Search a number
-
+
231001012332 = 223247273149991
BaseRepresentation
bin1101011100100010111…
…0111011100001101100
3211002020212011021122100
43113020232323201230
512241042224343312
6254042001215100
722455264131106
oct3271056734154
9732225137570
10231001012332
1189a7005a652
1238929931490
1318a24bb715c
14b27545c576
15601edce5dc
hex35c8bbb86c

231001012332 has 72 divisors (see below), whose sum is σ = 596573332992. Its totient is φ = 75332930400.

The previous prime is 231001012327. The next prime is 231001012349. The reversal of 231001012332 is 233210100132.

231001012332 is a `hidden beast` number, since 2 + 310 + 0 + 10 + 12 + 332 = 666.

231001012332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2310010123322 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4595857 + ... + 4645847.

It is an arithmetic number, because the mean of its divisors is an integer number (8285740736).

Almost surely, 2231001012332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231001012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298286666496).

231001012332 is an abundant number, since it is smaller than the sum of its proper divisors (365572320660).

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

231001012332 is a wasteful number, since it uses less digits than its factorization.

231001012332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52779 (or 52774 counting only the distinct ones).

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

Adding to 231001012332 its reverse (233210100132), we get a palindrome (464211112464).

The spelling of 231001012332 in words is "two hundred thirty-one billion, one million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2731 5462 8193 10924 16386 24579 32772 49158 49991 98316 99982 128357 149973 199964 256714 299946 385071 449919 513428 599892 770142 899838 1155213 1540284 1799676 2310426 2349577 4620852 4699154 7048731 9398308 14097462 21146193 28194924 42292386 84584772 136525421 273050842 409576263 546101684 819152526 1228728789 1638305052 2457457578 4914915156 6416694787 12833389574 19250084361 25666779148 38500168722 57750253083 77000337444 115500506166 231001012332