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102103222011 = 37172953317587
BaseRepresentation
bin101111100010111010…
…0111000011011111011
3100202112202020002110020
41133011310320123323
53133101411101021
6114523334221523
710243133032050
oct1370564703373
9322482202406
10102103222011
113a335674a0a
12179561b48a3
139822487ccb
144d28509027
1529c8bdb7c6
hex17c5d386fb

102103222011 has 128 divisors (see below), whose sum is σ = 174478510080. Its totient is φ = 51766321152.

The previous prime is 102103222007. The next prime is 102103222043. The reversal of 102103222011 is 110222301201.

It is not a de Polignac number, because 102103222011 - 22 = 102103222007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102103222061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173940460 + ... + 173941046.

It is an arithmetic number, because the mean of its divisors is an integer number (1363113360).

Almost surely, 2102103222011 is an apocalyptic number.

102103222011 is a deficient number, since it is larger than the sum of its proper divisors (72375288069).

102103222011 is a wasteful number, since it uses less digits than its factorization.

102103222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102103222011 its reverse (110222301201), we get a palindrome (212325523212).

The spelling of 102103222011 in words is "one hundred two billion, one hundred three million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 7 17 21 29 51 53 87 119 159 203 317 357 371 493 587 609 901 951 1113 1479 1537 1761 2219 2703 3451 4109 4611 5389 6307 6657 9193 9979 10353 10759 12327 16167 16801 17023 18921 26129 27579 29937 31111 32277 37723 50403 51069 64351 69853 78387 93333 113169 117607 119161 156281 182903 186079 193053 209559 217777 285617 289391 352821 357483 468843 487229 528887 548709 558237 653331 856851 868173 902219 1093967 1302553 1461687 1586661 1999319 2025737 2706657 3163343 3281901 3410603 3702209 3907659 5396291 5997957 6077211 6315533 8282893 9490029 9862187 10231809 11106627 15337723 16188873 18946599 22143401 24848679 29586561 37774037 46013169 57980251 66430203 69035309 91736947 107364061 113322111 167657179 173940753 207105927 275210841 286003423 322092183 502971537 642158629 858010269 1173600253 1926475887 2002023961 3520800759 4862058191 6006071883 14586174573 34034407337 102103222011