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210122220011011 = 7111753101197152219
BaseRepresentation
bin101111110001101011100100…
…010010000111111000000011
31000112222111011210101011111021
4233301223210102013320003
5210020120301310323021
62022520452033330311
762154554330636620
oct5761534422077003
91015874153334437
10210122220011011
1160a51373359630
121b697116406997
13903259551b539
1439c5d80c65347
151945b63d08c41
hexbf1ae4487e03

210122220011011 has 128 divisors (see below), whose sum is σ = 286863027517440. Its totient is φ = 148934962176000.

The previous prime is 210122220010993. The next prime is 210122220011017. The reversal of 210122220011011 is 110110022221012.

210122220011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210122220011011 - 217 = 210122219879939 is a prime.

It is a super-2 number, since 2×2101222200110112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210122220011017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1380318060 + ... + 1380470278.

It is an arithmetic number, because the mean of its divisors is an integer number (2241117402480).

Almost surely, 2210122220011011 is an apocalyptic number.

210122220011011 is a deficient number, since it is larger than the sum of its proper divisors (76740807506429).

210122220011011 is a wasteful number, since it uses less digits than its factorization.

210122220011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152605.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210122220011011 its reverse (110110022221012), we get a palindrome (320232242232023).

The spelling of 210122220011011 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred twenty million, eleven thousand, eleven".

Divisors: 1 7 11 17 53 77 101 119 187 197 371 583 707 901 1111 1309 1379 1717 2167 3349 4081 5353 6307 7777 9911 10441 12019 15169 18887 19897 23443 36839 37471 58883 69377 73087 91001 114851 132209 139279 152219 177497 218867 257873 338249 412181 637007 803957 1001011 1054541 1065533 1242479 1532069 1674409 1952467 2367743 2587723 3720739 7007077 7381787 8067607 11599951 11720863 13667269 15374119 17927197 18114061 26045173 28464953 29987143 56473249 81199657 88743677 107618833 125490379 137149319 169115309 197199167 199254671 209910001 261360023 329858573 509781431 621205739 814828307 960045233 1183807163 1380394169 1508642509 1589318579 1829520161 2309010011 2874960253 3028701443 3568470017 5607595741 5703798149 8963111377 10560497563 11125230053 13852081219 17482504369 20124721771 21200910101 27018415843 33315715873 39253170187 51487924531 62741779639 96964568533 122377530583 152372893409 160521176479 189128910901 233210011111 297202574273 360415471717 566367169841 1066610253863 1123648235353 1765732941269 2080418019911 2728860000143 3964570188887 12360130588883 19102020001001 30017460001573 210122220011011