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1221010200201 = 311597919494073
BaseRepresentation
bin10001110001001001111…
…000010001011010001001
311022201122022002212101110
4101301021320101122021
5130001112102401301
62332531354040533
7154133525313021
oct21611170213211
94281568085343
101221010200201
11430911476510
12178781a19149
138b1aa36152c
1443150a54a81
1521b644a00d6
hex11c49e11689

1221010200201 has 64 divisors (see below), whose sum is σ = 1830366720000. Its totient is φ = 717710522880.

The previous prime is 1221010200143. The next prime is 1221010200239. The reversal of 1221010200201 is 1020020101221.

It is not a de Polignac number, because 1221010200201 - 210 = 1221010199177 is a prime.

It is a super-2 number, since 2×12210102002012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221010200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299779501 + ... + 299783573.

It is an arithmetic number, because the mean of its divisors is an integer number (28599480000).

Almost surely, 21221010200201 is an apocalyptic number.

1221010200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221010200201 is a deficient number, since it is larger than the sum of its proper divisors (609356519799).

1221010200201 is a wasteful number, since it uses less digits than its factorization.

1221010200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1221010200201 its reverse (1020020101221), we get a palindrome (2241030301422).

The spelling of 1221010200201 in words is "one trillion, two hundred twenty-one billion, ten million, two hundred thousand, two hundred one".

Divisors: 1 3 11 33 59 79 177 237 649 869 1947 1949 2607 4073 4661 5847 12219 13983 21439 44803 51271 64317 114991 134409 153813 153971 240307 321767 344973 461913 720921 965301 1264901 1693681 2643377 3539437 3794703 5081043 7930131 7938277 9084289 10618311 18984253 23814831 27252867 56952759 87321047 99927179 208826783 261963141 299781537 468358343 626480349 627123883 1405075029 1881371649 5151941773 6898362713 15455825319 20695088139 37000309097 111000927291 407003400067 1221010200201