Search a number
-
+
321221121030 = 23256772297369
BaseRepresentation
bin1001010110010100100…
…01010101010000000110
31010201010110012200010200
410223022101111100012
520230330101333110
6403322243231330
732131105323015
oct4531221252006
91121113180120
10321221121030
11114257a48657
1252308378546
13243a24b4464
1411793694a7c
1585507386c0
hex4aca455406

321221121030 has 96 divisors (see below), whose sum is σ = 847872511200. Its totient is φ = 84357351936.

The previous prime is 321221121019. The next prime is 321221121059. The reversal of 321221121030 is 30121122123.

321221121030 is a `hidden beast` number, since 3 + 212 + 211 + 210 + 30 = 666.

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 = 321221120994 and 321221121012.

It is a congruent number.

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, 43587186 + ... + 43594554.

It is an arithmetic number, because the mean of its divisors is an integer number (8832005325).

Almost surely, 2321221121030 is an apocalyptic number.

321221121030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321221121030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423936255600).

321221121030 is an abundant number, since it is smaller than the sum of its proper divisors (526651390170).

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

321221121030 is a wasteful number, since it uses less digits than its factorization.

321221121030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14678 (or 14675 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321221121030 its reverse (30121122123), we get a palindrome (351342243153).

The spelling of 321221121030 in words is "three hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 7229 7369 14458 14738 21687 22107 36145 36845 43374 44214 65061 66321 72290 73690 108435 110535 130122 132642 216870 221070 325305 331605 484343 493723 650610 663210 968686 987446 1453029 1481169 2421715 2468615 2906058 2962338 4359087 4443507 4843430 4937230 7265145 7405845 8718174 8887014 14530290 14811690 21795435 22217535 43590870 44435070 53270501 106541002 159811503 266352505 319623006 479434509 532705010 799057515 958869018 1598115030 2397172545 3569123567 4794345090 7138247134 10707370701 17845617835 21414741402 32122112103 35691235670 53536853505 64244224206 107073707010 160610560515 321221121030