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320134152132 = 2232411371583161
BaseRepresentation
bin1001010100010010111…
…10110111111111000100
31010121022200212221010100
410222021132313333010
520221113320332012
6403022333524100
732062136252334
oct4521136677704
91117280787110
10320134152132
1111384a423853
1252064343630
132425b246bb2
14116cd1890c4
1584da0c88dc
hex4a897b7fc4

320134152132 has 72 divisors (see below), whose sum is σ = 835016632632. Its totient is φ = 103348684800.

The previous prime is 320134152127. The next prime is 320134152139. The reversal of 320134152132 is 231251431023.

320134152132 is a `hidden beast` number, since 3 + 2 + 0 + 134 + 1 + 521 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70280130816 + 249854021316 = 265104^2 + 499854^2 .

It is a super-2 number, since 2×3201341521322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320134152096 and 320134152105.

It is not an unprimeable number, because it can be changed into a prime (320134152139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589369 + ... + 993792.

It is an arithmetic number, because the mean of its divisors is an integer number (11597453231).

Almost surely, 2320134152132 is an apocalyptic number.

It is an amenable number.

320134152132 is an abundant number, since it is smaller than the sum of its proper divisors (514882480500).

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

320134152132 is a wasteful number, since it uses less digits than its factorization.

320134152132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583349 (or 1583344 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 320134152132 its reverse (231251431023), we get a palindrome (551385583155).

The spelling of 320134152132 in words is "three hundred twenty billion, one hundred thirty-four million, one hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 137 164 246 274 369 411 492 548 738 822 1233 1476 1644 2466 4932 5617 11234 16851 22468 33702 50553 67404 101106 202212 1583161 3166322 4749483 6332644 9498966 14248449 18997932 28496898 56993796 64909601 129819202 194728803 216893057 259638404 389457606 433786114 584186409 650679171 778915212 867572228 1168372818 1301358342 1952037513 2336745636 2602716684 3904075026 7808150052 8892615337 17785230674 26677846011 35570461348 53355692022 80033538033 106711384044 160067076066 320134152132