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211102114212 = 223211248462377
BaseRepresentation
bin1100010010011010101…
…0101010000110100100
3202011220001212112002200
43010212222222012210
511424314120123322
6240551242534500
721152210235633
oct3044652520644
9664801775080
10211102114212
1181589704a00
1234ab5807430
1316ba344a722
14a30877351a
155757e848ac
hex3126aaa1a4

211102114212 has 54 divisors (see below), whose sum is σ = 586540160934. Its totient is φ = 63970336320.

The previous prime is 211102114211. The next prime is 211102114213. The reversal of 211102114212 is 212411201112.

211102114212 is a `hidden beast` number, since 21 + 1 + 10 + 211 + 421 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (211102114211) and next prime (211102114213).

It can be written as a sum of positive squares in only one way, i.e., 106130002176 + 104972112036 = 325776^2 + 323994^2 .

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

It is not an unprimeable number, because it can be changed into a prime (211102114211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24226833 + ... + 24235544.

Almost surely, 2211102114212 is an apocalyptic number.

211102114212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211102114212 is an abundant number, since it is smaller than the sum of its proper divisors (375438046722).

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

211102114212 is a wasteful number, since it uses less digits than its factorization.

211102114212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48462409 (or 48462393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211102114212 its reverse (212411201112), we get a palindrome (423513315324).

The spelling of 211102114212 in words is "two hundred eleven billion, one hundred two million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 48462377 96924754 145387131 193849508 290774262 436161393 533086147 581548524 872322786 1066172294 1599258441 1744645572 2132344588 3198516882 4797775323 5863947617 6397033764 9595550646 11727895234 17591842851 19191101292 23455790468 35183685702 52775528553 70367371404 105551057106 211102114212