Search a number
-
+
211111212102102 = 232132947661910981
BaseRepresentation
bin110000000000000100101000…
…110011100011000111010110
31000200111000221100110212202100
4300000010220303203013112
5210132321230244231402
62024555052454222530
762316165432003024
oct6000045063430726
91020430840425670
10211111212102102
11612a2842634644
121b816925954a46
1390a49180508c0
143a1bba133d714
151961748e6c71c
hexc00128ce31d6

211111212102102 has 96 divisors (see below), whose sum is σ = 520420890487680. Its totient is φ = 61382976641280.

The previous prime is 211111212102047. The next prime is 211111212102143. The reversal of 211111212102102 is 201201212111112.

It is a happy number.

211111212102102 is a `hidden beast` number, since 211 + 1 + 11 + 21 + 210 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330636549 + ... + 331274432.

It is an arithmetic number, because the mean of its divisors is an integer number (5421050942580).

Almost surely, 2211111212102102 is an apocalyptic number.

211111212102102 is an abundant number, since it is smaller than the sum of its proper divisors (309309678385578).

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

211111212102102 is a wasteful number, since it uses less digits than its factorization.

211111212102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661911078 (or 661911075 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211111212102102 its reverse (201201212111112), we get a palindrome (412312424213214).

The spelling of 211111212102102 in words is "two hundred eleven trillion, one hundred eleven billion, two hundred twelve million, one hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 29 39 47 58 78 87 94 117 141 174 234 261 282 377 423 522 611 754 846 1131 1222 1363 1833 2262 2726 3393 3666 4089 5499 6786 8178 10998 12267 17719 24534 35438 53157 106314 159471 318942 661910981 1323821962 1985732943 3971465886 5957198829 8604842753 11914397658 17209685506 19195418449 25814528259 31109816107 38390836898 51629056518 57586255347 62219632214 77443584777 93329448321 115172510694 154887169554 172758766041 186658896642 249540439837 279988344963 345517532082 404427609391 499080879674 559976689926 748621319511 808855218782 902184667103 1213282828173 1497242639022 1804369334206 2245863958533 2426565656346 2706554001309 3639848484519 4491727917066 5413108002618 7279696969038 8119662003927 11728400672339 16239324007854 23456801344678 35185202017017 70370404034034 105555606051051 211111212102102