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10032311220201 = 3271409220717393
BaseRepresentation
bin1001000111111101010001…
…0110001011011111101001
31022112002011000111022021200
42101333110112023133221
52303332133133021301
633200440302354413
72053545011235414
oct221772426133751
938462130438250
1010032311220201
113218752161a96
1211603b488ba09
1357a0732c382a
142697d04c6b7b
15125e6b907c86
hex91fd458b7e9

10032311220201 has 48 divisors (see below), whose sum is σ = 14738668139520. Its totient is φ = 6574526622720.

The previous prime is 10032311220163. The next prime is 10032311220221. The reversal of 10032311220201 is 10202211323001.

10032311220201 is a `hidden beast` number, since 10 + 0 + 3 + 231 + 1 + 220 + 201 = 666.

It is not a de Polignac number, because 10032311220201 - 225 = 10032277665769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10032311220221) 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, 576792961 + ... + 576810353.

It is an arithmetic number, because the mean of its divisors is an integer number (307055586240).

Almost surely, 210032311220201 is an apocalyptic number.

It is an amenable number.

10032311220201 is a deficient number, since it is larger than the sum of its proper divisors (4706356919319).

10032311220201 is a wasteful number, since it uses less digits than its factorization.

10032311220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20086 (or 20083 counting only the distinct ones).

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

Adding to 10032311220201 its reverse (10202211323001), we get a palindrome (20234522543202).

The spelling of 10032311220201 in words is "ten trillion, thirty-two billion, three hundred eleven million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 71 213 409 639 1227 2207 3681 6621 17393 19863 29039 52179 87117 156537 156697 261351 470091 902663 1234903 1410273 2707989 3704709 7113737 8123967 11114127 21341211 38386351 64023633 64089073 115159053 192267219 345477159 505075327 576801657 1515225981 2725430921 4545677943 8176292763 15700017559 24528878289 47100052677 141300158031 1114701246689 3344103740067 10032311220201