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211101220401414 = 23717484816098471
BaseRepresentation
bin101111111111111011010101…
…010000001111000100000110
31000200110002011000022220010220
4233333323111100033010012
5210132140244410321124
62024550321205325210
762315363014645230
oct5777732520170406
91020402130286126
10211101220401414
1161299585578a72
121b8149b7706806
1390a39b4caab85
143a1b4d433b250
151961361b9d879
hexbffed540f106

211101220401414 has 64 divisors (see below), whose sum is σ = 510911054502912. Its totient is φ = 56765534515200.

The previous prime is 211101220401373. The next prime is 211101220401419. The reversal of 211101220401414 is 414104022101112.

It is a super-2 number, since 2×2111012204014142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101220401419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31566199 + ... + 37664669.

It is an arithmetic number, because the mean of its divisors is an integer number (7982985226608).

Almost surely, 2211101220401414 is an apocalyptic number.

211101220401414 is an abundant number, since it is smaller than the sum of its proper divisors (299809834101498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211101220401414 is a wasteful number, since it uses less digits than its factorization.

211101220401414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146981.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 211101220401414 its reverse (414104022101112), we get a palindrome (625205242502526).

The spelling of 211101220401414 in words is "two hundred eleven trillion, one hundred one billion, two hundred twenty million, four hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 48481 96962 145443 290886 339367 678734 824177 1018101 1648354 2036202 2472531 4945062 5769239 6098471 11538478 12196942 17307717 18295413 34615434 36590826 42689297 85378594 103674007 128067891 207348014 256135782 311022021 622044042 725718049 1451436098 2177154147 4354308294 295659972551 591319945102 886979917653 1773959835306 2069619807857 4139239615714 5026219533367 6208859423571 10052439066734 12417718847142 15078658600101 30157317200202 35183536733569 70367073467138 105550610200707 211101220401414