Search a number
-
+
121177541267131 = 19311291159360469
BaseRepresentation
bin11011100011010111011000…
…010011010100111010111011
3120220001110102012102022020211
4123203113120103110322323
5111340333101031022011
61105420105520531551
734344534302620666
oct3343273023247273
9526043365368224
10121177541267131
113567a119a53948
1211711029480bb7
13527ccbab28b1b
1421cd04a9246dd
15e0218c7ebb21
hex6e35d84d4ebb

121177541267131 has 16 divisors (see below), whose sum is σ = 131771985433600. Its totient is φ = 111010502008800.

The previous prime is 121177541267117. The next prime is 121177541267137. The reversal of 121177541267131 is 131762145771121.

It is a cyclic number.

It is not a de Polignac number, because 121177541267131 - 29 = 121177541266619 is a prime.

It is a super-4 number, since 4×1211775412671314 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (121177541267137) 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, 78919836 + ... + 80440633.

It is an arithmetic number, because the mean of its divisors is an integer number (8235749089600).

Almost surely, 2121177541267131 is an apocalyptic number.

121177541267131 is a deficient number, since it is larger than the sum of its proper divisors (10594444166469).

121177541267131 is a wasteful number, since it uses less digits than its factorization.

121177541267131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159361810.

The product of its digits is 493920, while the sum is 49.

The spelling of 121177541267131 in words is "one hundred twenty-one trillion, one hundred seventy-seven billion, five hundred forty-one million, two hundred sixty-seven thousand, one hundred thirty-one".

Divisors: 1 19 31 589 1291 24529 40021 760399 159360469 3027848911 4940174539 93863316241 205734365479 3908952944101 6377765329849 121177541267131