Search a number
-
+
323001100020 = 2235371061137131
BaseRepresentation
bin1001011001101000101…
…11011010011011110100
31010212201111112222021110
410230310113122123310
520243001240200040
6404215030315020
732223161023104
oct4546427323364
91125644488243
10323001100020
11114a90778175
12527244b8a70
13245c71b4671
14118c1c39204
158606b39980
hex4b345da6f4

323001100020 has 96 divisors (see below), whose sum is σ = 929728630656. Its totient is φ = 83726092800.

The previous prime is 323001099991. The next prime is 323001100021. The reversal of 323001100020 is 20001100323.

It is a happy number.

It is a super-2 number, since 2×3230011000202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 323001099969 and 323001100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323001100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2286855 + ... + 2423985.

It is an arithmetic number, because the mean of its divisors is an integer number (9684673236).

Almost surely, 2323001100020 is an apocalyptic number.

323001100020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323001100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464864315328).

323001100020 is an abundant number, since it is smaller than the sum of its proper divisors (606727530636).

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

323001100020 is a wasteful number, since it uses less digits than its factorization.

323001100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138241 (or 138239 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 323001100020 its reverse (20001100323), we get a palindrome (343002200343).

The spelling of 323001100020 in words is "three hundred twenty-three billion, one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1061 1110 2122 2220 3183 4244 5305 6366 10610 12732 15915 21220 31830 39257 63660 78514 117771 137131 157028 196285 235542 274262 392570 411393 471084 548524 588855 685655 785140 822786 1177710 1371310 1645572 2056965 2355420 2742620 4113930 5073847 8227860 10147694 15221541 20295388 25369235 30443082 50738470 60886164 76107705 101476940 145495991 152215410 290991982 304430820 436487973 581983964 727479955 872975946 1454959910 1745951892 2182439865 2909919820 4364879730 5383351667 8729759460 10766703334 16150055001 21533406668 26916758335 32300110002 53833516670 64600220004 80750275005 107667033340 161500550010 323001100020