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101131232241 = 313113198711549
BaseRepresentation
bin101111000101111100…
…1000010001111110001
3100200001000020220011010
41132023321002033301
53124104043412431
6114243053141133
710210061201454
oct1361371021761
9320030226133
10101131232241
1139986a42686
121772478a7a9
1396c8ca7230
144c753ad49b
15296d6de846
hex178be423f1

101131232241 has 32 divisors (see below), whose sum is σ = 146585577600. Its totient is φ = 61647473664.

The previous prime is 101131232207. The next prime is 101131232269. The reversal of 101131232241 is 142232131101.

It is not a de Polignac number, because 101131232241 - 213 = 101131224049 is a prime.

It is a super-2 number, since 2×1011312322412 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101131232441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8750935 + ... + 8762483.

It is an arithmetic number, because the mean of its divisors is an integer number (4580799300).

Almost surely, 2101131232241 is an apocalyptic number.

It is an amenable number.

101131232241 is a deficient number, since it is larger than the sum of its proper divisors (45454345359).

101131232241 is a wasteful number, since it uses less digits than its factorization.

101131232241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13665.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101131232241 its reverse (142232131101), we get a palindrome (243363363342).

The spelling of 101131232241 in words is "one hundred one billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 13 39 113 339 1469 1987 4407 5961 11549 25831 34647 77493 150137 224531 450411 673593 1305037 2918903 3915111 8756709 16965481 22947863 50896443 68843589 298322219 894966657 2593108519 7779325557 33710410747 101131232241