Search a number
-
+
115641360153341 = 11971396011297357
BaseRepresentation
bin11010010010110011011010…
…001100010111101011111101
3120011110012120012221110010122
4122102303122030113223331
5110124132001144401331
61045540524002144325
733233545464604331
oct3222633214275375
9504405505843118
10115641360153341
1133935253051660
1210b780a16520a5
134c6ac19ab2129
14207b100a377c1
15d5816cdac17b
hex692cda317afd

115641360153341 has 32 divisors (see below), whose sum is σ = 128585406714240. Its totient is φ = 103124233728000.

The previous prime is 115641360153323. The next prime is 115641360153353. The reversal of 115641360153341 is 143351063146511.

It is a cyclic number.

It is not a de Polignac number, because 115641360153341 - 226 = 115641293044477 is a prime.

It is a super-2 number, since 2×1156413601533412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 115641360153292 and 115641360153301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115641360153301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88487435 + ... + 89784791.

It is an arithmetic number, because the mean of its divisors is an integer number (4018293959820).

Almost surely, 2115641360153341 is an apocalyptic number.

115641360153341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

115641360153341 is a deficient number, since it is larger than the sum of its proper divisors (12944046560899).

115641360153341 is a wasteful number, since it uses less digits than its factorization.

115641360153341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298205.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 115641360153341 in words is "one hundred fifteen trillion, six hundred forty-one billion, three hundred sixty million, one hundred fifty-three thousand, three hundred forty-one".

Divisors: 1 11 97 139 601 1067 1529 6611 13483 58297 83539 148313 641267 918929 1297357 8103283 14270927 89136113 125843629 180332623 779711557 1384279919 1983658853 8576827127 17492264431 75632021029 108379906423 192414908741 831952231319 1192178970653 10512850923031 115641360153341