Search a number
-
+
10130312021121 = 3310141957115527
BaseRepresentation
bin1001001101101010010110…
…1001100100010010000001
31022212110002212021210222000
42103122211221210102001
52311433334334133441
633313445011534213
72063614401266235
oct223324551442201
938773085253860
1010130312021121
113256272048246
1211773a4bba369
13586390879626
14270449c1a5c5
151287a538c2b6
hex936a5a64481

10130312021121 has 64 divisors (see below), whose sum is σ = 15220222617600. Its totient is φ = 6658604568000.

The previous prime is 10130312021117. The next prime is 10130312021147. The reversal of 10130312021121 is 12112021303101.

10130312021121 is a `hidden beast` number, since 10 + 1 + 303 + 120 + 211 + 21 = 666.

It is not a de Polignac number, because 10130312021121 - 22 = 10130312021117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10130312021094 and 10130312021103.

It is not an unprimeable number, because it can be changed into a prime (10130312021101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652424260 + ... + 652439786.

It is an arithmetic number, because the mean of its divisors is an integer number (237815978400).

Almost surely, 210130312021121 is an apocalyptic number.

It is an amenable number.

10130312021121 is a deficient number, since it is larger than the sum of its proper divisors (5089910596479).

10130312021121 is a wasteful number, since it uses less digits than its factorization.

10130312021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16627 (or 16621 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10130312021121 its reverse (12112021303101), we get a palindrome (22242333324222).

The spelling of 10130312021121 in words is "ten trillion, one hundred thirty billion, three hundred twelve million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 101 303 419 571 909 1257 1713 2727 3771 5139 11313 15417 15527 42319 46581 57671 126957 139743 173013 239249 380871 419229 519039 717747 1142613 1557117 1568227 2153241 4704681 6459723 6505813 8865917 14114043 19517439 24164149 26597751 42342129 58552317 72492447 79793253 175656951 217477341 239379759 652432023 657087113 895457617 1971261339 2686372851 3714819223 5913784017 8059118553 11144457669 17741352051 24177355659 33433373007 100300119021 375196741523 1125590224569 3376770673707 10130312021121