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131330230122 = 237213151122741
BaseRepresentation
bin111101001001111100…
…1000100011101101010
3110112222121222221022010
41322103321010131222
54122431014330442
6140155434340350
712326325352200
oct1722371043552
9415877887263
10131330230122
1150773544773
122155228a6b6
13c4cc665450
1464dc019070
153639a25b9c
hex1e93e4476a

131330230122 has 96 divisors (see below), whose sum is σ = 329279416704. Its totient is φ = 34612099200.

The previous prime is 131330230111. The next prime is 131330230133. The reversal of 131330230122 is 221032033131.

It is an interprime number because it is at equal distance from previous prime (131330230111) and next prime (131330230133).

It is a super-2 number, since 2×1313302301222 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5763672 + ... + 5786412.

It is an arithmetic number, because the mean of its divisors is an integer number (3429993924).

Almost surely, 2131330230122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131330230122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164639708352).

131330230122 is an abundant number, since it is smaller than the sum of its proper divisors (197949186582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131330230122 is a wasteful number, since it uses less digits than its factorization.

131330230122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24284 (or 24277 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131330230122 its reverse (221032033131), we get a palindrome (352362263253).

The spelling of 131330230122 in words is "one hundred thirty-one billion, three hundred thirty million, two hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1511 1911 3022 3822 4533 9066 10577 19643 21154 22741 31731 39286 45482 58929 63462 68223 74039 117858 136446 137501 148078 159187 222117 275002 295633 318374 412503 444234 477561 591266 825006 886899 955122 962507 1114309 1773798 1925014 2069431 2228618 2887521 3342927 4138862 5775042 6208293 6685854 12416586 14486017 28972034 34361651 43458051 68723302 86916102 103084953 206169906 240531557 446701463 481063114 721594671 893402926 1340104389 1443189342 1683720899 2680208778 3126910241 3367441798 5051162697 6253820482 9380730723 10102325394 18761461446 21888371687 43776743374 65665115061 131330230122