Search a number
-
+
35111022134340 = 22355713343306563
BaseRepresentation
bin1111111101110111011000…
…00000001000010001000100
311121022120200111112122222210
413332323230000020101010
514100224333131244330
6202401440401223420
710252454600621325
oct776735400102104
9147276614478883
1035111022134340
111020755671a349
123b30902331b70
131678c556ba319
1489554d98644c
1540d4b91e78b0
hex1feeec008444

35111022134340 has 96 divisors (see below), whose sum is σ = 98512815937536. Its totient is φ = 9343715460480.

The previous prime is 35111022134323. The next prime is 35111022134369. The reversal of 35111022134340 is 4343122011153.

It is a super-2 number, since 2×351110221343402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35111022134298 and 35111022134307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114377899 + ... + 114684461.

It is an arithmetic number, because the mean of its divisors is an integer number (1026175166016).

Almost surely, 235111022134340 is an apocalyptic number.

35111022134340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35111022134340 is an abundant number, since it is smaller than the sum of its proper divisors (63401793803196).

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

35111022134340 is a wasteful number, since it uses less digits than its factorization.

35111022134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310489 (or 310487 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 35111022134340 its reverse (4343122011153), we get a palindrome (39454144145493).

The spelling of 35111022134340 in words is "thirty-five trillion, one hundred eleven billion, twenty-two million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 571 1142 1713 2284 2855 3343 3426 5710 6686 6852 8565 10029 11420 13372 16715 17130 20058 33430 34260 40116 50145 66860 100290 200580 306563 613126 919689 1226252 1532815 1839378 1908853 3065630 3678756 3817706 4598445 5726559 6131260 7635412 9196890 9544265 11453118 18393780 19088530 22906236 28632795 38177060 57265590 114531180 175047473 350094946 525142419 700189892 875237365 1024840109 1050284838 1750474730 2049680218 2100569676 2625712095 3074520327 3500949460 4099360436 5124200545 5251424190 6149040654 10248401090 10502848380 12298081308 15372601635 20496802180 30745203270 61490406540 585183702239 1170367404478 1755551106717 2340734808956 2925918511195 3511102213434 5851837022390 7022204426868 8777755533585 11703674044780 17555511067170 35111022134340