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1211011002201 = 3721113130144281
BaseRepresentation
bin10001100111110101111…
…000010110111101011001
311021202211102211222101210
4101213311320112331121
5124320122304032301
62324155240333333
7153330660451200
oct21476570267531
94252742758353
101211011002201
1142765015a010
12176851174249
138a275895120
1442882a60237
152177b6eead6
hex119f5e16f59

1211011002201 has 96 divisors (see below), whose sum is σ = 2208423401856. Its totient is φ = 580245120000.

The previous prime is 1211011002197. The next prime is 1211011002221. The reversal of 1211011002201 is 1022001101121.

It is not a de Polignac number, because 1211011002201 - 22 = 1211011002197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1211011002221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27326181 + ... + 27370461.

It is an arithmetic number, because the mean of its divisors is an integer number (23004410436).

Almost surely, 21211011002201 is an apocalyptic number.

1211011002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211011002201 is a deficient number, since it is larger than the sum of its proper divisors (997412399655).

1211011002201 is a wasteful number, since it uses less digits than its factorization.

1211011002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45623 (or 45616 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1211011002201 its reverse (1022001101121), we get a palindrome (2233012103322).

The spelling of 1211011002201 in words is "one trillion, two hundred eleven billion, eleven million, two thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1301 1617 1911 3003 3903 7007 9107 14311 16913 21021 27321 42933 44281 50739 63749 100177 118391 132843 186043 191247 300531 309967 355173 487091 558129 575653 701239 828737 929901 1302301 1461273 1726959 2103717 2169769 2486211 3409637 3906903 4029571 6332183 6509307 9116107 10228911 12088713 18996549 23867459 27348321 28206997 44325281 57609581 71602377 84620991 132975843 172828743 310276967 403267067 633705391 748924553 930830901 1209801201 1901116173 2246773659 2822869469 4435937737 5242471871 8238170083 8468608407 13307813211 15727415613 24714510249 31051564159 36697303097 57667190581 93154692477 110091909291 173001571743 403670334067 1211011002201