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211201000212111 = 37133895713482953
BaseRepresentation
bin110000000001011000010000…
…100110000000011010001111
31000200210121200211122110110020
4300001120100212000122033
5210140304122023241421
62025104222225113223
762325524446231350
oct6001302046003217
91020717624573406
10211201000212111
1161327928691638
121b830203788813
1390b0226cb4990
143a2227c041d27
151963c518e1dc6
hexc0161098068f

211201000212111 has 64 divisors (see below), whose sum is σ = 348085865487360. Its totient is φ = 110921711662080.

The previous prime is 211201000212077. The next prime is 211201000212119. The reversal of 211201000212111 is 111212000102112.

It is a happy number.

It is not a de Polignac number, because 211201000212111 - 221 = 211200998114959 is a prime.

It is a super-2 number, since 2×2112010002121112 (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 (211201000212119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58897011 + ... + 62379963.

It is an arithmetic number, because the mean of its divisors is an integer number (5438841648240).

Almost surely, 2211201000212111 is an apocalyptic number.

211201000212111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211201000212111 is a deficient number, since it is larger than the sum of its proper divisors (136884865275249).

211201000212111 is a wasteful number, since it uses less digits than its factorization.

211201000212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483936.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211201000212111 its reverse (111212000102112), we get a palindrome (322413000314223).

The spelling of 211201000212111 in words is "two hundred eleven trillion, two hundred one billion, two hundred twelve thousand, one hundred eleven".

Divisors: 1 3 7 13 21 39 91 273 389 571 1167 1713 2723 3997 5057 7423 8169 11991 15171 22269 35399 51961 106197 155883 222119 666357 1554833 2887547 3482953 4664499 8662641 10448859 20212829 24380671 45278389 60638487 73142013 135835167 316948723 950846169 1354868717 1988766163 4064606151 5966298489 9484081019 13921363141 17613293321 25853960119 28452243057 41764089423 52839879963 77561880357 123293053247 180977720833 369879159741 542933162499 773630037407 2320890112221 5415410261849 10057190486291 16246230785547 30171571458873 70400333404037 211201000212111