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241013122100330 = 25176138997761153
BaseRepresentation
bin110110110011001100111101…
…100001110110110001101010
31011121100121222212112020222212
4312303030331201312301222
5223042224333224202310
62212331522204245122
7101523423562214546
oct6663147541666152
91147317885466885
10241013122100330
116a881100254528
1223045b5ab407a2
13a4635945a4a88
1443731511b6a26
151cce487542205
hexdb333d876c6a

241013122100330 has 128 divisors (see below), whose sum is σ = 468559805163840. Its totient is φ = 88924909731840.

The previous prime is 241013122100327. The next prime is 241013122100417. The reversal of 241013122100330 is 33001221310142.

It can be written as a sum of positive squares in 32 ways, for example, as 14093334383881 + 226919787716449 = 3754109^2 + 15063857^2 .

It is a super-2 number, since 2×2410131221003302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241013122100296 and 241013122100305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3941119034 + ... + 3941180186.

Almost surely, 2241013122100330 is an apocalyptic number.

241013122100330 is a deficient number, since it is larger than the sum of its proper divisors (227546683063510).

241013122100330 is a wasteful number, since it uses less digits than its factorization.

241013122100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62604.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 241013122100330 its reverse (33001221310142), we get a palindrome (274014343410472).

The spelling of 241013122100330 in words is "two hundred forty-one trillion, thirteen billion, one hundred twenty-two million, one hundred thousand, three hundred thirty".

Divisors: 1 2 5 10 17 34 61 85 122 170 305 389 610 778 977 1037 1945 1954 2074 3890 4885 5185 6613 9770 10370 13226 16609 23729 33065 33218 47458 59597 61153 66130 83045 118645 119194 122306 166090 237290 297985 305765 380053 403393 595970 611530 760106 806786 1013149 1039601 1900265 2016965 2026298 2079202 3730333 3800530 4033930 5065745 5198005 6460901 7460666 10131490 10396010 12921802 18651665 23183233 23788517 32304505 37303330 46366466 47577034 59746481 63415661 64609010 115916165 118942585 119492962 126831322 231832330 237885170 298732405 317078305 394114961 404404789 597464810 634156610 788229922 808809578 1015690177 1451099537 1970574805 2022023945 2031380354 2902199074 3644535341 3941149610 4044047890 5078450885 7255497685 7289070682 10156901770 14510995370 18222676705 23241381109 24668692129 36445353410 46482762218 49337384258 61957100797 116206905545 123343460645 123914201594 232413811090 246686921290 309785503985 395103478853 619571007970 790206957706 1417724247649 1975517394265 2835448495298 3951034788530 7088621238245 14177242476490 24101312210033 48202624420066 120506561050165 241013122100330