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101310240141 = 32114436913343
BaseRepresentation
bin101111001011010001…
…1111001010110001101
3100200111111002102211100
41132112203321112031
53124440410141031
6114312530013313
710214363555415
oct1362643712615
9320444072740
10101310240141
1139a68a979a0
1217774717239
1397270c1676
144c91089645
15297e29dde6
hex17968f958d

101310240141 has 48 divisors (see below), whose sum is σ = 160280220672. Its totient is φ = 61154589600.

The previous prime is 101310240107. The next prime is 101310240167. The reversal of 101310240141 is 141042013101.

101310240141 is a `hidden beast` number, since 101 + 310 + 240 + 14 + 1 = 666.

It is not a de Polignac number, because 101310240141 - 26 = 101310240077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310241141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30303516 + ... + 30306858.

It is an arithmetic number, because the mean of its divisors is an integer number (3339171264).

Almost surely, 2101310240141 is an apocalyptic number.

101310240141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101310240141 is a deficient number, since it is larger than the sum of its proper divisors (58969980531).

101310240141 is a wasteful number, since it uses less digits than its factorization.

101310240141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101310240141 its reverse (141042013101), we get a palindrome (242352253242).

The spelling of 101310240141 in words is "one hundred one billion, three hundred ten million, two hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 443 691 1329 2073 3343 3987 4873 6219 7601 10029 14619 22803 30087 36773 43857 68409 110319 306113 330957 918339 1480949 2310013 2755017 3367243 4442847 6930039 10101729 13328541 16290439 20790117 25410143 30305187 48871317 76230429 146613951 228691287 1023335759 3070007277 9210021831 11256693349 33770080047 101310240141