Search a number
-
+
35207100010104 = 23311414317546841
BaseRepresentation
bin10000000000101010010101…
…01100001000111001111000
311121122202200100000110020220
420000111022230020321320
514103313120100310404
6202513530215420040
710262425521241311
oct1000251254107170
9147582610013226
1035207100010104
111024427a121460
123b47456684620
131685027773899
1489a065b65608
15410c3de414d9
hex20054ab08e78

35207100010104 has 128 divisors (see below), whose sum is σ = 98589528898560. Its totient is φ = 10384451840000.

The previous prime is 35207100010087. The next prime is 35207100010127. The reversal of 35207100010104 is 40101000170253.

It is a super-2 number, since 2×352071000101042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891724 + ... + 8438564.

It is an arithmetic number, because the mean of its divisors is an integer number (770230694520).

Almost surely, 235207100010104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35207100010104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49294764449280).

35207100010104 is an abundant number, since it is smaller than the sum of its proper divisors (63382428888456).

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

35207100010104 is a wasteful number, since it uses less digits than its factorization.

35207100010104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547333 (or 7547329 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 35207100010104 its reverse (40101000170253), we get a palindrome (75308100180357).

The spelling of 35207100010104 in words is "thirty-five trillion, two hundred seven billion, one hundred million, ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 431 451 492 862 902 984 1293 1353 1724 1804 2586 2706 3448 3608 4741 5172 5412 9482 10344 10824 14223 17671 18964 28446 35342 37928 53013 56892 70684 106026 113784 141368 194381 212052 388762 424104 583143 777524 1166286 1555048 2332572 4665144 7546841 15093682 22640523 30187364 45281046 60374728 83015251 90562092 166030502 181124184 249045753 309420481 332061004 498091506 618840962 664122008 928261443 996183012 1237681924 1856522886 1992366024 2475363848 3252688471 3403625291 3713045772 6505376942 6807250582 7426091544 9758065413 10210875873 13010753884 13614501164 19516130826 20421751746 26021507768 27229002328 35779573181 39032261652 40843503492 71559146362 78064523304 81687006984 107338719543 133360227311 143118292724 214677439086 266720454622 286236585448 400080681933 429354878172 533440909244 800161363866 858709756344 1066881818488 1466962500421 1600322727732 2933925000842 3200645455464 4400887501263 5867850001684 8801775002526 11735700003368 17603550005052 35207100010104