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117341187601 = 1141921492
BaseRepresentation
bin110110101001000010…
…1000110111000010001
3102012212201010221120011
41231102011012320101
53410303321000401
6125523352514521
711322552431521
oct1552205067021
9365781127504
10117341187601
1145845050000
121a8a93aba41
13b0b03c1bb1
145972195681
1530bb859451
hex1b52146e11

117341187601 has 45 divisors (see below), whose sum is σ = 137145847755. Its totient is φ = 100381145040.

The previous prime is 117341187599. The next prime is 117341187629. The reversal of 117341187601 is 106781143711.

The square root of 117341187601 is 342551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13747328001 + 103593859600 = 117249^2 + 321860^2 .

It is not a de Polignac number, because 117341187601 - 21 = 117341187599 is a prime.

It is a super-2 number, since 2×1173411876012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117341187661) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 787524675 + ... + 787524823.

Almost surely, 2117341187601 is an apocalyptic number.

117341187601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117341187601 is the 342551-st square number.

117341187601 is the 171276-th centered octagonal number.

It is an amenable number.

117341187601 is a deficient number, since it is larger than the sum of its proper divisors (19804660154).

117341187601 is an frugal number, since it uses more digits than its factorization.

117341187601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 117341187601 in words is "one hundred seventeen billion, three hundred forty-one million, one hundred eighty-seven thousand, six hundred one".

Divisors: 1 11 19 121 149 209 361 1331 1639 2299 2831 3971 14641 18029 22201 25289 31141 43681 53789 198319 244211 278179 342551 421819 480491 591679 2181509 2686321 3768061 4640009 5285401 6508469 8014561 29549531 41448671 51040099 71593159 88160171 325044841 561441089 787524749 969761881 6175851979 10667380691 117341187601