221002100111
4323213031122212
54022013244220
6243124203234
733533000320
oct7347153246
92520832314
101000134310
1147360578a
1223ab3951a
1312c286366
1496b84610
155cc0b15a
hex3b9cd6a6

1000134310 has 128 divisors (see below), whose sum is σ = 2290187520. Its totient is φ = 306561024.

The previous prime is 1000134283. The next prime is 1000134319. The reversal of 1000134310 is 134310001.

It is a super-2 number, since 2×10001343102 = 2000537276078352200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000134319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2519032 + ... + 2519428.

It is an arithmetic number, because the mean of its divisors is an integer number (17892090).

Almost surely, 21000134310 is an apocalyptic number.

1000134310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000134310 is an abundant number, since it is smaller than the sum of its proper divisors (1290053210).

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

1000134310 is a wasteful number, since it uses less digits than its factorization.

1000134310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1000134310 is about 31624.9001579452. The cubic root of 1000134310 is about 1000.0447679958.

Adding to 1000134310 its reverse (134310001), we get a palindrome (1134444311).

The spelling of 1000134310 in words is "one billion, one hundred thirty-four thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 17 29 34 35 58 70 73 85 119 145 146 170 203 238 290 365 397 406 493 511 595 730 794 986 1015 1022 1190 1241 1985 2030 2117 2465 2482 2555 2779 3451 3970 4234 4930 5110 5558 6205 6749 6902 8687 10585 11513 12410 13498 13895 14819 17255 17374 21170 23026 27790 28981 29638 33745 34510 35989 43435 47243 57565 57962 67490 71978 74095 80591 86870 94486 115130 144905 148190 161182 179945 195721 202867 236215 251923 289810 359890 391442 402955 405734 472430 492677 503846 805910 840449 978605 985354 1014335 1259615 1370047 1680898 1957210 2028670 2463385 2519230 2740094 3448739 4202245 4926770 5883143 6850235 6897478 8404490 11766286 13700470 14287633 17243695 28575266 29415715 34487390 58831430 71438165 100013431 142876330 200026862 500067155 1000134310