Search a number
-
+
3101423361336 = 2332533019269209
BaseRepresentation
bin101101001000011011001…
…111001101110100111000
3101222111022112012212101100
4231020123033031310320
5401303203340030321
610332435122051400
7440033106414066
oct55103317156470
911874275185340
103101423361336
11a963406a7263
124210b04a9b60
131966031aa491
14aa176dcb036
1555a1d8da326
hex2d21b3cdd38

3101423361336 has 96 divisors (see below), whose sum is σ = 8561039526000. Its totient is φ = 1013962240512.

The previous prime is 3101423361331. The next prime is 3101423361349. The reversal of 3101423361336 is 6331633241013.

3101423361336 is a `hidden beast` number, since 3 + 1 + 0 + 1 + 4 + 2 + 3 + 3 + 613 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3101423361336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101423361331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11385900 + ... + 11655108.

Almost surely, 23101423361336 is an apocalyptic number.

3101423361336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101423361336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280519763000).

3101423361336 is an abundant number, since it is smaller than the sum of its proper divisors (5459616164664).

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

3101423361336 is a wasteful number, since it uses less digits than its factorization.

3101423361336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272293 (or 272286 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 3101423361336 in words is "three trillion, one hundred one billion, four hundred twenty-three million, three hundred sixty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3019 3816 6038 9057 12076 18114 24152 27171 36228 54342 72456 108684 160007 217368 269209 320014 480021 538418 640028 807627 960042 1076836 1280056 1440063 1615254 1920084 2153672 2422881 2880126 3230508 3840168 4845762 5760252 6461016 9691524 11520504 14268077 19383048 28536154 42804231 57072308 85608462 114144616 128412693 171216924 256825386 342433848 513650772 812741971 1027301544 1625483942 2438225913 3250967884 4876451826 6501935768 7314677739 9752903652 14629355478 19505807304 29258710956 43075324463 58517421912 86150648926 129225973389 172301297852 258451946778 344602595704 387677920167 516903893556 775355840334 1033807787112 1550711680668 3101423361336