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211142012202 = 23311897139623
BaseRepresentation
bin1100010010100100001…
…0110110110100101010
3202011222211221112212000
43010221002312310222
511424404323342302
6240555230031430
721153203330412
oct3045102666452
9664884845760
10211142012202
11815aa185950
1234b07048576
1316bab7a99c4
14a30db9b642
15575b71631c
hex31290b6d2a

211142012202 has 64 divisors (see below), whose sum is σ = 511929400320. Its totient is φ = 63973681200.

The previous prime is 211142012197. The next prime is 211142012209. The reversal of 211142012202 is 202210241112.

211142012202 is a `hidden beast` number, since 21 + 1 + 1 + 420 + 1 + 220 + 2 = 666.

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 (211142012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5308963 + ... + 5348585.

It is an arithmetic number, because the mean of its divisors is an integer number (7998896880).

Almost surely, 2211142012202 is an apocalyptic number.

211142012202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211142012202 is an abundant number, since it is smaller than the sum of its proper divisors (300787388118).

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

211142012202 is a wasteful number, since it uses less digits than its factorization.

211142012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48616 (or 48610 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211142012202 its reverse (202210241112), we get a palindrome (413352253314).

The spelling of 211142012202 in words is "two hundred eleven billion, one hundred forty-two million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 8971 17942 26913 39623 53826 79246 80739 98681 118869 161478 197362 237738 242217 296043 356607 435853 484434 592086 713214 871706 888129 1069821 1307559 1776258 2139642 2615118 2664387 3922677 5328774 7845354 11768031 23536062 355457933 710915866 1066373799 2132747598 3199121397 3910037263 6398242794 7820074526 9597364191 11730111789 19194728382 23460223578 35190335367 70380670734 105571006101 211142012202