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32130103122 = 232131761132409
BaseRepresentation
bin11101111011000110…
…100111011101010010
310001221012110100112100
4131323012213131102
51011300301244442
622432123341230
72215133241015
oct357306473522
9101835410470
1032130103122
1112698673037
126288381816
133050792b50
1417ab2cd37c
15c80b3a84c
hex77b1a7752

32130103122 has 96 divisors (see below), whose sum is σ = 80682179760. Its totient is φ = 9152040960.

The previous prime is 32130103097. The next prime is 32130103123. The reversal of 32130103122 is 22130103123.

32130103122 is a `hidden beast` number, since 321 + 30 + 1 + 0 + 312 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12776006961 + 19354096161 = 113031^2 + 139119^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32130103095 and 32130103104.

It is not an unprimeable number, because it can be changed into a prime (32130103123) 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, 176454 + ... + 308862.

Almost surely, 232130103122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130103122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40341089880).

32130103122 is an abundant number, since it is smaller than the sum of its proper divisors (48552076638).

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

32130103122 is a wasteful number, since it uses less digits than its factorization.

32130103122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132508 (or 132505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32130103122 its reverse (22130103123), we get a palindrome (54260206245).

Subtracting from 32130103122 its reverse (22130103123), we obtain a palindrome (9999999999).

The spelling of 32130103122 in words is "thirty-two billion, one hundred thirty million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 61 78 102 117 122 153 183 221 234 306 366 442 549 663 793 1037 1098 1326 1586 1989 2074 2379 3111 3978 4758 6222 7137 9333 13481 14274 18666 26962 40443 80886 121329 132409 242658 264818 397227 794454 1191681 1721317 2250953 2383362 3442634 4501906 5163951 6752859 8076949 10327902 13505718 15491853 16153898 20258577 24230847 29262389 30983706 40517154 48461694 58524778 72692541 87787167 105000337 137308133 145385082 175574334 210000674 263361501 274616266 315001011 411924399 526723002 630002022 823848798 945003033 1235773197 1785005729 1890006066 2471546394 3570011458 5355017187 10710034374 16065051561 32130103122