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21385371210042 = 2374767336148109
BaseRepresentation
bin1001101110011001010110…
…11101000101000100111010
32210201102101021210202220010
410313030223131011010322
510300334220012210132
6113252145351042350
74335020302015350
oct467145335050472
983642337722803
1021385371210042
1168a5537594974
1224947656703b6
13bc182a242b78
1453d0b3a717d0
15271438aa96cc
hex13732b74513a

21385371210042 has 128 divisors (see below), whose sum is σ = 50682082222080. Its totient is φ = 5888973404160.

The previous prime is 21385371210031. The next prime is 21385371210067. The reversal of 21385371210042 is 24001217358312.

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, 444495084 + ... + 444543192.

It is an arithmetic number, because the mean of its divisors is an integer number (395953767360).

Almost surely, 221385371210042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21385371210042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25341041111040).

21385371210042 is an abundant number, since it is smaller than the sum of its proper divisors (29296711012038).

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

21385371210042 is a wasteful number, since it uses less digits than its factorization.

21385371210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51596.

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 21385371210042 its reverse (24001217358312), we get a palindrome (45386588568354).

The spelling of 21385371210042 in words is "twenty-one trillion, three hundred eighty-five billion, three hundred seventy-one million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 67 94 134 141 201 282 329 402 469 658 938 987 1407 1974 2814 3149 3361 6298 6722 9447 10083 18894 20166 22043 23527 44086 47054 48109 66129 70581 96218 132258 141162 144327 157967 225187 288654 315934 336763 450374 473901 673526 675561 947802 1010289 1105769 1351122 1576309 2020578 2211538 2261123 3152618 3223303 3317307 4522246 4728927 6446606 6634614 6783369 9457854 9669909 10583789 13566738 15827861 19339818 21167578 22563121 31655722 31751367 45126242 47483583 63502734 67689363 74086523 94967166 135378726 148173046 151495241 161694349 222259569 302990482 323388698 444519138 454485723 485083047 908971446 970166094 1060466687 1131860443 2120933374 2263720886 3181400061 3395581329 6362800122 6791162658 7599634403 10833521383 15199268806 21667042766 22798903209 32500564149 45597806418 53197440821 65001128298 75834649681 106394881642 151669299362 159592322463 227503949043 319184644926 455007898086 509175505001 1018351010002 1527526515003 3055053030006 3564228535007 7128457070014 10692685605021 21385371210042