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13102240410402 = 231113127184765101
BaseRepresentation
bin1011111010101001101001…
…1000101010101100100010
31201101120011122212111211020
42332222122120222230202
53204131342021113102
643511030335230310
72521414505633553
oct276523230525442
951346148774736
1013102240410402
1141a16a1156340
121577375978396
137406c76a7a90
1433421a84232a
1517ac45421bbc
hexbea9a62ab22

13102240410402 has 128 divisors (see below), whose sum is σ = 31045366775808. Its totient is φ = 3634079904000.

The previous prime is 13102240410257. The next prime is 13102240410421. The reversal of 13102240410402 is 20401404220131.

13102240410402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201227652 + ... + 201292752.

It is an arithmetic number, because the mean of its divisors is an integer number (242541927936).

Almost surely, 213102240410402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102240410402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522683387904).

13102240410402 is an abundant number, since it is smaller than the sum of its proper divisors (17943126365406).

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

13102240410402 is a wasteful number, since it uses less digits than its factorization.

13102240410402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67104.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13102240410402 its reverse (20401404220131), we get a palindrome (33503644630533).

The spelling of 13102240410402 in words is "thirteen trillion, one hundred two billion, two hundred forty million, four hundred ten thousand, four hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 127 143 254 286 381 429 762 858 1397 1651 1847 2794 3302 3694 4191 4953 5541 8382 9906 11082 18161 20317 24011 36322 40634 48022 54483 60951 65101 72033 108966 121902 130202 144066 195303 234569 264121 390606 469138 528242 703707 716111 792363 846313 1407414 1432222 1584726 1692626 2148333 2538939 2580259 3049397 4296666 5077878 5160518 6098794 7740777 8267827 9148191 9309443 15481554 16535654 18296382 18618886 24803481 27928329 33543367 49606962 55856658 67086734 90946097 100630101 107481751 120241547 181892194 201260202 214963502 240483094 272838291 322445253 360724641 545676582 644890506 721449282 1182299261 1322657017 1563140111 2364598522 2645314034 3126280222 3546897783 3967971051 4689420333 7093795566 7935942102 9378840666 15270676469 17194541221 30541352938 34389082442 45812029407 51583623663 91624058814 103167247326 167977441159 198518794097 335954882318 397037588194 503932323477 595556382291 1007864646954 1191112764582 2183706735067 4367413470134 6551120205201 13102240410402