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103101013001322 = 2347178364435153
BaseRepresentation
bin10111011100010100010011…
…010000011000010001101010
3111112001100201212100221120000
4113130110103100120101222
5102003201333312020242
61003135541305243430
730500542133555430
oct2734242320302152
9445040655327500
10103101013001322
112a93a992001926
12b691800793576
13456b4cb2c543b
141b661894dcd50
15bdbd6214ba4c
hex5dc51341846a

103101013001322 has 160 divisors (see below), whose sum is σ = 282924967070592. Its totient is φ = 27390609893376.

The previous prime is 103101013001309. The next prime is 103101013001381. The reversal of 103101013001322 is 223100310101301.

103101013001322 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 10 + 1 + 300 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103101013001295 and 103101013001304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30617503 + ... + 33817650.

Almost surely, 2103101013001322 is an apocalyptic number.

103101013001322 is an abundant number, since it is smaller than the sum of its proper divisors (179823954069270).

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

103101013001322 is a wasteful number, since it uses less digits than its factorization.

103101013001322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64435274 (or 64435265 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103101013001322 its reverse (223100310101301), we get a palindrome (326201323102623).

The spelling of 103101013001322 in words is "one hundred three trillion, one hundred one billion, thirteen million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 83 102 119 126 153 162 166 189 238 249 306 357 378 459 498 567 581 714 747 918 1071 1134 1162 1377 1411 1494 1743 2142 2241 2754 2822 3213 3486 4233 4482 5229 6426 6723 8466 9639 9877 10458 12699 13446 15687 19278 19754 25398 29631 31374 38097 47061 59262 76194 88893 94122 114291 177786 228582 266679 533358 800037 1600074 64435153 128870306 193305459 386610918 451046071 579916377 902092142 1095397601 1159832754 1353138213 1739749131 2190795202 2706276426 3286192803 3479498262 4059414639 5219247393 5348117699 6572385606 7667783207 8118829278 9858578409 10438494786 10696235398 12178243917 15335566414 16044353097 19717156818 23003349621 24356487834 29575735227 32088706194 36534731751 37436823893 46006699242 48133059291 59151470454 69010048863 73069463502 74873647786 88727205681 90918000883 96266118582 112310471679 138020097726 144399177873 177454411362 181836001766 207030146589 224620943358 272754002649 288798355746 336931415037 414060293178 433197533619 545508005298 621090439767 636426006181 673862830074 818262007947 866395067238 1010794245111 1242180879534 1272852012362 1636524015894 1909278018543 2021588490222 2454786023841 3032382735333 3818556037086 4909572047682 5727834055629 6064765470666 7364358071523 11455668111258 14728716143046 17183502166887 34367004333774 51550506500661 103101013001322