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10220399302201 = 11173141201121383
BaseRepresentation
bin1001010010111001111101…
…0001010001011000111001
31100012001122012101212012221
42110232133101101120321
52314422334210132301
633423104151004041
72103254010452464
oct224563721213071
940161565355187
1010220399302201
1132904a0a62960
121190947069621
13591a197ab0ca
142749545582db
1512acc9209da1
hex94b9f451639

10220399302201 has 64 divisors (see below), whose sum is σ = 12490215800832. Its totient is φ = 8251741440000.

The previous prime is 10220399302181. The next prime is 10220399302213.

10220399302201 is nontrivially palindromic in base 10.

10220399302201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10220399302201 - 29 = 10220399301689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220399302271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 477957756 + ... + 477979138.

It is an arithmetic number, because the mean of its divisors is an integer number (195159621888).

Almost surely, 210220399302201 is an apocalyptic number.

10220399302201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220399302201 is a deficient number, since it is larger than the sum of its proper divisors (2269816498631).

10220399302201 is a wasteful number, since it uses less digits than its factorization.

10220399302201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23494.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 10220399302201 in words is "ten trillion, two hundred twenty billion, three hundred ninety-nine million, three hundred two thousand, two hundred one".

Divisors: 1 11 17 31 41 187 341 451 527 697 1271 2011 5797 7667 13981 21383 21607 22121 34187 62341 82451 235213 237677 363511 376057 662873 685751 876703 906961 1059797 1401667 2555981 3998621 7291603 9643733 11268841 11657767 14903951 15418337 27177793 28115791 43001213 43451677 123957251 163943461 298955723 462022481 473013343 477968447 731020621 1333037603 1763049733 5082247291 8041226831 14663413633 19393547063 22661639251 29971845461 54654541723 249278031761 329690300071 601199958953 929127209291 10220399302201