Search a number
-
+
103131001030032 = 2433303271787181
BaseRepresentation
bin10111011100110000001110…
…101011101000010110010000
3111112011020010210010122102000
4113130300032223220112100
5102004144242230430112
61003201421112554000
730502653226604523
oct2734601653502620
9445136123118360
10103131001030032
112a951680509728
12b69758b6b2900
13457129a058621
141b677d210cbba
15bdca19bad7dc
hex5dcc0eae8590

103131001030032 has 80 divisors (see below), whose sum is σ = 296025521784960. Its totient is φ = 34376843318400.

The previous prime is 103131001029929. The next prime is 103131001030037. The reversal of 103131001030032 is 230030100131301.

It is a happy number.

103131001030032 is a `hidden beast` number, since 1 + 0 + 313 + 10 + 0 + 10 + 300 + 32 = 666.

It is a super-2 number, since 2×1031310010300322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103131001029987 and 103131001030014.

It is not an unprimeable number, because it can be changed into a prime (103131001030037) 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, 130619482 + ... + 131406662.

It is an arithmetic number, because the mean of its divisors is an integer number (3700319022312).

Almost surely, 2103131001030032 is an apocalyptic number.

103131001030032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103131001030032 is an abundant number, since it is smaller than the sum of its proper divisors (192894520754928).

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

103131001030032 is a wasteful number, since it uses less digits than its factorization.

103131001030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090469 (or 1090457 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103131001030032 its reverse (230030100131301), we get a palindrome (333161101161333).

The spelling of 103131001030032 in words is "one hundred three trillion, one hundred thirty-one billion, one million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 303271 606542 787181 909813 1213084 1574362 1819626 2361543 2426168 2729439 3148724 3639252 4723086 4852336 5458878 6297448 7084629 7278504 8188317 9446172 10917756 12594896 14169258 14557008 16376634 18892344 21253887 21835512 28338516 32753268 37784688 42507774 43671024 56677032 65506536 85015548 113354064 131013072 170031096 340062192 238729169051 477458338102 716187507153 954916676204 1432375014306 1909833352408 2148562521459 2864750028612 3819666704816 4297125042918 5729500057224 6445687564377 8594250085836 11459000114448 12891375128754 17188500171672 25782750257508 34377000343344 51565500515016 103131001030032