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10130331122301 = 31316728313734003
BaseRepresentation
bin1001001101101010011011…
…0010011011101001111101
31022212110011012020020212010
42103122212302123221331
52311433404231403201
633313450533201433
72063615022532635
oct223324662335175
938773135206763
1010130331122301
113256281904245
1211773ab490279
135863948068c0
1427044c58d6c5
151287a6db1bd6
hex936a6c9ba7d

10130331122301 has 64 divisors (see below), whose sum is σ = 14699293120512. Its totient is φ = 6168784995072.

The previous prime is 10130331122293. The next prime is 10130331122341. The reversal of 10130331122301 is 10322113303101.

It is a happy number.

It is not a de Polignac number, because 10130331122301 - 23 = 10130331122293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130331122341) 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, 2530682766 + ... + 2530686768.

It is an arithmetic number, because the mean of its divisors is an integer number (229676455008).

Almost surely, 210130331122301 is an apocalyptic number.

It is an amenable number.

10130331122301 is a deficient number, since it is larger than the sum of its proper divisors (4568961998211).

10130331122301 is a wasteful number, since it uses less digits than its factorization.

10130331122301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5842.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10130331122301 its reverse (10322113303101), we get a palindrome (20452444425402).

The spelling of 10130331122301 in words is "ten trillion, one hundred thirty billion, three hundred thirty-one million, one hundred twenty-two thousand, three hundred one".

Divisors: 1 3 13 39 167 283 501 849 1373 2171 3679 4003 4119 6513 11037 12009 17849 47261 52039 53547 141783 156117 229291 388559 614393 668501 687873 1132849 1165677 1843179 2005503 2980783 3398547 5051267 5496119 8690513 8942349 14727037 15153801 16488357 26071539 44181111 64889353 71449547 189185783 194668059 214348641 567557349 843561589 917851873 1555401677 2459415179 2530684767 2753555619 4666205031 7378245537 11932074349 20220221801 35796223047 60660665403 259752080059 779256240177 3376777040767 10130331122301