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10202222000201 = 721182125319109
BaseRepresentation
bin1001010001110110001111…
…0100010111100001001001
31100010022201101121020120112
42110131203310113201021
52314123122313001301
633410500332204105
72102041400110100
oct224354364274111
940108641536515
1010202222000201
113283813390920
121189313609635
135900b090c9ca
14273b0c377037
1512a5b34cc9bb
hex94763d17849

10202222000201 has 48 divisors (see below), whose sum is σ = 12969104736960. Its totient is φ = 7936091856000.

The previous prime is 10202222000161. The next prime is 10202222000209. The reversal of 10202222000201 is 10200022220201.

It is not a de Polignac number, because 10202222000201 - 26 = 10202222000137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202222000209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120011035 + ... + 1120020143.

It is an arithmetic number, because the mean of its divisors is an integer number (270189682020).

Almost surely, 210202222000201 is an apocalyptic number.

10202222000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202222000201 is a deficient number, since it is larger than the sum of its proper divisors (2766882736759).

10202222000201 is a wasteful number, since it uses less digits than its factorization.

10202222000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12486 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10202222000201 its reverse (10200022220201), we get a palindrome (20402244220402).

The spelling of 10202222000201 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, two hundred one", and thus it is an aban number.

Divisors: 1 7 11 49 77 539 821 2531 5747 9031 9109 17717 27841 40229 63217 63763 100199 124019 194887 442519 446341 701393 1364209 2077951 4909751 7478489 14545657 22857461 23054879 52349423 82263379 101819599 160002227 161384153 253603669 366445961 575843653 1120015589 1129689071 1775225683 4030905571 12426579781 18928055659 132496389613 208208612249 927474727291 1457460285743 10202222000201