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101331540312303 = 37311449611073773
BaseRepresentation
bin10111000010100100010110…
…011101110000000011101111
3111021210012102021022212010210
4113002210112131300003233
5101240203443304443203
6555303022244433503
730225651014066130
oct2702442635600357
9437705367285123
10101331540312303
112a318512886874
12b4468939a8893
1344706a5770472
141b046891ddc87
15baacec67c803
hex5c29167700ef

101331540312303 has 32 divisors (see below), whose sum is σ = 159392180826112. Its totient is φ = 56035436083200.

The previous prime is 101331540312293. The next prime is 101331540312319. The reversal of 101331540312303 is 303213045133101.

It is a happy number.

It is not a de Polignac number, because 101331540312303 - 29 = 101331540311791 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331540312103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93832725 + ... + 94906497.

It is an arithmetic number, because the mean of its divisors is an integer number (4981005650816).

Almost surely, 2101331540312303 is an apocalyptic number.

101331540312303 is a deficient number, since it is larger than the sum of its proper divisors (58060640513809).

101331540312303 is a wasteful number, since it uses less digits than its factorization.

101331540312303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218775.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 101331540312303 its reverse (303213045133101), we get a palindrome (404544585445404).

The spelling of 101331540312303 in words is "one hundred one trillion, three hundred thirty-one billion, five hundred forty million, three hundred twelve thousand, three hundred three".

Divisors: 1 3 7 21 31 93 217 651 144961 434883 1014727 1073773 3044181 3221319 4493791 7516411 13481373 22549233 31456537 33286963 94369611 99860889 233008741 699026223 155655207853 466965623559 1089586454971 3268759364913 4825311443443 14475934330329 33777180104101 101331540312303