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335117105257 = 11376113498091
BaseRepresentation
bin1001110000001101000…
…10010011100001101001
31012000222212221210220011
410320012202103201221
520442304434332012
6413541202331521
733132341252404
oct4700642234151
91160885853804
10335117105257
1111a138962240
1254b46059ba1
13257a83a4a2c
1412311012d3b
158ab56721a7
hex4e06893869

335117105257 has 16 divisors (see below), whose sum is σ = 381618057024. Its totient is φ = 291558744000.

The previous prime is 335117105233. The next prime is 335117105263. The reversal of 335117105257 is 752501711533.

It is a cyclic number.

It is not a de Polignac number, because 335117105257 - 215 = 335117072489 is a prime.

It is a super-2 number, since 2×3351171052572 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (335117105227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6724219 + ... + 6773872.

It is an arithmetic number, because the mean of its divisors is an integer number (23851128564).

Almost surely, 2335117105257 is an apocalyptic number.

335117105257 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

335117105257 is a deficient number, since it is larger than the sum of its proper divisors (46500951767).

335117105257 is a wasteful number, since it uses less digits than its factorization.

335117105257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13498200.

The product of its (nonzero) digits is 110250, while the sum is 40.

The spelling of 335117105257 in words is "three hundred thirty-five billion, one hundred seventeen million, one hundred five thousand, two hundred fifty-seven".

Divisors: 1 11 37 61 407 671 2257 24827 13498091 148479001 499429367 823383551 5493723037 9057219061 30465191387 335117105257