Search a number
-
+
3321222001230 = 2357373531210883
BaseRepresentation
bin110000010101001000010…
…000011111001001001110
3102202111122200010122222210
4300111020100133021032
5413403330313014410
611021425345451250
7461643656134230
oct60251020371116
912674580118883
103321222001230
111070582265671
12457812640b26
131b1261261b93
14b6a6873a250
155b5d50a3220
hex3054841f24e

3321222001230 has 128 divisors (see below), whose sum is σ = 9382355463168. Its totient is φ = 736526241792.

The previous prime is 3321222001213. The next prime is 3321222001249. The reversal of 3321222001230 is 321002221233.

It is a happy number.

It is a super-2 number, since 2×33212220012302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3321222001197 and 3321222001206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2137369 + ... + 3348251.

It is an arithmetic number, because the mean of its divisors is an integer number (73299652056).

Almost surely, 23321222001230 is an apocalyptic number.

3321222001230 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 3321222001230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691177731584).

3321222001230 is an abundant number, since it is smaller than the sum of its proper divisors (6061133461938).

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

3321222001230 is a wasteful number, since it uses less digits than its factorization.

3321222001230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211290.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3321222001230 its reverse (321002221233), we get a palindrome (3642224222463).

The spelling of 3321222001230 in words is "three trillion, three hundred twenty-one billion, two hundred twenty-two million, one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 353 370 518 555 706 777 1059 1110 1295 1554 1765 2118 2471 2590 3530 3885 4942 5295 7413 7770 10590 12355 13061 14826 24710 26122 37065 39183 65305 74130 78366 91427 130610 182854 195915 274281 391830 457135 548562 914270 1210883 1371405 2421766 2742810 3632649 6054415 7265298 8476181 12108830 16952362 18163245 25428543 36326490 42380905 44802671 50857086 84761810 89605342 127142715 134408013 224013355 254285430 268816026 313618697 427441699 448026710 627237394 672040065 854883398 940856091 1282325097 1344080130 1568093485 1881712182 2137208495 2564650194 2992091893 3136186970 4274416990 4704280455 5984183786 6411625485 8976275679 9408560910 12823250970 14960459465 15815342863 17952551358 29920918930 31630685726 44881378395 47446028589 79076714315 89762756790 94892057178 110707400041 158153428630 221414800082 237230142945 332122200123 474460285890 553537000205 664244400246 1107074000410 1660611000615 3321222001230