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13102422105402 = 2327283827216421
BaseRepresentation
bin1011111010101010010100…
…1101110001110100111010
31201101120122022202120111200
42332222211031301310322
53204132230024333102
643511100345435030
72521422143211600
oct276524515616472
951346568676450
1013102422105402
1141a17847764a3
12157740679ba76
13740726223306
14334236a1b870
1517ac5636251c
hexbeaa5371d3a

13102422105402 has 144 divisors (see below), whose sum is σ = 33461891884512. Its totient is φ = 3693956978880.

The previous prime is 13102422105391. The next prime is 13102422105457. The reversal of 13102422105402 is 20450122420131.

13102422105402 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 2 + 42 + 210 + 5 + 402 = 666.

It is a super-3 number, since 3×131024221054023 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60433152 + ... + 60649572.

It is an arithmetic number, because the mean of its divisors is an integer number (232374249198).

Almost surely, 213102422105402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102422105402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16730945942256).

13102422105402 is an abundant number, since it is smaller than the sum of its proper divisors (20359469779110).

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

13102422105402 is a wasteful number, since it uses less digits than its factorization.

13102422105402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217353 (or 217343 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13102422105402 its reverse (20450122420131), we get a palindrome (33552544525533).

The spelling of 13102422105402 in words is "thirteen trillion, one hundred two billion, four hundred twenty-two million, one hundred five thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 83 98 126 147 166 249 294 441 498 581 747 827 882 1162 1494 1654 1743 2481 3486 4067 4962 5229 5789 7443 8134 10458 11578 12201 14886 17367 24402 34734 36603 40523 52101 68641 73206 81046 104202 121569 137282 205923 216421 243138 364707 411846 432842 480487 617769 649263 729414 960974 1235538 1298526 1441461 1514947 1947789 2882922 3029894 3363409 3895578 4324383 4544841 6726818 8648766 9089682 10090227 10604629 13634523 17962943 20180454 21209258 27269046 30270681 31813887 35925886 53888829 60541362 63627774 95441661 107777658 125740601 161666487 178980167 190883322 251481202 323332974 357960334 377221803 536940501 754443606 880184207 1073881002 1131665409 1252861169 1610821503 1760368414 2263330818 2505722338 2640552621 3221643006 3758583507 5281105242 7517167014 7921657863 8770028183 11275750521 14855353861 15843315726 17540056366 22551501042 26310084549 29710707722 44566061583 52620169098 78930253647 89132123166 103987477027 133698184749 157860507294 207974954054 267396369498 311962431081 623924862162 727912339189 935887293243 1455824678378 1871774586486 2183737017567 4367474035134 6551211052701 13102422105402