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10334041134010 = 25111912746384089
BaseRepresentation
bin1001011001100001010011…
…0110011101001110111010
31100120220222002120001122121
42112120110312131032322
52323303104012242020
633551220513511454
72114416113212416
oct226302466351672
940526862501577
1010334041134010
1133247078a3120
1211aa98157258a
1359c65a643679
1427a255299d46
1512dc2adc8baa
hex96614d9d3ba

10334041134010 has 128 divisors (see below), whose sum is σ = 21575260569600. Its totient is φ = 3524350072320.

The previous prime is 10334041133993. The next prime is 10334041134031. The reversal of 10334041134010 is 1043114043301.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 122852046 + ... + 122936134.

It is an arithmetic number, because the mean of its divisors is an integer number (168556723200).

Almost surely, 210334041134010 is an apocalyptic number.

10334041134010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10334041134010 is an abundant number, since it is smaller than the sum of its proper divisors (11241219435590).

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

10334041134010 is a wasteful number, since it uses less digits than its factorization.

10334041134010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84716.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10334041134010 its reverse (1043114043301), we get a palindrome (11377155177311).

The spelling of 10334041134010 in words is "ten trillion, three hundred thirty-four billion, forty-one million, one hundred thirty-four thousand, ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 127 190 209 254 418 463 635 926 1045 1270 1397 2090 2315 2413 2794 4630 4826 5093 6985 8797 10186 12065 13970 17594 24130 25465 26543 43985 50930 53086 58801 84089 87970 96767 117602 132715 168178 193534 265430 294005 420445 483835 588010 646811 840890 924979 967670 1117219 1293622 1597691 1849958 2234438 3195382 3234055 4624895 5586095 6468110 7988455 9249790 10679303 11172190 12289409 15976910 17574601 21358606 24578818 35149202 38933207 53396515 61447045 77866414 87873005 106793030 117472333 122894090 175746010 194666035 202906757 234944666 389332070 405813514 428265277 587361665 739730933 856530554 1014533785 1174723330 1479461866 2029067570 2141326385 2231974327 3698654665 4282652770 4463948654 4944517289 7397309330 8137040263 9889034578 11159871635 16274080526 22319743270 24722586445 40685201315 49445172890 54389690179 81370402630 93945828491 108779380358 187891656982 271948450895 469729142455 543896901790 939458284910 1033404113401 2066808226802 5167020567005 10334041134010