Search a number
-
+
332101121022 = 2321141139294311
BaseRepresentation
bin1001101010100101100…
…01001111001111111110
31011202012200211221022100
410311102301033033332
520420120341333042
6412322023325530
732664526644426
oct4652261171776
91152180757270
10332101121022
11118930474690
1254443bb08a6
13254175b4b88
1412106649486
15898a9c224c
hex4d52c4f3fe

332101121022 has 96 divisors (see below), whose sum is σ = 809899534080. Its totient is φ = 97475472000.

The previous prime is 332101120957. The next prime is 332101121101. The reversal of 332101121022 is 220121101233.

332101121022 is a `hidden beast` number, since 332 + 101 + 1 + 210 + 22 = 666.

It is a super-2 number, since 2×3321011210222 (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 a junction number, because it is equal to n+sod(n) for n = 332101120986 and 332101121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981247 + ... + 1275557.

It is an arithmetic number, because the mean of its divisors is an integer number (8436453480).

Almost surely, 2332101121022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332101121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404949767040).

332101121022 is an abundant number, since it is smaller than the sum of its proper divisors (477798413058).

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

332101121022 is a wasteful number, since it uses less digits than its factorization.

332101121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294510 (or 294507 counting only the distinct ones).

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

Adding to 332101121022 its reverse (220121101233), we get a palindrome (552222222255).

The spelling of 332101121022 in words is "three hundred thirty-two billion, one hundred one million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 139 198 246 278 369 417 451 738 834 902 1251 1353 1529 2502 2706 3058 4059 4587 5699 8118 9174 11398 13761 17097 27522 34194 51291 62689 102582 125378 188067 294311 376134 564201 588622 882933 1128402 1765866 2648799 3237421 5297598 6474842 9712263 12066751 19424526 24133502 29136789 36200253 40909229 58273578 72400506 81818458 108600759 122727687 132734261 217201518 245455374 265468522 368183061 398202783 450001519 736366122 796405566 900003038 1194608349 1350004557 1677278389 2389216698 2700009114 3354556778 4050013671 5031835167 8100027342 10063670334 15095505501 18450062279 30191011002 36900124558 55350186837 110700373674 166050560511 332101121022